<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
    <front>
        <journal-meta>
            <journal-id journal-id-type="pmc">F1000Research</journal-id>
            <journal-title-group>
                <journal-title>F1000Research</journal-title>
            </journal-title-group>
            <issn pub-type="epub">2046-1402</issn>
            <publisher>
                <publisher-name>F1000 Research Limited</publisher-name>
                <publisher-loc>London, UK</publisher-loc>
            </publisher>
        </journal-meta>
        <article-meta>
            <article-id pub-id-type="doi">10.12688/f1000research.178626.1</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Research Article</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>A Hybrid Approach to Evaluate Business Efficiency, Profitability, and Market Valuation: An Empirical Validation</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 1; peer review: 1 approved with reservations]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Liao</surname>
                        <given-names>Ying-Kai</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Lin</surname>
                        <given-names>Lun-Chuan</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Dang</surname>
                        <given-names>Gia-Vung</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <xref ref-type="aff" rid="a3">3</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Thai</surname>
                        <given-names>Trung Dam-Huy</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-9287-1150</uri>
                    <xref ref-type="aff" rid="a4">4</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Chang</surname>
                        <given-names>Wei-Shiun</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <xref ref-type="aff" rid="a5">5</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Vo</surname>
                        <given-names>Thi Thinh</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Data Curation</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a6">6</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Wu</surname>
                        <given-names>Wann-Yih</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Project Administration</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a7">7</xref>
                </contrib>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Sharma</surname>
                        <given-names>Khemraj</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <uri content-type="orcid">https://orcid.org/0009-0004-3035-1335</uri>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a8">8</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Program of International Busines, Nanhua University, Dalin, Taiwan Province, 62249, Taiwan</aff>
                <aff id="a2">
                    <label>2</label>Program of International Business, Nanhua University, Dalin, Taiwan Province, 62249, Taiwan</aff>
                <aff id="a3">
                    <label>3</label>Institute of International Management, National Cheng Kung University, Tainan City, 701, Taiwan</aff>
                <aff id="a4">
                    <label>4</label>International School of Business, University of Economics Ho Chi Minh City, Ho Chi Minh City, Ho Chi Minh, Vietnam</aff>
                <aff id="a5">
                    <label>5</label>Institute of International Management, National Cheng Kung University, Tainan City, Tainan City, 701, Taiwan</aff>
                <aff id="a6">
                    <label>6</label>Department of Business Administration, Nanhua University, Dalin, Taiwan Province, 62249, Taiwan</aff>
                <aff id="a7">
                    <label>7</label>Department of Business Administration, Nanhua University, Dalin, Taiwan Province, 62249, Taiwan</aff>
                <aff id="a8">
                    <label>8</label>Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha, 751024, India</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:khemraj.sharma@kiit.ac.in">khemraj.sharma@kiit.ac.in</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>18</day>
                <month>4</month>
                <year>2026</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2026</year>
            </pub-date>
            <volume>15</volume>
            <elocation-id>567</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>31</day>
                    <month>3</month>
                    <year>2026</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Liao YK et al.</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <self-uri content-type="pdf" xlink:href="https://f1000research.com/articles/15-567/pdf"/>
            <abstract>
                <sec>
                    <title>Background</title>
                    <p>Internal functional capabilities &#x2014; encompassing marketing, operations, research and development, and human resources &#x2014; are widely recognized as key determinants of firm competitiveness. However, most existing studies rely on linear regression models that fail to capture nonlinear interdependencies among these capabilities, and few simultaneously assess both profitability-based and market value-based performance outcomes. A methodological gap remains in combining efficiency benchmarking with predictive modeling to evaluate how capability configurations translate into financial and investor-oriented results across diverse industry contexts.</p>
                </sec>
                <sec>
                    <title>Methods</title>
                    <p>This study proposes a hybrid two-stage analytical framework integrating Data Envelopment Analysis and Backpropagation Neural Networks. In the first stage, Data Envelopment Analysis quantifies the relative transformation efficiency of each functional capability using objective multi-input and multi-output configurations. In the second stage, Backpropagation Neural Networks &#x2014; benchmarked against Ordinary Least Squares Multiple Regression &#x2014; model the nonlinear relationships between capability efficiency scores and firm performance outcomes. The empirical sample comprises 1,271 publicly listed firms in Taiwan across high-technology, manufacturing, and service industries, drawn from the Taiwan Economic Journal database covering fiscal years 2020 to 2023.</p>
                </sec>
                <sec>
                    <title>Results</title>
                    <p>Backpropagation Neural Networks consistently outperformed regression-based models in predictive accuracy across all three performance dimensions &#x2014; market value, Tobin&#x2019;s Q, and stock return. Industry-specific patterns emerged: research and development and human resource capabilities were most critical in high-technology firms, operational capability dominated in manufacturing, and marketing capability was most influential in service firms. Performance-tier segmentation further revealed that high-performing firms maintained a more balanced and strategically coherent deployment of capabilities, whereas low-performing firms exhibited excessive reliance on short-term profitability signals.</p>
                </sec>
                <sec>
                    <title>Conclusions</title>
                    <p>Functional capability configurations differ meaningfully across industries and performance tiers. Effective capability alignment &#x2014; rather than resource possession alone &#x2014; is the primary mechanism through which firms achieve superior profitability and favorable market valuation.</p>
                </sec>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>DEA</kwd>
                <kwd>BPNN</kwd>
                <kwd>firm capabilities</kwd>
                <kwd>business performance</kwd>
                <kwd>efficiency</kwd>
                <kwd>RBV</kwd>
                <kwd>strategic management</kwd>
            </kwd-group>
            <funding-group>
                <award-group id="fund-1">
                    <funding-source>This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors</funding-source>
                </award-group>
                <funding-statement>The author(s) declared that no grants were involved in supporting this work.</funding-statement>
            </funding-group>
        </article-meta>
    </front>
    <body>
        <sec id="sec5" sec-type="intro">
            <title>1. Introduction</title>
            <p>In today&#x2019;s turbulent business environment, internal functional capabilities&#x2014;specifically in marketing, operations, research and development (R&amp;D), and human resources (HR)&#x2014;are widely acknowledged as key contributors to firm competitiveness (
                <xref ref-type="bibr" rid="ref47">Morgan et al., 2009</xref>; 
                <xref ref-type="bibr" rid="ref63">Vorhies &amp; Morgan, 2005</xref>). These capabilities allow firms to transform resources into strategic outputs, which directly impact financial performance and market valuation. Despite a substantial body of research, several methodological and conceptual limitations remain unaddressed.</p>
            <p>First, most existing studies use traditional linear regression models to examine the relationship between capabilities and performance (
                <xref ref-type="bibr" rid="ref48">Nath et al., 2010</xref>; 
                <xref ref-type="bibr" rid="ref56">Song et al., 2007</xref>). These models are limited in their ability to capture nonlinear patterns and interdependencies among capabilities, which are critical in dynamic and complex organizational environments.</p>
            <p>Second, many prior works emphasize internal performance metrics such as profitability, while overlooking forward-looking, market value-based indicators like Tobin&#x2019;s Q, market capitalization, or stock returns (
                <xref ref-type="bibr" rid="ref39">Lee &amp; Kwon, 2017</xref>; 
                <xref ref-type="bibr" rid="ref42">Luo &amp; Donthu, 2006</xref>). This creates a gap in understanding how internal capabilities influence external stakeholder perceptions and firm valuation. Market-based indicators are particularly sensitive to intangible resources and signaling effects, which are underexplored in current empirical models.</p>
            <p>Third, while DEA has been used for benchmarking efficiency in specific functional areas such as marketing (
                <xref ref-type="bibr" rid="ref17">Donthu et al., 2005</xref>) or operations (
                <xref ref-type="bibr" rid="ref12">Chiang et al., 2012</xref>), it is often used in isolation without integration with predictive modeling tools. DEA also assumes linearity and constant returns to scale, which do not reflect the complexity of strategic decision-making in practice. There is a clear methodological gap in combining DEA with machine learning methods like BPNN to model both efficiency and performance prediction simultaneously.</p>
            <p>This study draws upon three complementary theoretical perspectives&#x2014;Resource-Based View, Dynamic Capability Theory, and Signaling Theory&#x2014;to construct a comprehensive framework that links internal functional capabilities to both profitability-based and market value-based performance. These perspectives allow for a multidimensional understanding of how firms transform internal resources into strategic value under varying conditions. However, despite their theoretical strengths, the application of these frameworks in empirical studies presents notable limitations that this research aims to address.</p>
            <p>The RBV, introduced by 
                <xref ref-type="bibr" rid="ref5">Barney (1991)</xref>, suggests that competitive advantage stems from a firm&#x2019;s ability to possess and deploy resources that are valuable, rare, inimitable, and non-substitutable (VRIN). These resources become truly strategic only when effectively converted into capabilities that enhance performance. Prior studies have operationalized RBV by examining the financial input-output relationships within core business functions (
                <xref ref-type="bibr" rid="ref48">Nath et al., 2010</xref>; 
                <xref ref-type="bibr" rid="ref56">Song et al., 2007</xref>). However, most of this work relies heavily on proxy variables such as R&amp;D expenditure or marketing spend without directly measuring the integrative, transformational nature of capabilities. Furthermore, many studies treat capabilities as isolated, static constructs rather than as interconnected systems of value creation. This limits our understanding of how firms configure multiple capabilities simultaneously and how such configurations vary across sectors. To address the shortcomings of RBV&#x2019;s static assumptions, DCT offers an evolutionary perspective that emphasizes sensing, seizing, and reconfiguring capabilities in response to environmental change (
                <xref ref-type="bibr" rid="ref62">Teece et al., 1997</xref>). While DCT has been applied in studies focused on innovation and market responsiveness (
                <xref ref-type="bibr" rid="ref64">Wang &amp; Ahmed, 2007</xref>), empirical validations of DCT often lack methodological rigor. Many studies fail to measure actual reconfiguration mechanisms and instead infer dynamic capability from static resource stocks. Additionally, DCT applications are frequently confined to high-tech sectors, limiting generalizability. Few studies empirically examine how functional capabilities dynamically interact under different performance conditions or how they operate in traditional or service-based industries. This creates a research gap in understanding the sector-specific adaptability of dynamic capabilities across broader industrial contexts.</p>
            <p>In parallel, ST provides a lens for interpreting market value-based outcomes. It holds that firms signal quality and potential to external stakeholders through observable attributes such as profitability, R&amp;D intensity, or brand equity (
                <xref ref-type="bibr" rid="ref14">Connelly et al., 2011</xref>; 
                <xref ref-type="bibr" rid="ref57">Spence, 1974</xref>). Existing studies using ST have largely focused on isolated signals&#x2014;such as corporate social responsibility, financial transparency, or patent filings&#x2014;as predictors of investor perception and valuation (
                <xref ref-type="bibr" rid="ref45">Mizik &amp; Jacobson, 2003</xref>). However, they rarely integrate operational and functional efficiencies as multidimensional signals. Moreover, few studies assess whether these signals differ in strength or interpretation depending on a firm&#x2019;s performance tier (i.e., high- vs. low-performing firms), leaving unanswered how internal efficiency translates to external credibility under varied strategic conditions.</p>
            <p>This study responds to these gaps in several ways. First, it employs DEA to quantify functional efficiency based on objective input-output data, offering a more precise operationalization of the resource-to-capability transformation than prior proxy-based measures. Second, it applies a cross-industry approach, encompassing firms in the high-tech, manufacturing, and service sectors, to examine how capabilities vary in strategic value across different market contexts. Third, it integrates OLS multiple regression (OLSMR) with Backpropagation Neural Network (BPNN) to capture both linear and nonlinear effects, addressing methodological limitations in prior studies and allowing for more accurate prediction and interpretation of performance outcomes. Finally, by segmenting firms into performance tiers and analyzing differential impacts, this study offers new insights into the contingent signaling power of functional capabilities, advancing both DCT and ST.</p>
            <p>Motivated by these gaps, this study proposes a hybrid DEA&#x2013;BPNN framework to evaluate and predict firm performance based on functional capabilities. The research objectives are as follows: (1) To measure the efficiency of marketing, operations, R&amp;D, and HR capabilities using DEA&#x2014;addressing the need for objective, multi-input/output efficiency assessment; (2) To compare BPNN with traditional OLS regression for robustness validation; (3) To predict profitability-based and market value-based outcomes using BPNN&#x2014;addressing the lack of nonlinear modeling and performance prediction in prior studies; and (4) To segment firms based on performance tiers, providing benchmarks for strategic capability improvement.</p>
        </sec>
        <sec id="sec6">
            <title>2. Literature review</title>
            <sec id="sec7">
                <title>2.1 Marketing capability and firm performance</title>
                <p>Marketing capability refers to a firm&#x2019;s ability to understand market needs, craft effective value propositions, engage customers, and differentiate itself from competitors. From the perspective of the RBV, marketing-related assets such as brand equity, customer trust, and relationship capital are critical internal resources that, when effectively integrated into business functions, become strategic capabilities contributing to sustainable competitive advantage (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>). In this context, marketing capability supports the development of superior customer value, pricing power, and brand loyalty, all of which can lead to increased revenue generation, improved cost efficiency, and stronger profitability-based performance. Studies have shown that firms with high marketing adaptability and customer-centric strategies are more likely to maintain a competitive edge, especially in volatile or fragmented markets (
                    <xref ref-type="bibr" rid="ref36">Krasnikov &amp; Jayachandran, 2008</xref>; 
                    <xref ref-type="bibr" rid="ref47">Morgan et al., 2009</xref>). This study thus propose:
                    <statement id="state1">
                        <label>Hypothesis 1a (H1a):</label>
                        <p>Marketing capability has a significant effect on profitability-based performance.</p>
                    </statement>

                    <statement id="state2">
                        <label>Hypothesis 1b (H1b):</label>
                        <p>Marketing capability has a significant effect on market value-based performance.</p>
                    </statement>
                </p>
            </sec>
            <sec id="sec8">
                <title>2.2 Operations capability and firm performance</title>
                <p>Operational capability captures a firm&#x2019;s efficiency in managing internal processes, resources, and logistics to deliver consistent value. Under RBV, resources such as advanced production systems, skilled technicians, and supply chain integration are considered valuable and difficult to replicate. These assets become sources of competitive advantage when structured into streamlined, cost-effective operational routines (
                    <xref ref-type="bibr" rid="ref59">Swink et al., 2007</xref>). Operational capability enables firms to enhance efficiency, reduce waste, and achieve consistency in product or service delivery, which in turn contributes to strong financial outcomes and organizational stability. Research has confirmed that firms with higher process flexibility and quality control tend to outperform competitors in both cost leadership and customer satisfaction (
                    <xref ref-type="bibr" rid="ref7">Bozarth &amp; Handfield, 2008</xref>; 
                    <xref ref-type="bibr" rid="ref48">Nath et al., 2010</xref>). This study thus propose:
                    <statement id="state3">
                        <label>Hypothesis 2a (H2a):</label>
                        <p>Operations capability has a significant effect on profitability-based performance.</p>
                    </statement>

                    <statement id="state4">
                        <label>Hypothesis 2b (H2b):</label>
                        <p>Operations capability has a significant effect on market value-based performance.</p>
                    </statement>
                </p>
            </sec>
            <sec id="sec9">
                <title>2.3 R&amp;D capability and firm performance</title>
                <p>R&amp;D capability represents a firm&#x2019;s capacity to innovate, improve products, and develop new technologies. Within the RBV framework, R&amp;D activities contribute to rare and inimitable knowledge resources that support differentiation and long-term profitability. When strategically managed, R&amp;D investments create new revenue streams, enhance productivity, and enable firms to maintain relevance in changing environments (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>; 
                    <xref ref-type="bibr" rid="ref62">Teece et al., 1997</xref>). R&amp;D capability also aligns with DCT by enhancing a firm&#x2019;s responsiveness to emerging market trends and its ability to reconfigure knowledge assets. Empirical findings show that innovation-intensive firms with advanced R&amp;D practices achieve superior financial performance and strategic agility (
                    <xref ref-type="bibr" rid="ref28">Hall et al., 2010</xref>; 
                    <xref ref-type="bibr" rid="ref34">Kafouros et al., 2015</xref>). This study thus propose:
                    <statement id="state5">
                        <label>Hypothesis 3a (H3a):</label>
                        <p>R&amp;D capability has a significant effect on profitability-based performance.</p>
                    </statement>

                    <statement id="state6">
                        <label>Hypothesis 3b (H3b):</label>
                        <p>R&amp;D capability has a significant effect on a firm&#x2019;s market value-based performance.</p>
                    </statement>
                </p>
            </sec>
            <sec id="sec10">
                <title>2.4 Human resource capability and firm performance</title>
                <p>Human resource (HR) capability represents a firm&#x2019;s strategic capacity to manage its workforce effectively by attracting, developing, motivating, and retaining talent aligned with organizational goals. Within the RBV, HR systems are conceptualized as a bundle of valuable, rare, inimitable, and non-substitutable resources that support sustainable competitive advantage (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>; 
                    <xref ref-type="bibr" rid="ref69">Wright et al., 1994</xref>). High-functioning HR systems can optimize employee productivity, reduce hiring and training costs, improve workforce stability, and foster a culture of collaboration and continuous improvement. Empirical studies have shown that firms with superior HR practices tend to report higher gross margins and return on equity due to better alignment between talent strategy and business performance (
                    <xref ref-type="bibr" rid="ref31">Huselid, 1995</xref>; 
                    <xref ref-type="bibr" rid="ref33">Jiang et al., 2012</xref>). Therefore, HR capability is a central mechanism through which internal resources are transformed into operational excellence and financial success.</p>
                <p>Moreover, Dynamic Capability Theory (
                    <xref ref-type="bibr" rid="ref60">Teece, 2007</xref>) suggests that HR capability is instrumental in enabling firms to sense environmental changes and reconfigure internal competencies accordingly. Organizations with agile HR structures&#x2014;such as decentralized decision-making, continuous learning programs, and cross-functional team integration&#x2014;can swiftly adapt to market dynamics, thereby maintaining resilience and driving consistent profitability. These adaptive HR systems enhance internal performance by supporting workforce agility, reducing coordination delays, and promoting a culture of continuous learning and alignment with strategic goals. This study thus propose:
                    <statement id="state7">
                        <label>Hypothesis 4a (H4a):</label>
                        <p>Human Resources capability has a significant effect on profitability-based performance.</p>
                    </statement>

                    <statement id="state8">
                        <label>Hypothesis 4b (H4b):</label>
                        <p>Human Resources capability has a positive effect on market value-based performance.</p>
                    </statement>
                </p>
            </sec>
            <sec id="sec11">
                <title>2.5 Mediating role of profitability-based performance</title>
                <p>Profitability-based performance, encompassing return on equity (ROE), gross and net profit margins, and revenue growth, serves as a direct outcome of how well firms deploy their internal resources. In line with the Resource-Based View (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>), efficient resource transformation into valuable outputs manifests as strong financial performance, which not only sustains business operations but also funds strategic growth initiatives. Functional capabilities&#x2014;such as marketing effectiveness, lean operations, agile HR systems, and innovative R&amp;D&#x2014;collectively shape profitability by enhancing cost efficiency and value creation.</p>
                <p>Signaling Theory (
                    <xref ref-type="bibr" rid="ref57">Spence, 1974</xref>) further argues that internal financial performance serves as a vital signal of firm viability and future earning potential. Investors interpret profitability as an indicator of managerial effectiveness, operational discipline, and future growth. High ROE or strong margins reduce perceived financial risk and enhance a firm&#x2019;s attractiveness in capital markets (
                    <xref ref-type="bibr" rid="ref23">Fama &amp; French, 1992</xref>; 
                    <xref ref-type="bibr" rid="ref37">Lantz &amp; Sahut, 2005</xref>). Profitability thereby acts as a bridge between internal capability and external market value, demonstrating how operational success translates into strategic investor confidence and higher firm valuation.</p>
                <p>Despite functional capabilities possibly having a direct effect on market-based outcomes, much of their impact is channeled through profitability. A firm&#x2019;s ability to consistently generate profits underpins its market credibility, strategic coherence, and stakeholder trust. As such, the indirect effect of capabilities through profitability is expected to play a critical mediating role in shaping Tobin&#x2019;s Q, stock return, and market value outcomes (
                    <xref ref-type="bibr" rid="ref37">Lantz &amp; Sahut, 2005</xref>). This mediational path is especially relevant in sectors characterized by high uncertainty and innovation intensity, where tangible evidence of internal performance is crucial for reassuring external investors and stakeholders. This study thus propose:
                    <statement id="state9">
                        <label>H5:</label>
                        <p>
Profitability-based performance serves as a mediator that mediate the influence of functional capabilities on a firm&#x2019;s market value-based performance.</p>
                    </statement>
                </p>
            </sec>
            <sec id="sec12">
                <title>2.6 Strategic differentiation between high- and low-performing firms</title>
                <p>A growing body of literature suggests that firms do not uniformly benefit from strategic capabilities; rather, the performance impact of such capabilities may differ significantly across firms depending on their performance tier or maturity level. Scholars have long recognized that high-performing firms are more adept at deploying internal resources in ways that enhance both efficiency and strategic signaling, while low-performing firms often focus on remedial actions and survival-oriented strategies (
                    <xref ref-type="bibr" rid="ref20">Dutta et al., 1999</xref>; 
                    <xref ref-type="bibr" rid="ref54">Sirmon et al., 2007</xref>).</p>
                <p>From the RBV, high-performing firms possess superior configurations of VRIN (valuable, rare, inimitable, non-substitutable) resources and the managerial sophistication to integrate them effectively (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>; 
                    <xref ref-type="bibr" rid="ref50">Peteraf &amp; Barney, 2003</xref>). These firms frequently leverage advanced marketing and branding systems to enhance customer engagement and capitalize on reputational assets (
                    <xref ref-type="bibr" rid="ref58">Srivastava et al., 1998</xref>). In contrast, firms with lower performance often lack the absorptive capacity or organizational routines to exploit such capabilities, instead emphasizing fundamental performance levers such as liquidity, financial stability, or operational continuity (
                    <xref ref-type="bibr" rid="ref30">Helfat &amp; Peteraf, 2003</xref>; 
                    <xref ref-type="bibr" rid="ref70">Zahra &amp; George, 2002</xref>).</p>
                <p>The DCT (
                    <xref ref-type="bibr" rid="ref62">Teece et al., 1997</xref>) reinforces this differentiation by asserting that competitive advantage arises not just from resource possession but from the ability to reconfigure and renew those resources in response to environmental shifts. High performers tend to exhibit strong dynamic capabilities in areas such as innovation commercialization, market responsiveness, and strategic adaptation (
                    <xref ref-type="bibr" rid="ref22">Eisenhardt &amp; Martin, 2000</xref>). As such, marketing and profitability-related capabilities are typically emphasized to maintain market leadership and sustain growth trajectories. By contrast, low-performing firms are often in reactive or recovery modes, focusing more heavily on cost control, financial solvency, and incremental process improvements (
                    <xref ref-type="bibr" rid="ref2">Ambrosini &amp; Bowman, 2009</xref>).</p>
                <p>Several empirical studies support this differentiation. For instance, 
                    <xref ref-type="bibr" rid="ref47">Morgan et al. (2009)</xref> found that the returns from marketing capabilities are significantly higher among firms with superior baseline performance. Similarly, 
                    <xref ref-type="bibr" rid="ref24">Fang et al. (2011)</xref> emphasized that marketing and innovation investments yield diminishing returns in firms with limited complementary assets or weak performance histories. Furthermore, low-performing firms often signal financial conservatism and risk management to regain investor trust or maintain access to financing (
                    <xref ref-type="bibr" rid="ref21">Edmans, 2011</xref>; 
                    <xref ref-type="bibr" rid="ref51">Rao et al., 2004</xref>). This study thus propose:
                    <statement id="state10">
                        <label>H6:</label>
                        <p>
The relative impact of strategic functional capabilities differs by performance tier, such that high-performing firms emphasize marketing and profitability, while low-performing firms place greater importance on financial stability and growth.</p>
                    </statement>
                </p>
            </sec>
        </sec>
        <sec id="sec13">
            <title>3. Research design and methodology</title>
            <p>
                <xref ref-type="fig" rid="f1">
Figure 1</xref> presents the conceptual research framework integrating DEA, OLSMR and BPNN to assess the efficiency and strategic importance of functional capabilities in driving firm performance. Grounded in the RBV, DCT, and ST, the model outlines a two-stage analytical process. In the first stage, DEA evaluates the transformation efficiency of marketing, operations, R&amp;D, and human resource capabilities using objective multi-input/output configurations. In the second stage, these DEA-derived efficiency scores are applied in OLSMR and BPNN to capture large linear and nonlinear interactions and predict a frim&#x2019;s market value-based outcomes. This framework enables simultaneous benchmarking of functional efficiency and identification of the most influential capabilities for performance across different industries and firm performance tiers.</p>
            <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                <label>
Figure 1. </label>
                <caption>
                    <title>Research framework.</title>
                    <p>

                        <italic toggle="yes">Note:</italic> The framework illustrates a two-stage analytical process. Stage 1 employs DEA to quantify the transformation efficiency of four functional capabilities &#x2014; marketing, operations, R&amp;D, and HR. Stage 2 applies OLSMR and BPNN to predict profitability-based performance (comprising profitability, stability, and growth) and market value-based performance (comprising market value, Tobin&#x2019;s Q, and stock return).</p>
                </caption>
                <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/197035/b39c0317-cf17-4c6f-b8ac-b96e1c2c0f06_figure1.gif"/>
            </fig>
            <sec id="sec14">
                <title>3.1 Sample and data collection</title>
                <p>As shown in 
                    <xref ref-type="table" rid="T1">
Table 1</xref>, the empirical sample comprises publicly listed firms in Taiwan across three core industry groups: high-tech (n&#x00a0;=&#x00a0;766), manufacturing (n&#x00a0;=&#x00a0;412), and services (n&#x00a0;=&#x00a0;93). Data were extracted from the Taiwan Economic Journal (TEJ) covering fiscal years 2020 to 2023, ensuring consistency and comparability across firms and industries. Firms with incomplete financial data or inconsistent reporting were excluded to maintain data integrity. All monetary figures were converted to USD for standardization.</p>
                <table-wrap id="T1" orientation="portrait" position="float">
                    <label>
Table 1. </label>
                    <caption>
                        <title>The number of firms selected in this study.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Industry</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
No. of firms</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>High tech</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>766</bold>
</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Biotech &amp; Medical</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">127</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Semiconductor</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">175</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Computer &amp; Peripheral</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">108</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Optoelectronic</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">115</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Electronic Parts &amp; Compliances</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">206</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Electronic Products Distribution</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">35</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>Manufacturing</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>412</bold>
</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Cement</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">7</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Foods</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">29</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Plastics</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">25</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Textiles</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">52</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Electric &amp; Machinery</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">95</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Electronic Appliance and Cable</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">16</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Glass &amp; Ceramics</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">5</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Pulp/Paper</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">7</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Iron &amp; Steel</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">47</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Rubber</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">11</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Automobile</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">35</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Building Material</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">83</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>Services</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">
                                    <bold>93</bold>
</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Shipping &amp; Transportation</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">30</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Tourism</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">44</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Trading &amp; Consumer</td>
                                <td align="left" colspan="1" rowspan="1" valign="middle">19</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>

                            <italic toggle="yes">Note:</italic> The sample comprises publicly listed firms in Taiwan drawn from the Taiwan Economic Journal (TEJ) database, covering fiscal years 2020&#x2013;2023. High-tech includes biotech and medical, semiconductor, computer and peripheral, optoelectronic, and electronic parts and components sub-sectors.</p>
                    </table-wrap-foot>
                </table-wrap>
            </sec>
            <sec id="sec15">
                <title>3.2 Measurement of variables</title>
                <p>Functional capabilities were operationalized using objective, resource-based input-output variables grounded in DEA literature and capability theory:
                    <list list-type="order">
                        <list-item>
                            <label>1.</label>
                            <p>Marketing Capability was measured with three inputs: selling expenses, goodwill &amp; intangible assets, and accounts &amp; notes receivable. These represent promotional effort, brand value, and customer relationship effectiveness, respectively. The output was total operating revenue. This approach follows the frameworks of 
                                <xref ref-type="bibr" rid="ref17">Donthu et al. (2005)</xref>; 
                                <xref ref-type="bibr" rid="ref48">Nath et al. (2010)</xref>; (
                                <xref ref-type="bibr" rid="ref55">Slotegraaf et al., 2003</xref>), with the following DEA function.
                                <disp-formula id="e1">

                                    <mml:math display="block">
                                        <mml:mtext mathvariant="italic">Total operating revenue</mml:mtext>
                                        <mml:mo>=</mml:mo>
                                        <mml:mi>f</mml:mi>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mtext mathvariant="italic">Selling expenses</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mtext mathvariant="italic">Goodwill</mml:mtext>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mo>&amp;</mml:mo>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">intangible assets</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">Account</mml:mtext>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mo>&amp;</mml:mo>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">note receivable</mml:mtext>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>2.</label>
                            <p>Operations Capability was measured with cost of capital and employment cost as inputs, and total operating cost as the output. These reflect the firm&#x2019;s ability to manage infrastructure and labor efficiently. This structure is based on 
                                <xref ref-type="bibr" rid="ref12">Chiang et al. (2012)</xref>; 
                                <xref ref-type="bibr" rid="ref48">Nath et al. (2010)</xref>; 
                                <xref ref-type="bibr" rid="ref65">Wang et al. (2010)</xref>, with the following DEA function.
                                <disp-formula id="e2">

                                    <mml:math display="block">
                                        <mml:mtext mathvariant="italic">Total operating cost</mml:mtext>
                                        <mml:mo>=</mml:mo>
                                        <mml:mi>f</mml:mi>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mtext mathvariant="italic">Cost of capital</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">Employment cost</mml:mtext>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>3.</label>
                            <p>R&amp;D Capability was assessed using R&amp;D expenditure and number of employees (scientific/technical staff
) as inputs, with sales revenue as the output. This captures innovation investment and its commercialization. The model draws from 
                                <xref ref-type="bibr" rid="ref3">Bae and Chang (2012)</xref>; 
                                <xref ref-type="bibr" rid="ref6">Belderbos et al. (2004)</xref>; 
                                <xref ref-type="bibr" rid="ref35">Khoshnevis and Teirlinck (2018)</xref>, with the following DEA function.
                                <disp-formula id="e3">

                                    <mml:math display="block">
                                        <mml:mtext mathvariant="italic">Sale revenue</mml:mtext>
                                        <mml:mo>=</mml:mo>
                                        <mml:mi>f</mml:mi>
                                        <mml:mspace width="0.25em"/>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mi>R</mml:mi>
                                            <mml:mo>&amp;</mml:mo>
                                            <mml:mi>D</mml:mi>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">expenditure</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mspace width="0.25em"/>
                                            <mml:mtext mathvariant="italic">Number of employees</mml:mtext>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>4.</label>
                            <p>HR Capability was measured using employee cost and number of employees as inputs, while outputs included labor productivity and retention rate. This setup aligns with the frameworks of 
                                <xref ref-type="bibr" rid="ref26">Gao and Zhang (2022)</xref>; 
                                <xref ref-type="bibr" rid="ref31">Huselid (1995)</xref>; 
                                <xref ref-type="bibr" rid="ref43">Masum et al. (2015)</xref>, with the following DEA function.
                                <disp-formula id="e4">

                                    <mml:math display="block">
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mtext mathvariant="italic">Labour productivity</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mtext mathvariant="italic">Employee retention rate</mml:mtext>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                        <mml:mo>=</mml:mo>
                                        <mml:mi>f</mml:mi>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mtext mathvariant="italic">Employment costs</mml:mtext>
                                            <mml:mo>,</mml:mo>
                                            <mml:mtext mathvariant="italic">Number of employees</mml:mtext>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                    </list>
                </p>
                <p>Profitability-based performance was measured through a weighted composite of: Gross Profit Margin (F1), Net Profit Margin (F2), and Return on Equity (ROE, F3), following 
                    <xref ref-type="bibr" rid="ref23">Fama and French (1992)</xref>; 
                    <xref ref-type="bibr" rid="ref49">Penman (2013)</xref>; 
                    <xref ref-type="bibr" rid="ref52">Ross et al. (2017)</xref>.
                    <disp-formula id="e5">

                        <mml:math display="block">
                            <mml:mtext mathvariant="italic">PROFIT</mml:mtext>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>1</mml:mn>
                                    </mml:msub>
                                    <mml:msub>
                                        <mml:mi>F</mml:mi>
                                        <mml:mn>1</mml:mn>
                                    </mml:msub>
                                    <mml:mo>+</mml:mo>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>2</mml:mn>
                                    </mml:msub>
                                    <mml:msub>
                                        <mml:mi>F</mml:mi>
                                        <mml:mn>2</mml:mn>
                                    </mml:msub>
                                    <mml:mo>+</mml:mo>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>3</mml:mn>
                                    </mml:msub>
                                    <mml:msub>
                                        <mml:mi>F</mml:mi>
                                        <mml:mn>3</mml:mn>
                                    </mml:msub>
                                </mml:mrow>
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>1</mml:mn>
                                    </mml:msub>
                                    <mml:mo>+</mml:mo>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>2</mml:mn>
                                    </mml:msub>
                                    <mml:mo>+</mml:mo>
                                    <mml:msub>
                                        <mml:mi>&#x03c9;</mml:mi>
                                        <mml:mn>3</mml:mn>
                                    </mml:msub>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>While 

                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi mathvariant="normal">&#x03c9;</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi mathvariant="normal">&#x03c9;</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mtext>Total operating revenue</mml:mtext>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:mtext>Total operating revenue</mml:mtext>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mn>2</mml:mn>
                                    <mml:mo>+</mml:mo>
                                    <mml:mtext>Total equity</mml:mtext>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</inline-formula>

                    <disp-formula id="e6">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>&#x03c9;</mml:mi>
                                <mml:mn>3</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mtext mathvariant="italic">Total equity</mml:mtext>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:mtext mathvariant="italic">Total operating revenue</mml:mtext>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mn>2</mml:mn>
                                    <mml:mo>+</mml:mo>
                                    <mml:mtext mathvariant="italic">Total equity</mml:mtext>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>Stability was evaluated through: Current Ratio (F4), Quick Ratio (F5), and Equity Ratio (F6), guided by 
                    <xref ref-type="bibr" rid="ref1">Altman and Hotchkiss (2010)</xref>; 
                    <xref ref-type="bibr" rid="ref8">Brigham (2016)</xref>; 
                    <xref ref-type="bibr" rid="ref11">Chen (2004)</xref>.
                    <disp-formula id="e7">

                        <mml:math display="block">
                            <mml:mtext mathvariant="italic">STABLTY</mml:mtext>
                            <mml:mo>=</mml:mo>
                            <mml:mroot>
                                <mml:mrow>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>4</mml:mn>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>5</mml:mn>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>6</mml:mn>
                                </mml:mrow>
                                <mml:mn>3</mml:mn>
                            </mml:mroot>
                        </mml:math>
</disp-formula>
                </p>
                <p>Growth was assessed through: Revenue Growth (F7), Profit Growth (F8), and Asset Growth (F9), as proposed by 
                    <xref ref-type="bibr" rid="ref16">Cooper et al. (2008)</xref>; 
                    <xref ref-type="bibr" rid="ref32">Jacobson (1990)</xref>; 
                    <xref ref-type="bibr" rid="ref53">Rust et al. (2000)</xref>.
                    <disp-formula id="e8">

                        <mml:math display="block">
                            <mml:mtext mathvariant="italic">GROWTH</mml:mtext>
                            <mml:mo>=</mml:mo>
                            <mml:mroot>
                                <mml:mrow>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>7</mml:mn>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>8</mml:mn>
                                    <mml:mo>&#x00d7;</mml:mo>
                                    <mml:mi>F</mml:mi>
                                    <mml:mn>9</mml:mn>
                                </mml:mrow>
                                <mml:mn>3</mml:mn>
                            </mml:mroot>
                        </mml:math>
</disp-formula>
                </p>
                <p>Market value-based performance included: Tobin&#x2019;s Q, Market Value, and Stock Return, reflecting external assessments of firm valuation and growth prospects, supported by 
                    <xref ref-type="bibr" rid="ref38">Laureti and Viviani (2011)</xref>; 
                    <xref ref-type="bibr" rid="ref45">Mizik and Jacobson (2003)</xref>.
                    <list list-type="order">
                        <list-item>
                            <label>(1)</label>
                            <p>Market value (MV)
                                <disp-formula id="e9">

                                    <mml:math display="block">
                                        <mml:mtext mathvariant="italic">Market Value</mml:mtext>
                                        <mml:mspace width="0.25em"/>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mi mathvariant="italic">MV</mml:mi>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                        <mml:mo>=</mml:mo>
                                        <mml:mfrac>
                                            <mml:mrow>
                                                <mml:mtext mathvariant="italic">Number of shares outstanding</mml:mtext>
                                                <mml:mo>&#x00d7;</mml:mo>
                                                <mml:mtext mathvariant="italic">Stock price</mml:mtext>
                                                <mml:mo>,</mml:mo>
                                                <mml:mtext mathvariant="italic">the company</mml:mtext>
                                            </mml:mrow>
                                            <mml:mrow>
                                                <mml:mtext mathvariant="italic">Number of shares outstanding</mml:mtext>
                                                <mml:mo>&#x00d7;</mml:mo>
                                                <mml:mtext mathvariant="italic">Stock price</mml:mtext>
                                                <mml:mo>,</mml:mo>
                                                <mml:mtext mathvariant="italic">average of</mml:mtext>
                                                <mml:mspace width="0.25em"/>
                                                <mml:mi mathvariant="italic">all</mml:mi>
                                                <mml:mspace width="0.25em"/>
                                                <mml:mtext mathvariant="italic">companies</mml:mtext>
                                            </mml:mrow>
                                        </mml:mfrac>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>(2)</label>
                            <p>Tobin&#x2019;s Q (TQ)
                                <disp-formula id="e10">

                                    <mml:math display="block">
                                        <mml:msup>
                                            <mml:mtext mathvariant="italic">Tobin</mml:mtext>
                                            <mml:mo>&#x2019;</mml:mo>
                                        </mml:msup>
                                        <mml:mi>s</mml:mi>
                                        <mml:mspace width="0.25em"/>
                                        <mml:mi>Q</mml:mi>
                                        <mml:mspace width="0.25em"/>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mi mathvariant="italic">TQ</mml:mi>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                        <mml:mo>=</mml:mo>
                                        <mml:mfrac>
                                            <mml:mrow>
                                                <mml:mtext mathvariant="italic">Market Value of equity</mml:mtext>
                                                <mml:mo>+</mml:mo>
                                                <mml:mtext mathvariant="italic">Market Value of debt</mml:mtext>
                                            </mml:mrow>
                                            <mml:mtext mathvariant="italic">Total assets</mml:mtext>
                                        </mml:mfrac>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>(3)</label>
                            <p>Stock returns (SR)
                                <disp-formula id="e11">

                                    <mml:math display="block">
                                        <mml:mtext mathvariant="italic">Stock Return</mml:mtext>
                                        <mml:mspace width="0.25em"/>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:mi mathvariant="italic">SR</mml:mi>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                        <mml:mo>=</mml:mo>
                                        <mml:mfrac>
                                            <mml:mrow>
                                                <mml:mo stretchy="true">(</mml:mo>
                                                <mml:msub>
                                                    <mml:mtext mathvariant="italic">Market Value</mml:mtext>
                                                    <mml:mrow>
                                                        <mml:mo stretchy="true">(</mml:mo>
                                                        <mml:mi>t</mml:mi>
                                                        <mml:mo stretchy="true">)</mml:mo>
                                                    </mml:mrow>
                                                </mml:msub>
                                                <mml:mo>+</mml:mo>
                                                <mml:mtext mathvariant="italic">Dividends</mml:mtext>
                                                <mml:mo>&#x2212;</mml:mo>
                                                <mml:msub>
                                                    <mml:mtext mathvariant="italic">Market Value</mml:mtext>
                                                    <mml:mrow>
                                                        <mml:mo stretchy="true">(</mml:mo>
                                                        <mml:mi>t</mml:mi>
                                                        <mml:mo>&#x2212;</mml:mo>
                                                        <mml:mn>1</mml:mn>
                                                        <mml:mo stretchy="true">)</mml:mo>
                                                    </mml:mrow>
                                                </mml:msub>
                                                <mml:mo stretchy="true">)</mml:mo>
                                            </mml:mrow>
                                            <mml:msub>
                                                <mml:mtext mathvariant="italic">Market Value</mml:mtext>
                                                <mml:mrow>
                                                    <mml:mo stretchy="true">(</mml:mo>
                                                    <mml:mi>t</mml:mi>
                                                    <mml:mo>&#x2212;</mml:mo>
                                                    <mml:mn>1</mml:mn>
                                                    <mml:mo stretchy="true">)</mml:mo>
                                                </mml:mrow>
                                            </mml:msub>
                                        </mml:mfrac>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                        <list-item>
                            <label>(4)</label>
                            <p>Aggregated Market Value-based Performance (MVP)

                                <disp-formula id="e12">

                                    <mml:math display="block">
                                        <mml:mi mathvariant="italic">MVP</mml:mi>
                                        <mml:mo>=</mml:mo>
                                        <mml:mfrac>
                                            <mml:mrow>
                                                <mml:mi mathvariant="italic">MV</mml:mi>
                                                <mml:mo>+</mml:mo>
                                                <mml:mi mathvariant="italic">TQ</mml:mi>
                                                <mml:mo>+</mml:mo>
                                                <mml:mi mathvariant="italic">SR</mml:mi>
                                            </mml:mrow>
                                            <mml:mn>3</mml:mn>
                                        </mml:mfrac>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                    </list>
                </p>
            </sec>
            <sec id="sec16">
                <title>3.3 Analytic techniques</title>
                <p>This study employs a three-stage analytical procedure:</p>
                <p>

                    <bold>1. Data Envelopment Analysis (DEA):</bold> Input-oriented CRS-DEA models were used to estimate the efficiency of each functional capability. DEA is suitable for handling multiple input-output configurations without assuming a fixed functional form. The modeling approach follows 
                    <xref ref-type="bibr" rid="ref10">Charnes et al. (1978)</xref>; 
                    <xref ref-type="bibr" rid="ref15">Cook et al. (2014)</xref>. Following 
                    <xref ref-type="bibr" rid="ref35">Khoshnevis and Teirlinck (2018)</xref>, the input oriented DEA-CRS with input-ratio and output-ratio is presented below.
                    <disp-formula id="e13">

                        <mml:math display="block">
                            <mml:mo>min</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">&#x03b8;</mml:mi>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e14">

                        <mml:math display="block">
                            <mml:mtext>subject to</mml:mtext>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e15">

                        <mml:math display="block">
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">ij</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">ij</mml:mi>
                            </mml:msub>
                            <mml:mi>&#x03b8;</mml:mi>
                            <mml:mo>&#x2264;</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">i</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#x2026;</mml:mo>
                            <mml:mo>,</mml:mo>
                            <mml:mi mathvariant="normal">m</mml:mi>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">i</mml:mi>
                            <mml:mo>&#x2260;</mml:mo>
                            <mml:mi mathvariant="normal">p</mml:mi>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e16">

                        <mml:math display="block">
                            <mml:msubsup>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:msubsup>
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mi mathvariant="italic">rj</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2265;</mml:mo>
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mrow>
                                    <mml:mi>r</mml:mi>
                                    <mml:msub>
                                        <mml:mi>j</mml:mi>
                                        <mml:mn>0</mml:mn>
                                    </mml:msub>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">r</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#x2026;</mml:mo>
                            <mml:mo>,</mml:mo>
                            <mml:mi mathvariant="normal">s</mml:mi>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">r</mml:mi>
                            <mml:mo>&#x2260;</mml:mo>
                            <mml:mi mathvariant="normal">k</mml:mi>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e17">

                        <mml:math display="block">
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mover accent="true">
                                    <mml:mi>x</mml:mi>
                                    <mml:mo stretchy="true">&#x00af;</mml:mo>
                                </mml:mover>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                            <mml:mi>&#x03b8;</mml:mi>
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:munder accentunder="false">
                                    <mml:mi>x</mml:mi>
                                    <mml:mo>_</mml:mo>
                                </mml:munder>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2264;</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">i</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mi mathvariant="normal">p</mml:mi>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e18">

                        <mml:math display="block">
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mover accent="false">
                                    <mml:mi>y</mml:mi>
                                    <mml:mo>&#x00af;</mml:mo>
                                </mml:mover>
                                <mml:mi mathvariant="italic">kj</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mrow>
                                    <mml:mi>k</mml:mi>
                                    <mml:msub>
                                        <mml:mi>j</mml:mi>
                                        <mml:mn>0</mml:mn>
                                    </mml:msub>
                                </mml:mrow>
                            </mml:msub>
                            <mml:munderover>
                                <mml:mo>&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>j</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:munder accentunder="false">
                                    <mml:mi>y</mml:mi>
                                    <mml:mo>_</mml:mo>
                                </mml:munder>
                                <mml:mi mathvariant="italic">kj</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2265;</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">r</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mi mathvariant="normal">k</mml:mi>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e19">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                            <mml:mo>&#x2265;</mml:mo>
                            <mml:mn>0</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mspace width="0.25em"/>
                            <mml:mi mathvariant="normal">j</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#x2026;</mml:mo>
                            <mml:mo>,</mml:mo>
                            <mml:mi mathvariant="normal">n</mml:mi>
                        </mml:math>
</disp-formula>
                </p>
                <p>Where 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">ij</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> is the input I for DMUj; 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mi mathvariant="italic">rj</mml:mi>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                        </mml:math>
</inline-formula>is the output I for DMUj, assume that the kth-output (
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mrow>
                                    <mml:mi>k</mml:mi>
                                    <mml:mi mathvariant="normal">j</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo stretchy="true">)</mml:mo>
                        </mml:math>
</inline-formula> is a ratio variable (where 1&#x00a0;&#x2264;&#x00a0;k&#x00a0;&#x2264;&#x00a0;s) and it is obtained from the numerator and the denominator of 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mover accent="false">
                                    <mml:mi>y</mml:mi>
                                    <mml:mo>&#x00af;</mml:mo>
                                </mml:mover>
                                <mml:mi mathvariant="italic">kj</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> and 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:munder accentunder="false">
                                    <mml:mi>y</mml:mi>
                                    <mml:mo>_</mml:mo>
                                </mml:munder>
                                <mml:mi mathvariant="italic">kj</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula>, respectively, i.e. 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>y</mml:mi>
                                <mml:mrow>
                                    <mml:mi>k</mml:mi>
                                    <mml:mi mathvariant="normal">j</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:msub>
                                    <mml:mover accent="false">
                                        <mml:mi>y</mml:mi>
                                        <mml:mo>&#x00af;</mml:mo>
                                    </mml:mover>
                                    <mml:mi mathvariant="italic">kj</mml:mi>
                                </mml:msub>
                                <mml:msub>
                                    <mml:munder accentunder="false">
                                        <mml:mi>y</mml:mi>
                                        <mml:mo>_</mml:mo>
                                    </mml:munder>
                                    <mml:mi mathvariant="italic">kj</mml:mi>
                                </mml:msub>
                            </mml:mfrac>
                            <mml:mspace width="0.25em"/>
                        </mml:math>
</inline-formula>; and 
                    <italic toggle="yes">pth</italic>-input variable (
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                            <mml:mo stretchy="true">)</mml:mo>
                        </mml:math>
</inline-formula> (
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mi>p</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                            <mml:mo>,</mml:mo>
                            <mml:mo>&#x2026;</mml:mo>
                            <mml:mo>,</mml:mo>
                            <mml:mi>m</mml:mi>
                            <mml:mo stretchy="true">)</mml:mo>
                        </mml:math>
</inline-formula> for unit j is calculated from the numerator and the denominator of 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mover accent="true">
                                    <mml:mi>x</mml:mi>
                                    <mml:mo stretchy="true">&#x00af;</mml:mo>
                                </mml:mover>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> and 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:munder accentunder="false">
                                    <mml:mi>x</mml:mi>
                                    <mml:mo>_</mml:mo>
                                </mml:munder>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula>, respectively, i.e. 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mi mathvariant="italic">pj</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:msub>
                                    <mml:mover accent="true">
                                        <mml:mi>x</mml:mi>
                                        <mml:mo stretchy="true">&#x00af;</mml:mo>
                                    </mml:mover>
                                    <mml:mi mathvariant="italic">pj</mml:mi>
                                </mml:msub>
                                <mml:msub>
                                    <mml:munder accentunder="false">
                                        <mml:mi>x</mml:mi>
                                        <mml:mo>_</mml:mo>
                                    </mml:munder>
                                    <mml:mi mathvariant="italic">pj</mml:mi>
                                </mml:msub>
                            </mml:mfrac>
                        </mml:math>
</inline-formula>; 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mi>j</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> is the weight for the reference DMUs; and &#x03b8; represents the efficiency of DMU (firm) under the CRS assumption (efficiency score between 0 and 1, where 1 is efficient).</p>
                <p>

                    <bold>2. Ordinary Least Squares Multiple Regression (OLSMR):</bold> DEA efficiency scores were entered as independent variables to test their linear effects on internal and external performance metrics. This approach allows hypothesis testing and comparison of coefficients across industry sectors, drawing on 
                    <xref ref-type="bibr" rid="ref46">Morgan and Rego (2009)</xref>; 
                    <xref ref-type="bibr" rid="ref48">Nath et al. (2010)</xref>. Given that OLSMR may suffer from the restrictions of linearity, normality, and homoscedasticity of data, its prediction accuracy may be inferior to BPNN in explaining strategic importance of functional capabilities on business performance (
                    <xref ref-type="bibr" rid="ref73">Kwon &amp; Lee, 2015</xref>).
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                <p>

                    <bold>3. Backpropagation Neural Network (BPNN):</bold> To better understand strategic asymmetries in capability deployment, this study conducted a Backpropagation Neural Network (BPNN) to capture nonlinear relationships and conduct the hypothesis testing, as well as enhance prediction accuracy, a three-layer feedforward neural network was implemented. The BPNN used sigmoid activation and adaptive learning rates, based on 
                    <xref ref-type="bibr" rid="ref25">Fausett (1994)</xref>; 
                    <xref ref-type="bibr" rid="ref71">Zhang et al. (1998)</xref>. This method captures hidden interactions among capabilities that OLSMR cannot detect. The schematic diagram of a simple BPNN model is shown in 
                    <xref ref-type="fig" rid="f2">
Figure 2</xref>. As shown, BPNN learning occurs through an interactive process including input presentation, information forward feeding, error calculation, and backward propagation of error for sequential weight adjustments. Once input neurons receive incoming signals, hidden neurons will calculate weight net output and active output to neurons in the output layer. Upon receipt of hidden output, output neuron k will calculate the actual output (
                    <inline-formula>

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                            <mml:mo stretchy="true">)</mml:mo>
                        </mml:math>
</inline-formula> and total errors (
                    <italic toggle="yes">E</italic>) between target (
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>T</mml:mi>
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                            <mml:mo stretchy="true">)</mml:mo>
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</inline-formula> and actual outputs for all pairs of training input and output, using the following formula:
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                                    <mml:mtext mathvariant="italic">netj</mml:mtext>
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                            <mml:mo>=</mml:mo>
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                                <mml:msub>
                                    <mml:mi>V</mml:mi>
                                    <mml:mi mathvariant="italic">ij</mml:mi>
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                        <mml:math display="block">
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                            <mml:mo>=</mml:mo>
                            <mml:mi>f</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>Y</mml:mi>
                                    <mml:mrow>
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                            <mml:mo>=</mml:mo>
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                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mo>&#x2211;</mml:mo>
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                                    <mml:mi>X</mml:mi>
                                    <mml:mi>j</mml:mi>
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                                <mml:msub>
                                    <mml:mi>W</mml:mi>
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                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>
</disp-formula>where 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>H</mml:mi>
                                <mml:mi>j</mml:mi>
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</inline-formula> is in the inputs from hidden neuron 
                    <italic toggle="yes">j</italic>
                </p>
                <fig fig-type="figure" id="f2" orientation="portrait" position="float">
                    <label>
Figure 2. </label>
                    <caption>
                        <title>Schematic diagram of BPNN model.</title>
                        <p>

                            <italic toggle="yes">Note:</italic> Inputs &#x2013; MKTEFF, PROEFF, HRMEFF, RDEFF, PROFIT, STABLTY, GROWTH; Outputs &#x2013; MV, TQ, SR, MVP.</p>
                    </caption>
                    <graphic id="gr2" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/197035/b39c0317-cf17-4c6f-b8ac-b96e1c2c0f06_figure2.gif"/>
                </fig>
                <p>

                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>V</mml:mi>
                                <mml:mi mathvariant="italic">ij</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> and 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>W</mml:mi>
                                <mml:mi mathvariant="italic">jk</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> denote weights of hidden neuron 
                    <italic toggle="yes">j</italic> connecting input (
                    <italic toggle="yes">i</italic>) and output (
                    <italic toggle="yes">k</italic>) neurons</p>
                <p>A nonlinear transfer function, 
                    <italic toggle="yes">f(.)</italic>, is applied before activating net outputs of neurons in hidden and output layers, with the following logistic function.
                    <disp-formula id="e25">

                        <mml:math display="block">
                            <mml:mi>f</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
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                                <mml:mo stretchy="true">)</mml:mo>
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                            <mml:mo>=</mml:mo>
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                                <mml:mrow>
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                                    <mml:mo>+</mml:mo>
                                    <mml:msup>
                                        <mml:mi>e</mml:mi>
                                        <mml:mi>x</mml:mi>
                                    </mml:msup>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>Finally, the backward error propagation is used to ensure for weight adjustment to minimize the Euclidean distance (or errors), 

                    <italic toggle="yes">E</italic>,

                    <disp-formula id="e26">

                        <mml:math display="block">
                            <mml:mi>E</mml:mi>
                            <mml:mo>=</mml:mo>
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                            <mml:mspace width="0.25em"/>
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                                <mml:mi>k</mml:mi>
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                            <mml:msup>
                                <mml:mrow>
                                    <mml:mo stretchy="true">&#x2016;</mml:mo>
                                    <mml:msub>
                                        <mml:mi>T</mml:mi>
                                        <mml:mi>k</mml:mi>
                                    </mml:msub>
                                    <mml:mo>&#x2212;</mml:mo>
                                    <mml:msub>
                                        <mml:mi>Y</mml:mi>
                                        <mml:mi>k</mml:mi>
                                    </mml:msub>
                                    <mml:mo stretchy="true">&#x2016;</mml:mo>
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                                <mml:mn>2</mml:mn>
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</disp-formula>
                </p>
                <p>To examine strategic asymmetries, firms were segmented into high- and low-performance tiers based on the difference between actual and BPNN-predicted values of aggregated market value-based performance (MVP). Firms outperforming model expectations were classified as high performers, while those underperforming were categorized as low performers. This segmentation follows the comparative prediction-based approach used by 
                    <xref ref-type="bibr" rid="ref4">Baesens et al. (2003)</xref>; 
                    <xref ref-type="bibr" rid="ref40">Lee et al. (2019)</xref>.</p>
                <p>To evaluate the relative efficiency of each firm, an efficiency score (ES) is computed using the following ratio:
                    <disp-formula id="e27">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>ES</mml:mi>
                                <mml:mi>J</mml:mi>
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                            <mml:mo>=</mml:mo>
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                                <mml:mo stretchy="true">(</mml:mo>
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                                        <mml:mi>y</mml:mi>
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                                            <mml:mi>a</mml:mi>
                                            <mml:mi>J</mml:mi>
                                        </mml:msub>
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                                    <mml:msub>
                                        <mml:mi>y</mml:mi>
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                                <mml:mo stretchy="true">)</mml:mo>
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                            <mml:mo>/</mml:mo>
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                                <mml:mo mathvariant="italic">Max</mml:mo>
                                <mml:mi>i</mml:mi>
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                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mfrac>
                                    <mml:msub>
                                        <mml:mi>y</mml:mi>
                                        <mml:msub>
                                            <mml:mi>a</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                    </mml:msub>
                                    <mml:msub>
                                        <mml:mi>y</mml:mi>
                                        <mml:mrow>
                                            <mml:mi>n</mml:mi>
                                            <mml:msub>
                                                <mml:mi>n</mml:mi>
                                                <mml:mi>i</mml:mi>
                                            </mml:msub>
                                        </mml:mrow>
                                    </mml:msub>
                                </mml:mfrac>
                                <mml:mo stretchy="true">)</mml:mo>
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</disp-formula>
                </p>
                <p>This score reflects how well a firm outperforms or underperforms relative to the BPNN&#x2019;s prediction. Firms with ES&#x00a0;=&#x00a0;1 are considered top performers, while others are scored accordingly. This nonparametric scoring system allows for a continuous ranking of firm performance, providing deeper insights beyond binary classification.</p>
            </sec>
        </sec>
        <sec id="sec17" sec-type="results|discussion">
            <title>4. Results and discussion</title>
            <sec id="sec18">
                <title>4.1 Descriptive statistics and correlations</title>
                <p>
                    <xref ref-type="table" rid="T2">
Table 2</xref> presents the descriptive statistics and correlation matrix for the study variables. Among the four functional capabilities, firms demonstrated relatively higher efficiency in marketing (M&#x00a0;=&#x00a0;0.234) and operations (M&#x00a0;=&#x00a0;0.242), suggesting stronger emphasis on customer-facing and process optimization functions. In contrast, R&amp;D (M&#x00a0;=&#x00a0;0.139) and HR efficiency (M&#x00a0;=&#x00a0;0.141) remain underdeveloped, indicating potential weaknesses in innovation and human capital deployment (
                    <xref ref-type="bibr" rid="ref60">Teece, 2007</xref>; 
                    <xref ref-type="bibr" rid="ref68">Wright et al., 2001</xref>).</p>
                <table-wrap id="T2" orientation="portrait" position="float">
                    <label>
Table 2. </label>
                    <caption>
                        <title>Mean, standard deviations and correlations.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variables</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Mean</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Standard deviation</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(1)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(2)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(3)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(4)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(5)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(6)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(7)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(8)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">(9)</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>MKTEFF (1)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.234</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.296</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>PROEFF (2)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.242</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.195</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.108
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>RDEFF (3)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.139</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.247</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.233
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.446
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>HRMEFF (4)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.141</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.212</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.043</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.345
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.475
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>PROFIT (5)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.090</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.181</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.050</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.049</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.019</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.073
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>STABLTY (6)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.613</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.488</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.099
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.103
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.034</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.113
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.065
                                    <xref ref-type="table-fn" rid="tfn1">
                                        <sup>*</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>GROWTH (7)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.022</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.291</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.098
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.119
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.082
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.098
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.122
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.142
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>MV (8)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">9.853</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.079
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.037</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.124
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.100
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.058
                                    <xref ref-type="table-fn" rid="tfn1">
                                        <sup>*</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.020</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.020</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>TQ (9)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.622</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2.037</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.023</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.092
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.036</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.017</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.120
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.175
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.057
                                    <xref ref-type="table-fn" rid="tfn1">
                                        <sup>*</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.029</td>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>SR (10)</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.167</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.414</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.039</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.010</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.006</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.031</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.199
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;.066
                                    <xref ref-type="table-fn" rid="tfn1">
                                        <sup>*</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.294
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">&#x2212;0.007</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.155
                                    <xref ref-type="table-fn" rid="tfn2">
                                        <sup>**</sup>
                                    </xref>
                                </td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>

                            <italic toggle="yes">Note:</italic> MKTEFF&#x00a0;=&#x00a0;marketing capability efficiency; PROEFF&#x00a0;=&#x00a0;operations capability efficiency; RDEFF&#x00a0;=&#x00a0;research and development capability efficiency; HRMEFF&#x00a0;=&#x00a0;human resource capability efficiency; PROFIT&#x00a0;=&#x00a0;profitability-based performance; STABLTY&#x00a0;=&#x00a0;financial stability; GROWTH&#x00a0;=&#x00a0;revenue and asset growth; MV&#x00a0;=&#x00a0;market value; TQ&#x00a0;=&#x00a0;Tobin&#x2019;s Q; SR&#x00a0;=&#x00a0;stock return. All correlations are based on two-tailed tests.</p>
                        <fn-group content-type="footnotes">
                            <fn id="tfn1">
                                <label>*</label>
                                <p>p&#x00a0;&lt;&#x00a0;0.05;</p>
                            </fn>
                            <fn id="tfn2">
                                <label>**</label>
                                <p>p&#x00a0;&lt;&#x00a0;0.01;</p>
                            </fn>
                            <fn id="tfn3">
                                <label>***</label>
                                <p>p&#x00a0;&lt;&#x00a0;0.001.</p>
                            </fn>
                        </fn-group>
                    </table-wrap-foot>
                </table-wrap>
                <p>Performance indicators also varied. Profitability (M&#x00a0;=&#x00a0;0.090, SD&#x00a0;=&#x00a0;0.181) showed notable dispersion, while stability (M&#x00a0;=&#x00a0;1.613, SD&#x00a0;=&#x00a0;1.488) had the highest average value among internal outcomes but with considerable variability. Growth (M&#x00a0;=&#x00a0;1.022, SD&#x00a0;=&#x00a0;0.291) was more consistent across firms. Market-based indicators exhibited high variance&#x2014;especially market value (SD&#x00a0;=&#x00a0;9.853) and Tobin&#x2019;s Q (SD&#x00a0;=&#x00a0;2.037)&#x2014;reflecting disparities in investor perception and intangible assets (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>; 
                    <xref ref-type="bibr" rid="ref41">Lev &amp; Radhakrishnan, 2003</xref>).</p>
                <p>The correlation analysis reveals several statistically significant associations. Operational efficiency was positively correlated with growth (r&#x00a0;=&#x00a0;0.119, p&#x00a0;&lt;&#x00a0;0.01), indicating that process capability supports internal expansion (
                    <xref ref-type="bibr" rid="ref18">Dr&#x00f6;ge et al., 1994</xref>). R&amp;D efficiency correlated with both growth (r&#x00a0;=&#x00a0;0.082, p&#x00a0;&lt;&#x00a0;0.01) and market value (r&#x00a0;=&#x00a0;0.124, p&#x00a0;&lt;&#x00a0;0.01), underscoring its dual role in scaling and external valuation. HR efficiency showed strong positive correlations with R&amp;D (r&#x00a0;=&#x00a0;0.475, p&#x00a0;&lt;&#x00a0;0.01) and operations (r&#x00a0;=&#x00a0;0.345, p&#x00a0;&lt;&#x00a0;0.01), as well as moderate positive associations with growth (r&#x00a0;=&#x00a0;0.098, p&#x00a0;&lt;&#x00a0;0.01) and stability (r&#x00a0;=&#x00a0;0.113, p&#x00a0;&lt;&#x00a0;0.01). However, it exhibited a small but significant negative correlation with profitability (r&#x00a0;=&#x00a0;&#x2212;0.073, p&#x00a0;&lt;&#x00a0;0.01), possibly due to delayed financial returns from HR investments (
                    <xref ref-type="bibr" rid="ref31">Huselid, 1995</xref>).</p>
                <p>From a market-based perspective, Tobin&#x2019;s Q correlated positively with profitability (r&#x00a0;=&#x00a0;0.120, p&#x00a0;&lt;&#x00a0;0.01), stability (r&#x00a0;=&#x00a0;0.175, p&#x00a0;&lt;&#x00a0;0.01), and stock return (r&#x00a0;=&#x00a0;0.155, p&#x00a0;&lt;&#x00a0;0.01), suggesting that internal performance is favorably interpreted by investors (
                    <xref ref-type="bibr" rid="ref57">Spence, 1974</xref>). Stock return was most strongly correlated with growth (r&#x00a0;=&#x00a0;0.294, p&#x00a0;&lt;&#x00a0;0.01), followed by profitability (r&#x00a0;=&#x00a0;0.199, p&#x00a0;&lt;&#x00a0;0.01) and Tobin&#x2019;s Q, indicating that consistent internal performance supports investor confidence. Market value was also positively associated with R&amp;D (r&#x00a0;=&#x00a0;0.124, p&#x00a0;&lt;&#x00a0;0.01) and HR efficiency (r&#x00a0;=&#x00a0;0.100, p&#x00a0;&lt;&#x00a0;0.01), highlighting the valuation relevance of intangible capabilities.</p>
            </sec>
            <sec id="sec19">
                <title>4.2 Comparisons of predictive performance between OLSMR and BPNN models</title>
                <p>
                    <xref ref-type="fig" rid="f3">
Figure 3</xref> compare the predictive performance of OLSMR and BPNN models across three performance indicators&#x2014;Market Value, Tobin&#x2019;s Q, and Stock Return&#x2014;in the high-tech, manufacturing, and service sectors. Pearson&#x2019;s correlation coefficient (R) and normalized Root Mean Square Error (RMSE) are used to assess each model&#x2019;s predictive strength and accuracy (
                    <xref ref-type="bibr" rid="ref9">Chai &amp; Draxler, 2014</xref>; 
                    <xref ref-type="bibr" rid="ref13">Cohen et al., 2009</xref>).</p>
                <fig fig-type="figure" id="f3" orientation="portrait" position="float">
                    <label>
Figure 3. </label>
                    <caption>
                        <title>Predictive performance of OLSMR and BPNN models.</title>
                        <p>

                            <italic toggle="yes">Note:</italic> HT &#x2013; High Tech; MF &#x2013; Manufacturing; SV &#x2013; Services.</p>
                    </caption>
                    <graphic id="gr3" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/197035/b39c0317-cf17-4c6f-b8ac-b96e1c2c0f06_figure3.gif"/>
                </fig>
                <p>To calculate predictive accuracy, each model&#x2019;s predicted value 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mover accent="true">
                                    <mml:mi>y</mml:mi>
                                    <mml:mo stretchy="true">&#x0302;</mml:mo>
                                </mml:mover>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>
</inline-formula> is compared with the actual value (y) for each firm. RMSE is first computed by following formula and then derived by dividing the RMSE of each model by the maximum RMSE among the models under comparison:
                    <disp-formula id="e28">

                        <mml:math display="block">
                            <mml:mtext>RMSE</mml:mtext>
                            <mml:mo>=</mml:mo>
                            <mml:msqrt>
                                <mml:mrow>
                                    <mml:mfrac>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi mathvariant="normal">n</mml:mi>
                                    </mml:mfrac>
                                    <mml:munderover>
                                        <mml:mo>&#x2211;</mml:mo>
                                        <mml:mrow>
                                            <mml:mi mathvariant="normal">i</mml:mi>
                                            <mml:mo>=</mml:mo>
                                            <mml:mn>1</mml:mn>
                                        </mml:mrow>
                                        <mml:mi mathvariant="normal">n</mml:mi>
                                    </mml:munderover>
                                    <mml:msup>
                                        <mml:mrow>
                                            <mml:mo stretchy="true">(</mml:mo>
                                            <mml:msub>
                                                <mml:mi mathvariant="normal">y</mml:mi>
                                                <mml:mi mathvariant="normal">i</mml:mi>
                                            </mml:msub>
                                            <mml:mo>&#x2212;</mml:mo>
                                            <mml:msub>
                                                <mml:mover accent="true">
                                                    <mml:mi mathvariant="normal">y</mml:mi>
                                                    <mml:mo stretchy="true">&#x0302;</mml:mo>
                                                </mml:mover>
                                                <mml:mi mathvariant="normal">i</mml:mi>
                                            </mml:msub>
                                            <mml:mo stretchy="true">)</mml:mo>
                                        </mml:mrow>
                                        <mml:mn>2</mml:mn>
                                    </mml:msup>
                                </mml:mrow>
                            </mml:msqrt>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e29">

                        <mml:math display="block">
                            <mml:mtext mathvariant="italic">nRMSE</mml:mtext>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:msub>
                                    <mml:mtext mathvariant="italic">RMSE</mml:mtext>
                                    <mml:mtext mathvariant="italic">model</mml:mtext>
                                </mml:msub>
                                <mml:mrow>
                                    <mml:mo>max</mml:mo>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mtext mathvariant="italic">RMSE</mml:mtext>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>This approach ensures a consistent scale across models and performance tiers. A lower nRMSE indicates higher predictive precision, while a higher Pearson&#x2019;s R suggests stronger alignment between predicted and actual values. Together, these metrics allow for nuanced comparison of linear (OLSMR) and nonlinear (BPNN) model performance across different firm sectors.</p>
                <p>As shown in 
                    <xref ref-type="fig" rid="f3">
Figure 3</xref>, across all three performance indicators&#x2014;Market Value, Tobin&#x2019;s Q, and Stock Return&#x2014;the BPNN demonstrates superior predictive performance compared to OLSMR. BPNN consistently achieves higher correlations and lower normalized errors across the high-tech, manufacturing, and service sectors. The advantage of BPNN is most pronounced in Market Value, where near-perfect correlations are observed for all three industries, underscoring its strength in modeling complex valuation dynamics. Tobin&#x2019;s Q also shows clear improvement under BPNN, particularly in the high-tech sector, reflecting the model&#x2019;s ability to capture nonlinear signaling effects that influence forward-looking investor expectations. For Stock Return, while both models exhibit greater variability due to the volatility of external market factors, BPNN still outperforms OLSMR, albeit with a narrower margin. These results confirm that BPNN&#x2019;s ability to approximate nonlinear and multidimensional relationships allows it to capture synergies and thresholds in firm capabilities more effectively than regression-based approaches. Therefore, this study adopts the results of BPNN for hypotheses testing.</p>
            </sec>
            <sec id="sec20">
                <title>4.3 Hypothesis testing</title>
                <p>
                    <xref ref-type="fig" rid="f4">
Figure 4</xref> and 
                    <xref ref-type="table" rid="T3">
Table 3</xref> illustrate the differential importance of strategic variables in explaining market value-based performance, derived from the BPNN. The results show that profitability is the most consistent predictor across industries, though its relative weight differs between high- and low-performing firms. High-tech companies rely most heavily on R&amp;D and HR capabilities, reflecting the sector&#x2019;s dependence on rapid innovation and skilled human capital. Manufacturing firms emphasize operations efficiency, which underpins cost leadership and productivity. Service firms highlight marketing and growth, emphasizing customer engagement and expansion.</p>
                <fig fig-type="figure" id="f4" orientation="portrait" position="float">
                    <label>
Figure 4. </label>
                    <caption>
                        <title>Differential importance of strategic capabilities in explaining market value-based performance.</title>
                        <p>

                            <italic toggle="yes">Note:</italic> Bar values represent BPNN-derived relative importance weights, reflecting each capability&#x2019;s proportional contribution to the prediction of market value-based performance (MVP) within each industry group and performance tier. MKTEFF&#x00a0;=&#x00a0;marketing capability efficiency; PROEFF&#x00a0;=&#x00a0;operations capability efficiency; RDEFF&#x00a0;=&#x00a0;research and development capability efficiency; HRMEFF&#x00a0;=&#x00a0;human resource capability efficiency; PROFIT&#x00a0;=&#x00a0;profitability-based performance; STABLTY&#x00a0;=&#x00a0;financial stability; GROWTH&#x00a0;=&#x00a0;revenue and asset growth. HT&#x00a0;=&#x00a0;High-Technology; MF&#x00a0;=&#x00a0;Manufacturing; SV&#x00a0;=&#x00a0;Services.</p>
                    </caption>
                    <graphic id="gr4" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/197035/b39c0317-cf17-4c6f-b8ac-b96e1c2c0f06_figure4.gif"/>
                </fig>
                <table-wrap id="T3" orientation="portrait" position="float">
                    <label>
Table 3. </label>
                    <caption>
                        <title>Differential importance of strategic variables for Market Value-based Performance (MVP).</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="2" valign="top">Functional Capabilities</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">High Tech</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">Manufacturing</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">Service</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">All Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">High Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Low Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">All Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">High Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Low Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">All Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">High Performers</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Low Performers</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>MKTEFF</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.085</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.084</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.024</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.031</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.033</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.037</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.219</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.155</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.225</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>PROEFF</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.089</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.156</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.102</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.175</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.199</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.175</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.066</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.080</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.087</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>RDEFF</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.106</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.149</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.053</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.067</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.079</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.118</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.197</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.262</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.156</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>HRMEFF</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.200</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.290</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.099</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.133</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.169</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.062</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.026</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.039</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.055</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>PROFIT</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.255</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.169</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.446</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.242</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.149</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.329</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.090</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.115</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.073</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>STABLTY</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.127</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.059</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.142</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.105</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.106</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.076</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.031</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.033</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.046</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>GROWTH</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.139</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.094</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.134</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.247</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.265</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.203</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.371</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.316</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.357</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>

                            <italic toggle="yes">Note:</italic> Values represent the relative importance weights derived from the BPNN, reflecting each variable&#x2019;s proportional contribution to the prediction of aggregated market value-based performance (MVP). MKTEFF&#x00a0;=&#x00a0;marketing capability efficiency; PROEFF&#x00a0;=&#x00a0;operations capability efficiency; RDEFF&#x00a0;=&#x00a0;research and development capability efficiency; HRMEFF&#x00a0;=&#x00a0;human resource capability efficiency; PROFIT&#x00a0;=&#x00a0;profitability-based performance; STABLTY&#x00a0;=&#x00a0;financial stability; GROWTH&#x00a0;=&#x00a0;revenue and asset growth. High Performers&#x00a0;=&#x00a0;firms whose actual MVP exceeds BPNN-predicted MVP; Low Performers&#x00a0;=&#x00a0;firms whose actual MVP falls below BPNN-predicted MVP.</p>
                    </table-wrap-foot>
                </table-wrap>
                <p>Hypothesis H1a posits that marketing capability significantly affects profitability-based performance. The BPNN results indicate weak importance weights for marketing in high-tech and manufacturing, suggesting little influence on profitability. This indicates that marketing alone does not generate superior internal outcomes in industries where product innovation or cost efficiency dominate. Accordingly, H1a is not supported. Hypothesis H1b proposes that marketing capability significantly influences market value-based performance. In services, marketing shows substantial importance (0.219 overall; 0.155 for high performers), confirming its role as a signal of brand strength, reputation, and customer relationships. This finding supports Signaling Theory and confirms H1b in the service sector, though not in high-tech or manufacturing.</p>
                <p>Hypothesis H2a suggests that operations capability contributes positively to profitability-based performance. The BPNN results confirm this primarily in manufacturing, where operations carry the highest importance (0.175 overall; 0.199 for high performers). This reflects the centrality of efficiency, process control, and scalability in driving profitability in resource-intensive sectors, consistent with Transaction Cost Economics. By contrast, operations capability is less important in high-tech and services, where adaptability and customer interface dominate. Thus, H2a is supported only in manufacturing. Hypothesis H2b proposes that operations capability significantly affects market value-based performance. Again, the results provide support in manufacturing, where investors reward signals of operational strength. However, in high-tech and service sectors, operational efficiency is overshadowed by innovation or marketing, so H2b is supported only in manufacturing.</p>
                <p>Hypothesis H3a argues that R&amp;D capability positively affects profitability-based performance. The BPNN results confirm this in high-tech and manufacturing, where innovation enables differentiation, growth, and competitive edge. In services, however, R&amp;D importance is limited, reflecting that service innovation often arises from frontline interaction and design rather than formal R&amp;D structures. Thus, H3a is supported in high-tech and manufacturing, but not in services. Hypothesis H3b posits that R&amp;D capability contributes to market value-based performance. The results show strong support in high-tech and service firms, where innovation is highly valued by investors, and partial support in manufacturing, where R&amp;D plays a secondary role to operations. Therefore, H3b is strongly supported in high-tech and services and partially supported in manufacturing.</p>
                <p>Hypothesis H4a suggests that HR capability has a significant impact on profitability-based performance. The BPNN results show that HR capability is highly important in high-tech firms (0.200 overall; 0.290 for high performers), confirming its role in fostering adaptability and knowledge integration. In manufacturing, HR carries moderate weight, while in services, its importance is limited. These findings indicate that HR capability enhances profitability in knowledge-intensive contexts, but is less critical in operational or customer-driven environments. Thus, H4a is supported in high-tech, partially in manufacturing, but not in services. Hypothesis H4b predicts that HR capability significantly influences market value-based performance. The results confirm this in high-tech industries, where visible investments in human capital signal long-term innovation potential, consistent with Signaling Theory. However, the effects are weaker or absent in manufacturing and services, meaning H4b is supported only in high-tech.</p>
                <p>Hypothesis H5 proposes that profitability mediates the relationship between functional capabilities and market value-based performance. The BPNN results strongly confirm this mechanism. Profitability consistently registers as a key predictor across industries (0.255 in high-tech, 0.242 in manufacturing), but with important differences between high and low performers. High-performing firms rely less on profitability alone, balancing it with R&amp;D, HR, or marketing, while low-performing firms depend heavily on profitability (0.446 in high-tech, 0.329 in manufacturing), reflecting short-term orientation. These findings affirm the mediating role of profitability, consistent with the Resource&#x2013;Capability&#x2013;Performance framework and ST. Thus, H5 is supported across industries, though with different strengths.</p>
                <p>Hypothesis H6 posits that the relative impact of capabilities differs between high- and low-performing firms. The segmentation analysis provides strong support. In high-tech, high performers emphasize R&amp;D and HR, while low performers focus excessively on profitability. In manufacturing, high performers rely on operations and growth, while low performers overemphasize financial stability. In services, high performers stress growth and marketing, while low performers give less importance to HR and stability. These findings show that high performers achieve superior alignment between capabilities and industry logic, while low performers exhibit misalignment and inefficiency. This supports H6 and reinforces RBV, DCT, and ST by demonstrating that strategic capability alignment differentiates winners from laggards.</p>
                <p>In summary, the BPNN results reveal clear industry- and tier-specific patterns of capability importance. High-tech firms achieve superior outcomes by leveraging R&amp;D and HR capabilities, signaling innovation and adaptability to both markets and investors. Manufacturing firms depend primarily on operations efficiency and growth, confirming that productivity and scale remain their defining sources of advantage. Service firms rely on marketing and growth, highlighting the critical role of customer engagement and expansion in intangible, experience-driven markets. Across tiers, high performers consistently exhibit a more balanced and strategically coherent use of capabilities, while low performers overemphasize profitability, indicating short-term orientation and misalignment. These results underscore that competitive advantage arises not from the possession of resources alone but from their effective alignment with industry context and performance objectives.</p>
                <p>
                    <xref ref-type="fig" rid="f5">
Figure 5</xref> illustrates the BPNN-derived efficiency scores for all Decision-Making Units (DMUs), demonstrating how effectively each firm transforms its internal capabilities into market value&#x2013;based performance as predicted by the neural network model. A score of 1.0 represents the efficiency frontier, indicating that a firm fully meets or exceeds its predicted potential. Firms with lower scores are underperforming relative to what their capability configurations suggest they could achieve. This gap implies inefficiencies in capability deployment, misalignment with market expectations, or strategic execution shortfalls.</p>
                <p>The dispersion of efficiency scores across high-tech, manufacturing, and service sectors highlights sector-specific variations in capability transformation. Some firms, even with similar resource inputs, fall short in converting those resources into valued market outcomes&#x2014;underscoring that possession of capabilities is not enough; what matters is how well these capabilities are aligned, integrated, and leveraged. High-performing firms on the efficiency frontier can serve as benchmarks, offering valuable insights into best practices in capability deployment. Conversely, low-scoring firms reflect areas where resource investment has not translated into expected performance, reinforcing the importance of strategic fitness and execution quality. This figure operationalizes the hybrid DEA&#x2013;BPNN framework&#x2019;s aim to link internal capability use with external market recognition, consistent with the logic of RBV, DCT, and ST.</p>
                <fig fig-type="figure" id="f5" orientation="portrait" position="float">
                    <label>
Figure 5. </label>
                    <caption>
                        <title>BPNN-derived efficiency scores of decision-making units across industries.</title>
                        <p>

                            <italic toggle="yes">Note.</italic> Each data point represents one firm (Decision-Making Unit, DMU). The efficiency score (ES) is calculated as the ratio of actual to BPNN-predicted aggregated market value-based performance (MVP). Firms with ES&#x00a0;=&#x00a0;1.0 lie on the efficiency frontier and are classified as top performers. Scores below 1.0 reflect underperformance relative to BPNN-predicted potential.</p>
                    </caption>
                    <graphic id="gr5" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/197035/b39c0317-cf17-4c6f-b8ac-b96e1c2c0f06_figure5.gif"/>
                </fig>
            </sec>
        </sec>
        <sec id="sec21">
            <title>5. Conclusions and implications</title>
            <sec id="sec22">
                <title>5.1 Conclusion</title>
                <p>The primary purpose of this study was to develop and empirically validate a hybrid analytical framework that integrates Data Envelopment Analysis and Backpropagation Neural Networks to assess how internal functional capabilities&#x2014;specifically marketing, operations, R&amp;D, and human resources&#x2014;affect firm performance across Taiwan&#x2019;s high-tech, manufacturing, and service industries. By drawing on the Resource-Based View, Dynamic Capability Theory, and Signaling Theory, the study aimed to examine not only the direct effects of these capabilities on profitability-based and market value-based outcomes, but also their efficiency, alignment, and sector-specific relevance.</p>
                <p>Hypothesis H1 examined the role of marketing capability in influencing firm performance. The results confirmed that marketing capability significantly enhances both profitability-based and market value-based performance, particularly in service firms. These findings support the RBV (
                    <xref ref-type="bibr" rid="ref5">Barney, 1991</xref>), which considers marketing assets as strategic resources, and align with ST (
                    <xref ref-type="bibr" rid="ref57">Spence, 1974</xref>), as such capabilities convey value and credibility to the market.</p>
                <p>Hypothesis H2 assessed the impact of operations capability. The analysis demonstrated that operational efficiency&#x2014;such as process optimization and supply chain coordination&#x2014;significantly improves profitability, particularly in manufacturing firms. However, its influence on market value was more limited, suggesting that operational effectiveness may be less observable to external investors. These results are consistent with RBV and Dynamic Capabilities Theory (
                    <xref ref-type="bibr" rid="ref62">Teece et al., 1997</xref>), highlighting the importance of internal agility and cost leadership.</p>
                <p>Hypothesis H3 focused on R&amp;D capability and found it to be a strong driver of both profitability and market value, especially in high-tech industries. Firms with advanced innovation competencies benefit from product differentiation and future growth potential, which not only enhance internal performance but also signal technological leadership to investors. This is in line with DCT&#x2019;s emphasis on adaptive innovation and the strategic role of knowledge-based assets (
                    <xref ref-type="bibr" rid="ref27">Griliches, 1998</xref>; 
                    <xref ref-type="bibr" rid="ref29">Hall &amp; Bagchi-Sen, 2002</xref>).</p>
                <p>Hypothesis H4 evaluated financial capability and its relation to firm performance. The findings revealed that firms with strong liquidity, solvency, and capital structure are better positioned to sustain profitability and gain investor trust. Financial strength signals operational stability and reduces perceived investment risk, thus enhancing market valuation. These outcomes echo both ST and the Resource&#x2013;Capability&#x2013;Performance framework (
                    <xref ref-type="bibr" rid="ref66">Wang et al., 2015</xref>), reinforcing the role of financial soundness in firm competitiveness.</p>
                <p>Hypothesis H5 extended the analysis to assess differences in strategic emphasis across industries. In high-tech sectors, R&amp;D capability plays a dominant role in driving both financial and market-based performance. The combination of innovation and marketing enables firms to commercialize technology while signaling long-term value. In contrast, manufacturing firms rely heavily on operational excellence to achieve cost leadership, though such improvements are not always recognized by capital markets. These findings reflect industry-specific capability-performance alignments grounded in DCT and RBV.</p>
                <p>Hypothesis H6 emphasized the role of capability integration and efficiency. The DEA&#x2013;BPNN hybrid framework revealed that effective transformation of resources into results depends not only on the presence of capabilities but also on their alignment, balance, and efficiency. Overinvestment without operational efficiency led to lower outcomes, suggesting that strategic misalignment weakens performance. This highlights the importance of cross-functional capability integration and performance benchmarking, consistent with the principles of the Resource&#x2013;Capability&#x2013;Performance model and recent strategic management literature.</p>
            </sec>
            <sec id="sec23">
                <title>5.2 Academic contributions</title>
                <p>This study offers several significant contributions to the literature on strategic management, firm performance, and resource-based theory, particularly in the context of East Asian economies such as Taiwan. First, the study contributes to the RBV and DCT by offering empirical validation of how different functional capabilities&#x2014;marketing, operations, R&amp;D, and human resources&#x2014;individually and collectively drive firm performance. While prior literature has often examined these capabilities in isolation (
                    <xref ref-type="bibr" rid="ref48">Nath et al., 2010</xref>; 
                    <xref ref-type="bibr" rid="ref59">Swink et al., 2007</xref>), this study provides a comprehensive and comparative assessment across multiple industries, revealing how sectorial context influences the strategic value of specific capabilities. This sector-specific differentiation deepens the understanding of capability-performance relationships in varied strategic environments, addressing the call for more industry-contingent research in capability studies (
                    <xref ref-type="bibr" rid="ref61">Teece et al., 2016</xref>).</p>
                <p>Second, the study advances the conceptual integration between internal efficiency and external valuation by confirming the mediating role of profitability-based performance in the relationship between functional capabilities and market value-based outcomes. This finding responds to gaps identified in prior research, where the link between operational drivers and investor perceptions has often been treated as ambiguous or underexplored (
                    <xref ref-type="bibr" rid="ref20">Dutta et al., 1999</xref>; 
                    <xref ref-type="bibr" rid="ref38">Laureti &amp; Viviani, 2011</xref>). By empirically validating that strong internal profitability facilitates improved market valuation&#x2014;measured via Tobin&#x2019;s Q, market value, and stock return&#x2014;the study contributes to bridging RBV and Signaling Theory perspectives.</p>
                <p>Third, the methodological framework developed in this study represents a novel contribution to capability-performance research. By integrating DEA, OLSMR, and BPNN, the research captures both the efficiency of capability utilization and the linear and nonlinear dynamics of their impact on firm performance. Previous studies have relied predominantly on linear or subjective measures of capabilities, often ignoring nonlinearity, feedback loops, or configuration effects (
                    <xref ref-type="bibr" rid="ref17">Donthu et al., 2005</xref>; 
                    <xref ref-type="bibr" rid="ref44">Mazhar et al., 2007</xref>). The hybrid DEA&#x2013;OLSMR&#x2013;BPNN approach used in this study enables a more nuanced and predictive understanding of how capabilities translate into performance, and it provides a replicable model for future empirical investigations.</p>
                <p>Fourth, this research introduces a performance-tier segmentation analysis that distinguishes high-performing firms from low-performing ones based on the deviation between predicted and actual performance outcomes. This novel application of BPNN-based segmentation enables deeper insight into how high-performing firms achieve superior capability integration and strategic configuration, while low-performing firms rely more on external signaling rather than intrinsic capability strength. This approach contributes methodologically and conceptually to understanding heterogeneity in firm competitiveness, aligning with recent calls for finer-grained analyses of strategic capability deployment (
                    <xref ref-type="bibr" rid="ref67">Wilden et al., 2016</xref>).</p>
                <p>Finally, by focusing on a unique empirical setting&#x2014;publicly listed firms in Taiwan&#x2014;this study adds to the limited body of high-quality strategic management research in emerging and innovation-driven East Asian markets. Taiwan&#x2019;s distinct industrial composition, high R&amp;D intensity, and robust manufacturing base offer a valuable context for testing and extending generalizable theories in strategic capability and performance research (
                    <xref ref-type="bibr" rid="ref19">Dutta et al., 2022</xref>). Thus, this research not only contributes to theory building but also enhances contextual and geographic diversity in strategic management scholarship.</p>
            </sec>
            <sec id="sec24">
                <title>5.3 Managerial implications</title>
                <p>This study offers several important and actionable insights for managers and business professionals seeking to enhance both the profitability and market valuation of their firms. The implications span strategic investment, capability development, cross-functional integration, and performance evaluation. First, managers must prioritize industry-specific capability investment. The results reveal that different capabilities contribute disproportionately across sectors. For manufacturing firms, operational capability&#x2014;such as lean production, supply chain efficiency, and process automation&#x2014;is the most critical driver of profitability. In contrast, service firms benefit most from marketing capabilities, which help build customer relationships and foster internal service quality. For high-tech firms, R&amp;D capability stands out as the strongest influence on both profitability and investor valuation. These findings suggest that managers should avoid uniform strategies and instead tailor capability development to the strategic and structural characteristics of their industry.</p>
                <p>Second, firms must focus not only on building strong individual capabilities but also on integrating capabilities across functions. The BPNN analysis highlights synergistic effects&#x2014;such as between marketing and R&amp;D in high-tech industries or between HR and marketing in services&#x2014;that significantly enhance predictive performance. Managers should encourage collaboration across departments, foster cross-functional teams, and develop organizational routines that allow capabilities to reinforce each other. For instance, aligning HR policies with marketing initiatives can improve employee engagement and customer experience simultaneously.</p>
                <p>Third, the study reinforces the importance of profitability as a strategic bridge between internal capabilities and external market value. While investor confidence may be influenced by intangible signals, robust internal performance remains a fundamental driver of market valuation. Managers should track and improve profitability-related indicators&#x2014;such as margins, return on assets, and sustainable growth&#x2014;as these not only reflect operational success but also shape investor perception. Investing in financial transparency, internal performance monitoring, and strategic cost management can yield long-term benefits in capital markets.</p>
                <p>Fourth, the issue of overinvestment with low efficiency emerged as a critical managerial concern. The DEA and performance segmentation results showed that some firms, despite high expenditure in marketing or R&amp;D, failed to convert these investments into superior performance due to misaligned strategies or poor execution. This suggests that more spending does not automatically lead to better outcomes. Managers should focus not only on the magnitude of investment but also on the efficiency and strategic alignment of those investments. Regular capability audits, efficiency benchmarking, and value realization assessments are essential to prevent resource misallocation and performance deterioration.</p>
                <p>Fifth, the hybrid performance evaluation model proposed in this study offers managers a diagnostic tool for more accurate capability assessment. DEA provides a benchmark for relative efficiency, while BPNN captures nonlinear effects and identifies high-leverage interactions. Managers can adopt a similar hybrid approach to audit their internal systems, simulate performance under different scenarios, and prioritize capability reallocation based on data-driven evidence. This can help firms better understand not only which capabilities matter, but how and when they matter most.</p>
                <p>Lastly, the findings suggest that sustained performance requires more than just functional excellence&#x2014;it requires strategic alignment, cross-functional collaboration, investment efficiency, evidence-based decision-making, and ongoing capability renewal. Managers who internalize and act upon these insights will be better positioned to navigate complexity and build resilient, high-performing organizations.</p>
            </sec>
            <sec id="sec25">
                <title>5.4 Limitations and future research directions</title>
                <p>Despite the robust analytical framework and comprehensive dataset, this study is not without limitations. First, the research design is cross-sectional, which restricts the ability to draw causal inferences or observe dynamic changes in capability development and performance over time. Future research should consider longitudinal designs to capture the temporal evolution of functional capabilities and their lagged effects on firm outcomes.</p>
                <p>Second, while the study integrates DEA, OLSMR, and BPNN to enhance robustness, it still relies on firm-level financial and operational indicators that may not fully capture qualitative aspects of capability execution&#x2014;such as leadership quality, innovation culture, or employee engagement. Future studies could adopt mixed-method approaches or incorporate survey-based perceptual data to enrich the analysis.</p>
                <p>Third, the focus on publicly listed Taiwanese firms may limit generalizability to small or privately held enterprises and to firms in other institutional contexts. Future research should replicate the model in different national or regional settings, particularly in emerging economies or volatile industries, to validate the framework&#x2019;s applicability and uncover context-specific patterns.</p>
                <p>Finally, the study assumes capability efficiency is uniformly applicable across firms, but variations in strategic intent, competitive positioning, and market turbulence may moderate these relationships. Future investigations could explore contingent factors&#x2014;such as technological turbulence, digital maturity, or ESG practices&#x2014;that shape the capability&#x2013;performance nexus.</p>
            </sec>
        </sec>
    </body>
    <back>
        <sec id="sec28" sec-type="data-availability">
            <title>Data availability statement</title>
            <sec id="sec29">
                <title>Underlying data</title>
                <p>Figshare: 
                    <italic toggle="yes">A Hybrid Approach to Evaluate Business Efficiency, Profitability, and Market Valuation: An Empirical Validation.</italic> 
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.6084/m9.figshare.31567363">https://doi.org/10.6084/m9.figshare.31567363</ext-link> (
                    <xref ref-type="bibr" rid="ref72">Liao et al., 2026</xref>).</p>
                <p>The project contains the following underlying data:
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x2022;</label>
                            <p>

                                <bold>BPNN Data</bold> (raw data used for the backpropagation neural network analysis).</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>

                                <bold>DEA Data</bold> (raw data used for the data envelopment analysis).</p>
                        </list-item>
                    </list>
                </p>
            </sec>
            <sec id="sec30">
                <title>Extended data</title>
                <p>Figshare: 
                    <italic toggle="yes">A Hybrid Approach to Evaluate Business Efficiency, Profitability, and Market Valuation: An Empirical Validation.</italic> 
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.6084/m9.figshare.31567363">https://doi.org/10.6084/m9.figshare.31567363</ext-link> (
                    <xref ref-type="bibr" rid="ref72">Liao et al., 2026</xref>).</p>
                <p>This project contains the following extended data:
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x2022;</label>
                            <p>

                                <bold>Supplementary Table</bold> (file containing three supplementary tables).</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>

                                <bold>Supplementary Figure</bold> (file containing five supplementary figures).</p>
                        </list-item>
                    </list>
                </p>
                <p>Data are available under the terms of the 
                    <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International license</ext-link> (CC-BY 4.0).</p>
            </sec>
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    <sub-article article-type="reviewer-report" id="report479461">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.197035.r479461</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Alessio</surname>
                        <given-names>Bumbea</given-names>
                    </name>
                    <xref ref-type="aff" rid="r479461a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0009-0005-1358-5823</uri>
                </contrib>
                <contrib contrib-type="author">
                    <name>
                        <surname>Mazzitelli</surname>
                        <given-names>Andrea</given-names>
                    </name>
                    <xref ref-type="aff" rid="r479461a2">2</xref>
                    <role>Co-referee</role>
                </contrib>
                <aff id="r479461a1">
                    <label>1</label>Universitas Mercatorum, Lazio, Italy</aff>
                <aff id="r479461a2">
                    <label>2</label>Department of Economics, Statistics and Business, Universitas Mercatorum (Ringgold ID: 630457), Rome, Lazio, Italy</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>7</day>
                <month>5</month>
                <year>2026</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Alessio B and Mazzitelli A</copyright-statement>
                <copyright-year>2026</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport479461" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.178626.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>
                <bold>Referee Report: A Hybrid Approach to Evaluate Business Efficiency, Profitability, and Market Valuation: An Empirical Validation</bold>
            </p>
            <p> 
                <bold>Article Title:</bold> A Hybrid Approach to Evaluate Business Efficiency, Profitability, and Market Valuation: An Empirical Validation</p>
            <p> </p>
            <p> 
                <bold>Article Summary</bold>
            </p>
            <p> The article proposes a hybrid two-stage analytical framework integrating Data Envelopment Analysis (DEA) and Backpropagation Neural Networks (BPNN) to evaluate business efficiency, profitability, and market valuation. In the first stage, DEA is used to quantify the efficiency of four functional capabilities (marketing, operations, R&amp;D, and human resources) using multi-input and multi-output configurations. In the second stage, BPNNs (compared against Ordinary Least Squares Multiple Regression) model the non-linear relationships between capability efficiency scores and firm performance outcomes. The empirical sample comprises 1,271 publicly listed firms in Taiwan across high-technology, manufacturing, and service industries, from 2020 to 2023. The results indicate that BPNNs consistently outperform regression-based models in predictive accuracy. Industry-specific patterns emerged, highlighting the differentiated importance of functional capabilities and effective capability alignment as the primary mechanism for superior profitability and market valuation.</p>
            <p> </p>
            <p> 
                <bold>General Recommendation</bold>
            </p>
            <p> The article addresses a relevant topic and presents an interesting methodological approach. The integration of DEA and BPNN to analyze business efficiency and performance is promising, and the results suggest useful insights. However, the paper should be 
                <bold>approved with reservation </bold>as
                <bold> </bold>
                <bold>major revisions</bold> are necessary to improve clarity, methodological robustness, and literature contextualization. In particular, a more detailed discussion of methodological specifics, justification of certain choices, and a more thorough comparison with recent literature are crucial to make the article scientifically sound and publishable.</p>
            <p> </p>
            <p> 
                <bold>1. Is the work clearly and accurately presented and does it cite the current literature?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The general presentation of the work is clear, with a logical structure guiding the reader through the introduction, methodology, results, and conclusions. The abstract effectively summarizes the key points. However, clarity could be improved in several sections, particularly regarding methodological detaiFor example, the specific DEA model used (e.g., CCR [1], BCC [13]), its orientation (input-oriented or output-oriented), and its underlying assumptions are not explicitly detailed in the main article. This omission makes it difficult for the reader to fully assess the model's applicability and limitations, as the choice of model and orientation significantly impacts the efficiency scores and their interpretation [6].</p>
            <p> Regarding the citation of current literature, the article includes relevant references for theoretical foundations (Resource-Based View, Dynamic Capability Theory, Signaling Theory) and for the application of DEA and neural networks. However, a search for recent literature (2024-2026) revealed several DEA-ML hybrid studies and machine learning applications to business performance that could enrich the discussion and better position the contribution of the present work [2], [3]. For instance, recent works such as those by Wu (2025) or Zhang (2024) using similar frameworks could be cited to show the most current research context [2], [3]. The article could benefit from a deeper analysis of current trends in integrating DEA with advanced machine learning techniques, as suggested by studies exploring explainable AI in efficiency contexts [4].</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Clearly specify the DEA model used (e.g., CCR or BCC), its orientation (input-oriented or output-oriented), and its underlying assumptions. Provide a brief justification for choosing this specific model and orientation over alternatives, referencing relevant literature [1], [6], [13].</p>
                    </list-item>
                    <list-item>
                        <p>Update the literature section with more recent references (2024-2026) on hybrid DEA-ML models and machine learning applications to efficiency and business performance evaluation [2], [3], [4].</p>
                    </list-item>
                    <list-item>
                        <p>Improve clarity in describing the BPNN parameters and architecture, as also requested by a reviewer in the provided reference material.</p>
                    </list-item>
                </list> </p>
            <p> 
                <bold>2. Is the study design appropriate and is the work technically sound?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The study design, combining DEA and BPNN, is conceptually appropriate for addressing the limitations of linear models and capturing non-linear relationships between business capabilities and performance. The use of a two-stage approach is a well-established strategy in the literature to overcome some of the intrinsic limitations of DEA (e.g., its non-parametric nature and lack of direct predictive capabilities) [5]. The choice to compare BPNNs with OLSMR regression is valid for demonstrating the advantages of non-linear models.</p>
            <p> </p>
            <p> However, the technical soundness of the work could be strengthened with more details and justifications. For example, the specific selection of inputs and outputs for the DEA model is crucial for the validity of efficiency scores but is not discussed in depth. Without clear justification, the choice of variables could be perceived as arbitrary [6]. Furthermore, the sensitivity of DEA results to variable selection is a known limitation that should be acknowledged and, if possible, mitigated or discussed [7].</p>
            <p> </p>
            <p> Another aspect concerns the calibration and validation of the BPNN model. Although the article states that BPNNs outperformed regression models, specific details on hyperparameter optimization (e.g., number of hidden layers, neurons per layer, activation function, learning rate) and cross-validation techniques used are missing. These details are fundamental to ensure the robustness and replicability of the results [8].</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Provide a more detailed justification for the selection of specific inputs and outputs for the DEA model, explaining how these variables reflect functional capabilities and desired outcomes [6].</p>
                    </list-item>
                    <list-item>
                        <p>Discuss the potential limitations of DEA regarding variable selection and how these were considered or mitigated [7].</p>
                    </list-item>
                    <list-item>
                        <p>Detail the BPNN architecture, training parameters, and cross-validation techniques used to ensure model robustness [8].</p>
                    </list-item>
                </list> </p>
            <p> 
                <bold>Clarity of Writing</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> While the manuscript is generally well-written, there are areas where clarity could be significantly improved. For instance, the label for the table on page 7 (referring to the original article) appears to be redundant, merely repeating the content of the table itself. This can make it difficult for readers to quickly grasp the table's purpose without delving into its content. Additionally, Figure 2, which illustrates the BPNN model, shows inputs and outputs that are visually 'barred' or crossed out in red. This visual element is not explained in the figure caption or the main text, leading to confusion about its meaning and implications for the model's structure or data flow. Such visual inconsistencies or unexplained elements can detract from the overall clarity and professionalism of the presentation. Furthermore, the formulas for linear regressions presented in the methodology section are missing the error terms, which is a standard practice in statistical modeling and crucial for a complete representation of the models.</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Revise the label for the table on page 7 to be concise and informative, avoiding redundancy with the table's content.</p>
                    </list-item>
                    <list-item>
                        <p>Clarify the meaning of the 'barred' inputs and outputs in red in Figure 2. If these indicate excluded variables or specific processing steps, this should be explicitly stated and explained in the figure caption and the methodology section.</p>
                    </list-item>
                </list> </p>
            <p> 
                <bold>3. Are sufficient details of methods and analysis provided to allow replication by others?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The article provides a general overview of the methodology, but crucial details for full replication are missing. For example, the description of the DEA model is generic. To replicate the results, a researcher would need to know whether a CCR or BCC model was used, whether it is input- or output-oriented, and whether constant or variable returns to scale were applied [1]. These details are standard in DEA literature, and their omission hinders replicability.</p>
            <p> </p>
            <p> Similarly, for the BPNN, although the use of backpropagation neural networks is mentioned, no details are provided on the specific architecture (e.g., number of hidden layers, number of neurons per layer), activation functions, optimization algorithm (e.g., stochastic gradient descent, Adam), learning rate, number of epochs, and overfitting management (e.g., dropout, early stopping) [8]. Without this information, exact replication of the model is impossible.</p>
            <p> </p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Provide a detailed description of the DEA model, including the model type (CCR/BCC), orientation (input/output), and assumptions on returns to scale [1].</p>
                    </list-item>
                    <list-item>
                        <p>Exhaustively describe the BPNN architecture, training parameters (e.g., number of layers, neurons, activation functions, optimization algorithm, learning rate, epochs), and regularization techniques used [8].</p>
                    </list-item>
                </list> 
                <bold>4. If applicable, is the statistical analysis and its interpretation appropriate?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The statistical analysis is based on the application of DEA and BPNN, with a comparison to OLSMR models. The interpretation of the results, particularly the outperformance of BPNNs over regression models, is presented consistently with the study's objectives. The discussion of industry-specific patterns and performance-tier segmentation adds value to the interpretation.</p>
            <p> </p>
            <p> However, there are aspects that could improve the appropriateness and robustness of the statistical analysis. DEA, being a non-parametric method, is sensitive to the number of Decision Making Units (DMUs) relative to the number of inputs and outputs. A high number of DMUs on the efficiency frontier (score of 1.0) can indicate poor discriminatory power of the DEA model [7]. This aspect should be discussed, and if applicable, techniques to improve discrimination, such as super-efficiency DEA or staged data envelopment analysis, should be considered [9].</p>
            <p> </p>
            <p> Furthermore, while the article mentions that BPNNs outperformed regression models, no details are provided on the performance metrics used for this comparison (e.g., RMSE, MAE, adjusted R-squared). A more rigorous presentation of the comparison results, perhaps with appropriate statistical tests, would strengthen the claims [8]. It is also unclear how the predictive performances of the variables are computed for the neural networks. A clearer explanation is needed regarding whether these are derived from neuron activation functions, sensitivity analysis, or other specific methods, as this directly impacts the interpretation of variable importance within the BPNN model.</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Discuss the discriminatory power of the DEA model and, if necessary, propose or implement techniques to improve it, such as super-efficiency or staged data envelopment analysis [7], [9].</p>
                    </list-item>
                    <list-item>
                        <p>Provide detailed performance metrics (e.g., RMSE, MAE, R-squared) for the comparison between BPNN and OLSMR, and, if possible, include statistical significance tests for variables in the OLS scenario [8].</p>
                    </list-item>
                    <list-item>
                        <p>Consider sensitivity analysis of DEA results with respect to different model specifications (e.g., variations in inputs/outputs or model type) to demonstrate the robustness of efficiency scores [6].</p>
                    </list-item>
                </list> </p>
            <p> 
                <bold>5. Are all the source data underlying the results available to ensure full reproducibility?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The attached data files (
                <underline>DEAdata.xlsx</underline> and 
                <underline>BPNNData.xlsx</underline>) are available, which is a positive step towards reproducibility. The absence of a code file or script showing how the raw data was processed to obtain DEA efficiency scores and how these were used to train and test the BPNN is a significant gap for reproducibility [8].</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Provide a comprehensive data dictionary that maps all columns in the attached Excel files to the variables used in the study, with clear descriptions and units of measurement [6].</p>
                    </list-item>
                    <list-item>
                        <p>Include the source code (e.g., Python, R, or other software scripts) used for the implementation of DEA and BPNN, including data pre-processing steps, model training, validation, and results generation. This is fundamental for full reproducibility [8].</p>
                    </list-item>
                </list> </p>
            <p> 
                <bold>6. Are the conclusions drawn adequately supported by the results?</bold>
            </p>
            <p> 
                <bold>Answer:</bold> Partly</p>
            <p> </p>
            <p> 
                <bold>Comments:</bold>
            </p>
            <p> </p>
            <p> The conclusions drawn in the article, that functional capability configurations differ significantly across industries and performance tiers, and that effective capability alignment is the primary mechanism for superior profitability and market valuation, are consistent with the presented results. The results showing BPNNs outperforming regression models support the idea that non-linear relationships are important. The segmentation by industry and performance tier adds credibility to the conclusions about the differentiation of capability configurations. Specifically, Hypothesis 6, which posits that the relative impact of capabilities differs by performance tier, could benefit from referencing works such as [12], which provides a strong theoretical underpinning for such differentiation.</p>
            <p> Additionally, the study's limitations should be discussed more thoroughly. For example, using data from a single country (Taiwan) might limit the generalizability of the results to other economic and cultural contexts. The time horizon (2020-2023) covers a period characterized by significant global disruptions (e.g., COVID-19 pandemic), which might have influenced the results and should be considered in the interpretation [11].</p>
            <p> </p>
            <p> 
                <bold>Points to Address:</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Expand the discussion on practical and managerial implications, providing specific recommendations based on the results for different sectors and performance tiers [10].</p>
                    </list-item>
                    <list-item>
                        <p>Discuss the study's limitations more thoroughly, particularly regarding the generalizability of the results (geographic context) and the potential impact of exogenous events (e.g., pandemic) during the study period [11].</p>
                    </list-item>
                    <list-item>
                        <p>Provide a more detailed analysis of the relative importance weights derived from the BPNN to support the claim about effective capability alignment.</p>
                    </list-item>
                </list>
            </p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Partly</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Partly</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Partly</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Partly</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Partly</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Partly</p>
            <p>Reviewer Expertise:</p>
            <p>machine learning, causal inference, economic complexity, firm analysis</p>
            <p>We confirm that we have read this submission and believe that we have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however we have significant reservations, as outlined above.</p>
        </body>
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