<?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="other" 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.181425.1</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Policy Brief</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>Statistical Information on COVID-19 Vaccines in Italy: Methodological Errors and Misleading Communication</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 1; peer review: awaiting peer review]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Cheli</surname>
                        <given-names>Bruno</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-8360-4886</uri>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Bellavite</surname>
                        <given-names>Paolo</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Foschi</surname>
                        <given-names>Rachele</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <uri content-type="orcid">https://orcid.org/0000-0003-0249-7252</uri>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Bagnato</surname>
                        <given-names>Alessandro</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Gregori</surname>
                        <given-names>Mario</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Trambusti</surname>
                        <given-names>Giovanni</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Donzelli</surname>
                        <given-names>Alberto</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Resources</role>
                    <role content-type="http://credit.niso.org/">Supervision</role>
                    <role content-type="http://credit.niso.org/">Visualization</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a3">3</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Department of Economics and Management, University of Pisa, Pisa, 56124, Italy</aff>
                <aff id="a2">
                    <label>2</label>Independent Researcher, Verona, Italy</aff>
                <aff id="a3">
                    <label>3</label>Fondazione Centro Studi Allineare Sanit&#x00e0; e Salute, Milano, Italy</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:rachele.foschi@unipi.it">rachele.foschi@unipi.it</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>12</day>
                <month>6</month>
                <year>2026</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2026</year>
            </pub-date>
            <volume>15</volume>
            <elocation-id>923</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>21</day>
                    <month>5</month>
                    <year>2026</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2026 Cheli B 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/15-923/pdf"/>
            <abstract>
                <sec>
                    <title>Background</title>
                    <p>The statistical information on COVID-19 vaccines was disseminated in Italy by the institutional bodies responsible for producing and communicating health data.</p>
                </sec>
                <sec>
                    <title>Policy and Implications</title>
                    <p>The communication of statistical health data was affected by a series of errors of varying magnitude and severity, as well as by ambiguity and a lack of clarity. In some cases, data of fundamental importance for specific assessments were not disclosed, while in others the data themselves were used in a manifestly misleading manner. This led to a significant overestimation of vaccine effectiveness and a parallel underestimation of adverse reactions occurring after vaccination. We cannot rule out that errors of the opposite kind may also have occurred, but none emerged from our analysis, suggesting the existence of structural biases in the production and communication of the data.</p>
                </sec>
                <sec>
                    <title>Recommendations and Conclusions</title>
                    <p>This policy brief does not question vaccination campaigns per se, but rather emphasizes the need for methodological rigor, informational clarity, and communicative integrity in support of public health decision-making.</p>
                </sec>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>COVID-19 vaccines</kwd>
                <kwd>vaccine effectiveness</kwd>
                <kwd>pharmacovigilance</kwd>
                <kwd>Italian Medicines Agency</kwd>
                <kwd>methodological errors</kwd>
                <kwd>misleading communication</kwd>
            </kwd-group>
            <funding-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="sec4" sec-type="intro">
            <title>Introduction</title>
            <p>
The COVID-19 pandemic was marked by an unprecedented use and dissemination of statistical data and analyses. In its early phases, public communication focused primarily on epidemic dynamics; by late 2020, however, attention increasingly shifted toward the effectiveness and safety of COVID-19 vaccines&#x2014;initially on the basis of evidence from clinical trials and, following the launch of the vaccination campaign, on data collected through integrated surveillance systems. Despite the substantial efforts of the institutions responsible for producing and disseminating this information, the quality of statistical communication was not always adequate and frequently fell short in terms of clarity, completeness, and impartiality.</p>
            <p>This contribution presents a systematic and comprehensive analysis of errors and misrepresentations in statistical information on COVID-19 vaccines in Italy, on the part of both the institutional actors involved in the production and dissemination of health data and governmental and local administrations.</p>
            <p>A preliminary version of this work has been published in Italian as a working paper (
                <xref ref-type="bibr" rid="ref11">Baccini et al., 2025</xref>).</p>
        </sec>
        <sec id="sec5">
            <title>Policy outcomes and implications</title>
            <sec id="sec6">
                <title>Measuring the efficacy and the effectiveness of COVID-19 vaccines</title>
                <p>The vaccines under consideration were evaluated with the aim of preventing symptomatic COVID-19 disease (
                    <xref ref-type="bibr" rid="ref30">Polack et al., 2020</xref>; 
                    <xref ref-type="bibr" rid="ref36">Voysey et al., 2021</xref>), rather than SARS-CoV-2 infection or transmission. Nevertheless, they were often presented as effective tools for blocking contagion, despite the lack of experimental evidence supporting such claims.</p>
                <p>
In assessing vaccine efficacy and effectiveness, both manufacturers and health institutions relied almost exclusively on relative risk reduction (RRR), neglecting absolute risk reduction (ARR). In the context of COVID-19, RRR quantifies the proportion of cases prevented by the vaccine among individuals who would have developed the disease in the absence of vaccination. By contrast, ARR measures the reduction in the overall risk of developing COVID-19 among all vaccinated individuals, regardless of their baseline susceptibility, thereby quantifying the actual benefit at the population level. Its reciprocal, the Number Needed to Vaccinate (NNV), represents the number of individuals who must be vaccinated to prevent a single case of disease.</p>
                <p>During the first two months of the clinical trials, RRR values were high (95% for Pfizer, 94% for Moderna, and 67% for AstraZeneca) whereas ARR was approximately 1% as shown by 
                    <xref ref-type="bibr" rid="ref29">Olliaro et al. (2021)</xref> (see 
                    <xref ref-type="table" rid="T1">
Table 1</xref>). Consequently, around 100 individuals would need to be vaccinated to prevent a single case of disease. This point had already been noted for the Pfizer vaccine by 
                    <xref ref-type="bibr" rid="ref8">Baccini et al. (2021)</xref> and 
                    <xref ref-type="bibr" rid="ref17">Cheli (2021)</xref>.</p>
                <table-wrap id="T1" orientation="portrait" position="float">
                    <label>
Table 1. </label>
                    <caption>
                        <title>Relative and absolute efficacy measures for selected COVID-19 vaccines.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">

                                    <italic toggle="yes">Anti-COVID-19 vaccine</italic>
</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">

                                    <italic toggle="yes">Efficacy measure</italic>
</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top"/>
                                <th align="left" colspan="1" rowspan="1" valign="top">

                                    <italic toggle="yes">RRR</italic>
</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">

                                    <italic toggle="yes">ARR</italic>
</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">

                                    <italic toggle="yes">NNV</italic>
</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="middle">Pfizer&#x2013;BioNTech</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">95%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.84%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">119</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">AstraZeneca</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">67%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.3%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">78</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Moderna</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">94%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.2%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">81</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Johnson&amp;Johnson</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">67%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.2%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">84</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Gamaleya</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">91%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.93%</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">108</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>Source: Data from 
                            <xref ref-type="bibr" rid="ref29">Olliaro et al. (2021)</xref>
                        </p>
                        <p>Legend: RRR&#x00a0;=&#x00a0;Relative Risk Reduction, ARR&#x00a0;=&#x00a0;Absolute Risk Reduction,</p>
                        <p>NNV&#x00a0;=&#x00a0;Number Needed to Vaccinate</p>
                    </table-wrap-foot>
                </table-wrap>
                <p>
Institutional communications emphasized RRR and overshadowed ARR and NNV, which are crucial for assessing the utility of mass vaccination, particularly in contexts of low disease incidence. This contributed to a distorted representation of vaccine benefits
                    <xref ref-type="fn" rid="fn1">
                        <sup>1</sup>
                    </xref>, suggesting greater effectiveness than that supported by more comprehensive and transparent analyses.</p>
                <p>Beyond the modest ARR values, several authors have identified critical issues in the criteria used to assess efficacy based on data from the Pfizer trial (
                    <xref ref-type="bibr" rid="ref30">Polack et al., 2020</xref>; 
                    <xref ref-type="bibr" rid="ref35">Thomas et al., 2021</xref>), the most widely used vaccine in Italy. Moreover, frequent violations of the double-blind design in the Pfizer trial introduced objective biases into the evaluation of vaccine efficacy (
                    <xref ref-type="bibr" rid="ref21">Doshi, 2021</xref>; 
                    <xref ref-type="bibr" rid="ref34">Thacker, 2021</xref>; 
                    <xref ref-type="bibr" rid="ref19">Coombes and Davies, 2022</xref>; 
                    <xref ref-type="bibr" rid="ref31">Quinn et al., 2025</xref>).</p>
                <p>An additional critical issue concerns the lack of demonstrated effectiveness against mortality. For instance, in the Pfizer study, the total number of deaths in the vaccinated group (15/21,926) was slightly higher than in the placebo group (14/21,931) (see 
                    <xref ref-type="table" rid="T2">
Table 2</xref>).</p>
                <table-wrap id="T2" orientation="portrait" position="float">
                    <label>
Table 2. </label>
                    <caption>
                        <title>Observed deaths during the Pfizer vaccine trial, by cause of death.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Causes of death</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Vaccine (N&#x00a0;=&#x00a0;21.926)</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Placebo (N&#x00a0;=&#x00a0;21.931)</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">COVID-19/pneumonia COVID-19</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Heart-related causes</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">4</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Other causes</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">10</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">11</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>Total</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>15</bold>
</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">
                                    <bold>14</bold>
</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>Source: Data from 
                            <xref ref-type="bibr" rid="ref35">Thomas et al. (2021)</xref>, Supplementary Appendix, p. 11</p>
                        <p>Legend: N&#x00a0;=&#x00a0;sample size.</p>
                    </table-wrap-foot>
                </table-wrap>
                <p>These data, derived from a randomized double-blind study, should represent the most reliable evidence available, yet they contrast with widespread claims that vaccines saved &#x201c;millions of lives&#x201d; (
                    <xref ref-type="bibr" rid="ref38">Watson et al., 2022</xref>; 
                    <xref ref-type="bibr" rid="ref25">Ioannidis et al., 2025</xref>).</p>
                <p>Subsequent assessments of relative vaccine effectiveness in Italy were based primarily on data from the Italian National Institute of Health (Istituto Superiore di Sanit&#x00e0; - ISS), which exhibit several methodological shortcomings and the associated biases. These include: (i) the failure to specify, among vaccinated individuals, those who had recovered from COVID-19 prior to vaccination; (ii) selection bias due to the &#x201c;healthy vaccinee effect,&#x201d; whereby individuals who choose to be vaccinated tend on average to be in better health than those who do not; and (iii) the so-called &#x201c;14-day rule,&#x201d; which generates a very large distorting impact, as we will show in the next section.</p>
                <p>
                    <xref ref-type="bibr" rid="ref24">Fung et al. (2023)</xref> showed that, in observational studies based on administrative data, such as those produced by the ISS, the combined effect of these biases can substantially inflate estimates of vaccine effectiveness.</p>
            </sec>
            <sec id="sec7">
                <title>The 14-Day rule and the resulting bias</title>
                <p>According to the methodology adopted by the 
                    <xref ref-type="bibr" rid="ref26 ref27">ISS (2021, 2022)</xref>, all events&#x2014;SARS-CoV-2 infection, hospitalization, admission to intensive care, and death&#x2014;occurring within 14&#x00a0;days of the administration of the first vaccine dose were attributed to the unvaccinated population. Likewise, for the second and booster doses, events occurring within 14&#x00a0;days of administration were attributed to the previous vaccination status.</p>
                <p>The ISS justifies this classification on the grounds that 14&#x00a0;days are required to develop an immune response. Moreover, since the incubation period of SARS-CoV-2 infection can last up to 14&#x00a0;days, some infections recorded during this interval may have been contracted prior to vaccination.</p>
                <p>
However, reallocating cases among individuals vaccinated for less than 14&#x00a0;days to the unvaccinated category introduces a dual source of bias: on the one hand, the risk among vaccinated individuals is underestimated, on the other hand, the risk among unvaccinated individuals is overestimated; consequently, vaccine effectiveness results systematically overestimated.</p>
                <p>This methodological approach was not confined to Italy or the ISS; it was likewise adopted by comparable institutions in other countries, including the United Kingdom&#x2019;s Office for National Statistics (ONS), following guidance issued by the 
                    <xref ref-type="bibr" rid="ref37">WHO (2022)</xref>.</p>
                <p>
                    <xref ref-type="bibr" rid="ref23">Fenton and Neil (2023)</xref> showed that the overestimation of vaccine effectiveness resulting from the &#x201c;14-day rule&#x201d; is so substantial that even a placebo would appear highly effective during the initial months. These authors also provided a spreadsheet tool
                    <xref ref-type="fn" rid="fn2">
                        <sup>2</sup>
                    </xref> that allows the simulation of different scenarios by freely varying the infection rate, population size, and speed of the vaccination campaign, showing that every combination invariably leads to the same outcome.</p>
                <p>
The type of bias described above also affects the estimates and effectiveness analyses reported in numerous scientific studies published since 2021. In a systematic review, 
                    <xref ref-type="bibr" rid="ref28">Neil et al. (2024)</xref> identified this bias in each of the 38 studies they examined.</p>
                <p>
                    <xref ref-type="bibr" rid="ref7">Alessandria et al. (2025)</xref> documented the presence of the bias resulting from the &#x201c;14-day rule&#x201d; in data from an Italian region obtained through a public records access request, showing that it artificially increased mortality among unvaccinated individuals while reducing it among vaccinated individuals, in line with what was described above.</p>
                <p>The magnitude of this bias raises serious concerns about the reliability of vaccine effectiveness analyses conducted to date by the ISS (and the UK ONS), as well as those reported in a large proportion of published observational studies.</p>
            </sec>
            <sec id="sec8">
                <title>Surveillance of COVID-19 vaccines</title>
                <p>Concerning vaccine safety, the most critical issue is the almost exclusive reliance on passive pharmacovigilance, which entails a substantial underestimation of adverse reactions and adverse events.</p>
                <p>
According to the 14th AIFA report
                    <xref ref-type="fn" rid="fn3">
                        <sup>3</sup>
                    </xref> (AIFA is the Italian Medicines Agency), from the beginning of the vaccination campaign up to December 2022 approximately 26,300 serious adverse reactions were reported, corresponding to 18.1 per 100,000 doses administered. Of these, however, only one third were considered to be causally related to vaccination (6 per 100,000 doses). By contrast, randomized double-blind clinical trials indicate that serious systemic reactions amount to approximately 4% in the case of the Pfizer vaccine and 17% in the case of Moderna
                    <xref ref-type="fn" rid="fn4">
                        <sup>4</sup>
                    </xref>. Moreover, data from the active surveillance system V-safe in the United States show an even higher number of severe reactions, such as those making persons unable to work, ranging from approximately 12,300 to 20,000 per 100,000&#x00a0;second doses (
                    <xref ref-type="bibr" rid="ref33">Rosenblum et al., 2022</xref>).</p>
                <p>
Since the rates derived from pivotal clinical trials and from active surveillance systems are far more reliable than those obtained through passive surveillance (
                    <xref ref-type="bibr" rid="ref1">Ahmadizar et al., 2023</xref>; 
                    <xref ref-type="bibr" rid="ref11">Baccini et al., 2025</xref>; 
                    <xref ref-type="bibr" rid="ref15">Carter et al., 2025</xref>; 
                    <xref ref-type="bibr" rid="ref16">Chandra et al., 2026</xref>), the figures disseminated by AIFA dramatically underestimate the magnitude of adverse reactions and adverse events.</p>
            </sec>
            <sec id="sec9">
                <title>Reported deaths and causality assessment</title>
                <p>Further critical issues concern the method used by AIFA to assess the causal link between vaccination and adverse events, which is based on a WHO algorithm that classifies cases into four categories: 
                    <italic toggle="yes">consistent</italic> with causal association, 
                    <italic toggle="yes">inconsistent</italic> with causal association, 
                    <italic toggle="yes">indeterminate</italic>, and 
                    <italic toggle="yes">unclassifiable.</italic> This method led to the recognition of only 29 deaths as being causally related to vaccination out of 971 deaths reported during the first two years of the vaccination campaign; the vast majority were classified as &#x201c;inconsistent&#x201d; or &#x201c;indeterminate&#x201d; (
                    <xref ref-type="bibr" rid="ref5">AIFA, 2023</xref>). Moreover, AIFA assessed only 812 of the 971 reported deaths; the remaining 159 were either never evaluated or, if evaluated, the outcomes of those assessments were not disclosed. Nor did it conduct or report further investigations to resolve the uncertainty surrounding the many cases classified as &#x201c;indeterminate&#x201d; or &#x201c;unclassifiable.&#x201d; In particular, public communication tends inappropriately to identify the &#x201c;indeterminate&#x201d; category with a disproven causal association.</p>
                <p>The WHO algorithm entails a standardized analysis based on highly restrictive criteria. 
                    <xref ref-type="bibr" rid="ref13">Bellavite et al. (2024)</xref> highlight how these criteria (temporal relationship, biological plausibility, frequency of the event in the general population, presence of pre-existing conditions or comorbidities, and the existence of evidence in the scientific literature) systematically bias assessments toward excluding a causal relationship or, at the very least, making its recognition highly unlikely. In particular, the presence of pre-existing conditions is systematically used to attribute the adverse event to other causes, even in the absence of specific evidence supporting such a conclusion. Furthermore, the criterion requiring evidence in the literature tends to exclude events that are still poorly studied or not yet formally documented, as initially occurred in the case of post-vaccination menstrual disorders
                    <xref ref-type="fn" rid="fn5">
                        <sup>5</sup>
                    </xref>.</p>
                <p>When these criteria were applied, no causal association with vaccination was recognized for the majority of reported deaths, either because the events occurred outside the predefined time window or because, under the aforementioned algorithm, establishing a causal relationship is exceedingly difficult. As a result, most assessments concluded as &#x201c;inconsistent with causal association&#x201d; or &#x201c;indeterminate.&#x201d; (see 
                    <xref ref-type="bibr" rid="ref20">Deutscher et al., 2024</xref>).</p>
                <p>In June 
                    <xref ref-type="bibr" rid="ref6">2025</xref>, AIFA published the Vaccine Report 2023, containing reports of adverse events following immunization (AEFI) for 26 vaccines, including COVID-19 vaccines. One of the identified critical issues of this report is the improper aggregation of active and passive surveillance data, expressed in relation to the total number of administered doses, which leads to a serious underestimation of AEFI rates.</p>
            </sec>
            <sec id="sec10">
                <title>Errors in AIFA&#x2019;s analysis comparing expected and observed post-vaccination deaths</title>
                <p>Another critical issue in AIFA&#x2019;s assessment of the safety of COVID-19 vaccines concerns serious errors in the analyses comparing &#x201c;observed&#x201d; and &#x201c;expected&#x201d; post-vaccination deaths, as reported in the 5th and 10th vaccine surveillance reports (
                    <xref ref-type="bibr" rid="ref2">AIFA, 2021a</xref> and 
                    <xref ref-type="bibr" rid="ref4">2022</xref>). AIFA compares what it defines as &#x201c;observed&#x201d; post-vaccination deaths with those expected in the absence of vaccination, computes the Standardized Mortality Ratio (SMR), and&#x2014;obtaining values significantly below 1&#x2014;concludes that there is no evidence of increased mortality associated with vaccination.</p>
                <p>However, these conclusions are unreliable due to two fundamental errors. The first is a gross overestimation of expected deaths, which mechanically lowers the SMR value. The most serious error, however, lies in considering as &#x201c;observed&#x201d; deaths only those reported through pharmacovigilance systems, rather than all deaths that actually occurred within the vaccinated population. This makes the two terms of the ratio non-comparable, leading to an artificially low SMR (
                    <xref ref-type="bibr" rid="ref18">Cheli et al. 2022</xref>; 
                    <xref ref-type="bibr" rid="ref9">Baccini et al., 2022</xref> and 
                    <xref ref-type="bibr" rid="ref10">2023</xref>).</p>
            </sec>
            <sec id="sec11">
                <title>Use of misleading infographics</title>
                <p>A further distortion concerns graphs and infographics that were improperly designed to convey reassuring messages rather than to provide accurate and impartial information. An example is offered by several bubble charts included in the first six AIFA vaccine surveillance reports. One such chart is reproduced on the left-hand side of 
                    <xref ref-type="fig" rid="f1">
Figure 1</xref>. The television program &#x201c;Fuori dal coro&#x201d; (25 April 2023) also showed an internal email from an AIFA executive containing the following instruction: &#x201c;
                    <italic toggle="yes">The area of the circle representing serious adverse events should not be proportional; it could be smaller</italic>&#x201d;. The area of the inner circle should represent 11.9% of the total, but it is actually much smaller (the right-hand side of the Figure reconstructs the chart using correct proportions). This design choice leads the public to perceive a smaller share of serious adverse reactions than that indicated by the numerical data.</p>
                <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                    <label>
Figure 1. </label>
                    <caption>
                        <title>Chart published in the 6th AIFA Report on COVID-19 Vaccine Surveillance vs corrected elaboration.</title>
                        <p>Source: 
Left-hand side: 6th AIFA Report on COVID-19 Vaccine Surveillance (
                            <xref ref-type="bibr" rid="ref3">AIFA, 2021b</xref>); right-hand side: our elaboration of left-hand side chart. Reproduced/adapted from publicly available material.</p>
                        <p>Legend &#x2013; Translation of the text: Title: suspected serious/non-serious adverse reactions.</p>
                        <p>In green: non-serious.</p>
                        <p>In orange: serious.</p>
                        <p>At the bottom: 0.2% of suspected adverse reactions are unclassified.</p>
                        <p>Left-hand side (original chart): the area of the orange circle is much smaller than 11.9% of the total.</p>
                        <p>Right-hand side (authors&#x2019; elaboration): the same chart reconstructed using correct proportions.</p>
                    </caption>
                    <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/200264/0dd728c4-ecaf-4aa3-946a-f93f608a6e1b_figure1.gif"/>
                </fig>
                <p>Further examples include infographics issued by some Regional authorities which, through altered dimensions and symbolism (alongside the biases discussed in Sections 2 and 3), inflate the perceived effectiveness and safety of the vaccination (
                    <xref ref-type="bibr" rid="ref11">Baccini et al., 2025</xref>).</p>
                <p>As an illustrative example, we examine here an infographic published by the Piemonte Region (
                    <xref ref-type="fig" rid="f2">
Figure 2</xref>).</p>
                <fig fig-type="figure" id="f2" orientation="portrait" position="float">
                    <label>
Figure 2. </label>
                    <caption>
                        <title>Incorrectly designed infographic by Piemonte Region.</title>
                        <p>Source: Published on the official Facebook page of Piemonte Region on January 7, 2022. (
                            <ext-link ext-link-type="uri" xlink:href="https://www.facebook.com/regione.piemonte.official/posts/5180080022004802">https://www.facebook.com/regione.piemonte.official/posts/5180080022004802</ext-link>) and subsequently republished by several news outlets, including Gazzetta d&#x2019;Asti (
                            <ext-link ext-link-type="uri" xlink:href="https://www.gazzettadasti.it/2022/01/08/covid-mortalita-12-volte-piu-alta-per-gli-over-50-non-vaccinati-gazzetta-dasti/">https://www.gazzettadasti.it/2022/01/08/covid-mortalita-12-volte-piu-alta-per-gli-over-50-non-vaccinati-gazzetta-dasti/</ext-link>) and Cuneo24.it (
                            <ext-link ext-link-type="uri" xlink:href="https://www.cuneo24.it/2022/01/mortalita-da-covid-12-volte-piu-alta-per-gli-over-50-non-vaccinati-in-piemonte-142069/">https://www.cuneo24.it/2022/01/mortalita-da-covid-12-volte-piu-alta-per-gli-over-50-non-vaccinati-in-piemonte-142069/</ext-link>). Reproduced from publicly available material.</p>
                        <p>Legend - Translation of the text: At the top center: &#x201c;Piemonte vaccinates you - 12 times higher mortality for unvaccinated individuals over 50 &#x2013; last 30&#x00a0;days&#x2019; data&#x201d;.</p>
                        <p>Inside the rectangle: &#x201c;211 Covid deaths among people aged 50 and over&#x201d;.</p>
                        <p>In red: &#x201c;119 deaths among 205,000 unvaccinated people aged 50 and over&#x201d;.</p>
                        <p>In green: &#x201c;92 deaths among 1.9 million vaccinated people aged 50 and over&#x201d;.</p>
                        <p>** not participating in the vaccination campaign or not fully vaccinated.</p>
                    </caption>
                    <graphic id="gr2" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/200264/0dd728c4-ecaf-4aa3-946a-f93f608a6e1b_figure2.gif"/>
                </fig>
                <p>In the chart shown in 
                    <xref ref-type="fig" rid="f2">
Figure 2</xref>, first of all, the statement in the yellow box
                    <strike>&#x2014;</strike>&#x201c;211 COVID deaths among people aged 50 and over&#x201d;&#x2014;is inaccurate. The correct wording would be &#x201c;deaths with SARS-CoV-2 positivity&#x201d; (ascertained at least once over a time interval that, moreover, is never specified). These 211 cases almost certainly include deaths not attributable to COVID-19 (how many, however, cannot be determined from the available information). Consequently, the number of vaccinated and unvaccinated deaths should also be interpreted as &#x201c;deaths with SARS-CoV-2 positivity.&#x201d;</p>
                <p>However, the most substantial error lies in the design of the figure. The perception of risk &#x2013; and thus the conditional probabilities P(death | vaccinated) and P(death | unvaccinated) &#x2013; is driven by the proportions shown in the graph. In the infographic, the yellow circle is disproportionately large relative to the others: while the red circle represents 205,000 people and the green circle 1.9 million, the yellow circle represents only 211 individuals (119&#x00a0;+&#x00a0;92), yet its area is almost the same as that of the red circle. As a result, the visual impression leads the reader to overestimate the relative risk P(death | unvaccinated) over P(death | vaccinated) to an even greater extent than indicated by the numerical values.</p>
            </sec>
        </sec>
        <sec id="sec12">
            <title>Actionable recommendations</title>
            <p>This research emphasizes the need for methodological rigor in both experimental design and statistical analysis. In relation to the points examined throughout the paper, it calls for:
                <list list-type="alpha-lower">
                    <list-item>
                        <label>(a)</label>
                        <p>the implementation of active surveillance on an adequately sized population sample;</p>
                    </list-item>
                    <list-item>
                        <label>(b)</label>
                        <p>longitudinal monitoring and comparison of the health status of two randomized groups, one vaccinated and one unvaccinated (without any injection);</p>
                    </list-item>
                    <list-item>
                        <label>(c)</label>
                        <p>the adoption of an algorithm for causality assessment consistent with the recommendations outlined in 
                            <xref ref-type="bibr" rid="ref20">Deutscher et al. (2024)</xref>.</p>
                    </list-item>
                </list>
            </p>
            <p>Beyond methodological considerations, however, transparency, informational clarity and communicative integrity are equally fundamental in the handling and presentation of statistical data.</p>
        </sec>
        <sec id="sec13" sec-type="conclusion|discussion">
            <title>Conclusion/Discussion</title>
            <p>The collected evidence shows that institutional statistical information on COVID-19 vaccines in Italy displayed systematic imbalances toward overestimating the benefits and safety of vaccination. Errors in the opposite direction cannot be excluded; however, none emerged from our analysis, suggesting the presence of a systematic bias in data production and communication.</p>
            <p>Moreover, as documented by journalistic investigations (see 
                <xref ref-type="bibr" rid="ref11">Baccini et al., 2025</xref>), AIFA repeatedly censored or omitted information relevant to the assessment of the effectiveness and safety of COVID-19 vaccines, which could have raised public concern by challenging the prevailing reassuring narrative. In some cases, internal documents show that the omission of certain data was explicitly motivated by the need to avoid harming the public image of vaccines.</p>
            <p>All these statistical errors and uncertainties also influenced decisions by central health authorities, including the introduction of the EU Digital COVID Certificate (EUDCC) and later the so called &#x201c;Super Green Pass&#x201d;
                <xref ref-type="fn" rid="fn6">
                    <sup>6</sup>
                </xref>, which were based on the assumption that vaccines prevented SARS-CoV-2 infection, despite it being known from the outset that they had not been tested for this purpose. Furthermore, as early as July 2021, a publication by the U.S. Centers for Disease Control and Prevention documented that vaccines neither prevented infection nor reduced transmission (
                <xref ref-type="bibr" rid="ref14">Brown et al., 2021</xref>). Subsequently, in 2023 the EMA
                <xref ref-type="fn" rid="fn7">
                    <sup>7</sup>
                </xref> and, in 2024, AIFA itself acknowledged that approved vaccines did not include an indication for the &#x201c;prevention of transmission of SARS-CoV-2 infection&#x201d;
                <xref ref-type="fn" rid="fn8">
                    <sup>8</sup>
                </xref>.</p>
            <p>This policy brief does not question vaccination campaigns per se, but rather emphasizes the need for methodological rigor, informational clarity, and communicative integrity in support of public health decision-making.</p>
            <p>The statistical errors highlighted in this paper represent only a portion of those we encountered in the course of our analyses. They are so numerous and substantial that it is surprising that the vast majority of the Italian scientific community&#x2013;particularly epidemiologists and statisticians&#x2013;did not notice them or, at the very least, did not feel the need to bring them to public attention.</p>
            <p>As researchers and citizens, we believe that public institutions responsible for collecting and disseminating health data play a crucial role in safeguarding public health. For this reason, serious and repeated errors such as those discussed here should be brought to light, in the hope of encouraging these institutions to operate with greater scientific rigor and transparency and to prevent similar problems in the future.</p>
        </sec>
    </body>
    <back>
        <sec id="sec16" sec-type="data-availability">
            <title>Data availability</title>
            <p>No data associated with this article. Statistics and infographics derived from reports by public institutions and from other scientific publications, all of which are cited in the reference list.</p>
        </sec>
        <ack>
            <title>Acknowledgments</title>
            <p>The authors would like to thank Prof. Michela Baccini for her collaboration during the preliminary phase of this work, Dr. Franco Stocco for his valuable bibliographic suggestions, and the &#x201c;Allineare Sanit&#x00e0; e Salute&#x201d; Foundation.</p>
        </ack>
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                <p>The (U.S.) 
                    <xref ref-type="bibr" rid="ref22">FDA (2011)</xref> emphasizes the importance of communicating absolute risk, rather than relying solely on relative risk, including in the context of risk reduction. Similarly, 
                    <xref ref-type="bibr" rid="ref32">Rifkin and Bouwer (2007)</xref> note that there is broad agreement within the scientific community that the exclusive use of relative risk can distort and often exaggerate the perceived magnitude of health risks and benefits, underscoring the essential role of absolute risk information.</p>
            </fn>
            <fn id="fn2">
                <label>
                    <sup>2</sup>
                </label>
                <p>

                    <ext-link ext-link-type="uri" xlink:href="https://wherearethenumbers.substack.com/p/the-illusion-of-vaccine-efficacy">https://wherearethenumbers.substack.com/p/the-illusion-of-vaccine-efficacy</ext-link>
                </p>
            </fn>
            <fn id="fn3">
                <label>
                    <sup>3</sup>
                </label>
                <p>
                    <xref ref-type="bibr" rid="ref5">AIFA (2023)</xref>.</p>
            </fn>
            <fn id="fn4">
                <label>
                    <sup>4</sup>
                </label>
                <p>
                    <xref ref-type="bibr" rid="ref30">Polack et al. (2020)</xref>, 
                    <xref ref-type="bibr" rid="ref12">Baden et al. (2021)</xref>. Calculations based on differences between vaccine and placebo in grade 3 systemic reactions reported in the tables of the cited studies.</p>
            </fn>
            <fn id="fn5">
                <label>
                    <sup>5</sup>
                </label>
                <p>For a more in-depth review of these critical issues, see 
                    <xref ref-type="bibr" rid="ref11">Baccini et al. (2025)</xref>.</p>
            </fn>
            <fn id="fn6">
                <label>
                    <sup>6</sup>
                </label>
                <p>The Super Green Pass (introduced in Italy in December 2021) was a strengthened version of the EUDCC that could be obtained only by vaccinated or recovered individuals.</p>
            </fn>
            <fn id="fn7">
                <label>
                    <sup>7</sup>
                </label>
                <p>The statement is contained in EMA&#x2019;s webpage about keyfacts on COVID-19 vaccines: 
                    <ext-link ext-link-type="uri" xlink:href="https://www.ema.europa.eu/en/human-regulatory-overview/public-health-threats/coronavirus-disease-covid">https://www.ema.europa.eu/en/human-regulatory-overview/public-health-threats/coronavirus-disease-covid</ext-link> 19/covid-19-medicines/covid-19-vaccines-key-facts#:~:text&#x00a0;=&#x00a0;Are%20COVID%2D19%20vaccine%20authorised,The%20Lancet%20Regional%20Health%20%2D%20Europe and reaffirmed in a reply from EMA to members of the European Parliament who have submitted an inquiry: 
                    <ext-link ext-link-type="uri" xlink:href="https://www.ema.europa.eu/en/documents/other/reply-members-european-parliament-regarding-mrna-covid-19-vaccines_en.pdf">https://www.ema.europa.eu/en/documents/other/reply-members-european-parliament-regarding-mrna-covid-19-vaccines_en.pdf</ext-link>
                </p>
            </fn>
            <fn id="fn8">
                <label>
                    <sup>8</sup>
                </label>
                <p>The statement is contained in AIFA&#x2019;s response to a request for access to administrative records submitted by the association Arbitrium&#x2013;Pronto Soccorso Giuridico: 
                    <ext-link ext-link-type="uri" xlink:href="https://www.ilgiornaleditalia.it/news/salute/634557/aifa-svela-con-tre-anni-di-ritardo-vaccino-covid-infezione.html">https://www.ilgiornaleditalia.it/news/salute/634557/aifa-svela-con-tre-anni-di-ritardo-vaccino-covid-infezione.html</ext-link>
                </p>
            </fn>
        </fn-group>
    </back>
</article>
