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<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">PLoS ONE</journal-id>
<journal-id journal-id-type="publisher-id">plos</journal-id>
<journal-id journal-id-type="pmc">plosone</journal-id>
<journal-title-group>
<journal-title>PLOS ONE</journal-title>
</journal-title-group>
<issn pub-type="epub">1932-6203</issn>
<publisher>
<publisher-name>Public Library of Science</publisher-name>
<publisher-loc>San Francisco, CA USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1371/journal.pone.0255267</article-id>
<article-id pub-id-type="publisher-id">PONE-D-21-14542</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
<subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Diagnostic medicine</subject><subj-group><subject>Virus testing</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Epidemiology</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>People and places</subject><subj-group><subject>Geographical locations</subject><subj-group><subject>Europe</subject><subj-group><subject>European Union</subject><subj-group><subject>Slovakia</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Medical conditions</subject><subj-group><subject>Infectious diseases</subject><subj-group><subject>Viral diseases</subject><subj-group><subject>COVID 19</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>People and places</subject><subj-group><subject>Population groupings</subject><subj-group><subject>Ethnicities</subject><subj-group><subject>European people</subject><subj-group><subject>Slavic people</subject><subj-group><subject>Slovakian people</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Equipment</subject><subj-group><subject>Detectors</subject><subj-group><subject>Biosensors</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Viruses</subject><subj-group><subject>RNA viruses</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Microbiology</subject><subj-group><subject>Medical microbiology</subject><subj-group><subject>Microbial pathogens</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Medicine and health sciences</subject><subj-group><subject>Pathology and laboratory medicine</subject><subj-group><subject>Pathogens</subject><subj-group><subject>Microbial pathogens</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Organisms</subject><subj-group><subject>Viruses</subject><subj-group><subject>Viral pathogens</subject><subj-group><subject>Coronaviruses</subject><subj-group><subject>SARS coronavirus</subject><subj-group><subject>SARS CoV 2</subject></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>People and places</subject><subj-group><subject>Population groupings</subject><subj-group><subject>Professions</subject><subj-group><subject>Medical personnel</subject></subj-group></subj-group></subj-group></subj-group></article-categories>
<title-group>
<article-title>Analysis of the specificity of a COVID-19 antigen test in the Slovak mass testing program</article-title>
<alt-title alt-title-type="running-head">Analysis of the specificity of a COVID-19 antigen test in the Slovak mass testing program</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes" xlink:type="simple">
<name name-style="western">
<surname>Hledík</surname>
<given-names>Michal</given-names>
</name>
<role content-type="https://casrai.org/credit/">Data curation</role>
<role content-type="https://casrai.org/credit/">Formal analysis</role>
<role content-type="https://casrai.org/credit/">Investigation</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Software</role>
<role content-type="https://casrai.org/credit/">Validation</role>
<role content-type="https://casrai.org/credit/">Visualization</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" equal-contrib="yes" xlink:type="simple">
<name name-style="western">
<surname>Polechová</surname>
<given-names>Jitka</given-names>
</name>
<role content-type="https://casrai.org/credit/">Conceptualization</role>
<role content-type="https://casrai.org/credit/">Data curation</role>
<role content-type="https://casrai.org/credit/">Investigation</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Validation</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Beiglböck</surname>
<given-names>Mathias</given-names>
</name>
<role content-type="https://casrai.org/credit/">Conceptualization</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Supervision</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Herdina</surname>
<given-names>Anna Nele</given-names>
</name>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff003"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Strassl</surname>
<given-names>Robert</given-names>
</name>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff003"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">https://orcid.org/0000-0001-8499-8573</contrib-id>
<name name-style="western">
<surname>Posch</surname>
<given-names>Martin</given-names>
</name>
<role content-type="https://casrai.org/credit/">Formal analysis</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Software</role>
<role content-type="https://casrai.org/credit/">Validation</role>
<role content-type="https://casrai.org/credit/">Visualization</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff004"><sup>4</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
</contrib-group>
<aff id="aff001"><label>1</label> <addr-line>Institute of Science and Technology Austria (IST Austria), Klosterneuburg, Austria</addr-line></aff>
<aff id="aff002"><label>2</label> <addr-line>Department of Mathematics, University of Vienna, Vienna, Austria</addr-line></aff>
<aff id="aff003"><label>3</label> <addr-line>Division of Clinical Virology, Department of Laboratory Medicine, Medical University of Vienna, Vienna, Austria</addr-line></aff>
<aff id="aff004"><label>4</label> <addr-line>Center for Medical Statistics, Informatics, and Intelligent Systems, Medical University of Vienna, Vienna, Austria</addr-line></aff>
<contrib-group>
<contrib contrib-type="editor" xlink:type="simple">
<name name-style="western">
<surname>Ito</surname>
<given-names>Etsuro</given-names>
</name>
<role>Editor</role>
<xref ref-type="aff" rid="edit1"/>
</contrib>
</contrib-group>
<aff id="edit1"><addr-line>Waseda University: Waseda Daigaku, JAPAN</addr-line></aff>
<author-notes>
<fn fn-type="conflict" id="coi001">
<p>NO authors have competing interests.</p>
</fn>
<corresp id="cor001">* E-mail: <email xlink:type="simple">martin.posch@meduniwien.ac.at</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>7</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>16</volume>
<issue>7</issue>
<elocation-id>e0255267</elocation-id>
<history>
<date date-type="received">
<day>2</day>
<month>5</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>7</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-year>2021</copyright-year>
<copyright-holder>Hledík et al</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="info:doi/10.1371/journal.pone.0255267"/>
<abstract>
<sec id="sec001">
<title>Aims</title>
<p>Mass antigen testing programs have been challenged because of an alleged insufficient specificity, leading to a large number of false positives. The objective of this study is to derive a lower bound of the specificity of the SD Biosensor Standard Q Ag-Test in large scale practical use.</p>
</sec>
<sec id="sec002">
<title>Methods</title>
<p>Based on county data from the nationwide tests for SARS-CoV-2 in Slovakia between 31.10.–1.11. 2020 we calculate a lower confidence bound for the specificity. As positive test results were not systematically verified by PCR tests, we base the lower bound on a worst case assumption, assuming all positives to be false positives.</p>
</sec>
<sec id="sec003">
<title>Results</title>
<p>3,625,332 persons from 79 counties were tested. The lowest positivity rate was observed in the county of Rožňava where 100 out of 34307 (0.29%) tests were positive. This implies a test specificity of at least 99.6% (97.5% one-sided lower confidence bound, adjusted for multiplicity).</p>
</sec>
<sec id="sec004">
<title>Conclusion</title>
<p>The obtained lower bound suggests a higher specificity compared to earlier studies in spite of the underlying worst case assumption and the application in a mass testing setting. The actual specificity is expected to exceed 99.6% if the prevalence in the respective regions was non-negligible at the time of testing. To our knowledge, this estimate constitutes the first bound obtained from large scale practical use of an antigen test.</p>
</sec>
</abstract>
<funding-group>
<funding-statement>The author(s) received no specific funding for this work.</funding-statement>
</funding-group>
<counts>
<fig-count count="1"/>
<table-count count="1"/>
<page-count count="6"/>
</counts>
<custom-meta-group>
<custom-meta id="data-availability">
<meta-name>Data Availability</meta-name>
<meta-value>The data underlying the results presented in the study are available from Institute for Healthcare Analyses (IZA) of the Ministry of Health of the Slovak Republic on GitHub (<ext-link ext-link-type="uri" xlink:href="https://github.com/Institut-Zdravotnych-Analyz/covid19-data" xlink:type="simple">https://github.com/Institut-Zdravotnych-Analyz/covid19-data</ext-link>).</meta-value>
</custom-meta>
<custom-meta id="outbreaks">
<meta-name>Outbreaks</meta-name>
<meta-value>COVID-19</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="sec005" sec-type="intro">
<title>Introduction</title>
<p>While PCR-tests are usually considered as the gold standard to detect infection with the SARS-CoV-2 coronavirus in terms of sensitivity as well as specificity, antigen tests (Ag-Tests) offer practical advantages in terms of costs, logistics and speed [<xref ref-type="bibr" rid="pone.0255267.ref001">1</xref>]. Because Ag-Tests may play a major role in large scale testing strategies [<xref ref-type="bibr" rid="pone.0255267.ref002">2</xref>, <xref ref-type="bibr" rid="pone.0255267.ref003">3</xref>] in populations with low prevalence, besides their sensitivity also the specificity is of significant interest, especially as resulting low positive prognostic values may lead to confusion and public distrust into the testing strategy. The objective of this study is to obtain a lower bound of the specificity of the SD Biosensor Standard Q Ag-Test based on data of mass tests in Slovakia and infer Ag-Test specificity from a large sample of the general population. The lower bound for the specificity is obtained by making the conservative assumption that potentially all positive results are false positive results. This is in contrast to other studies which use a PCR-test as a reference to estimate sensitivity and specificity of an Ag-Test [<xref ref-type="bibr" rid="pone.0255267.ref004">4</xref>–<xref ref-type="bibr" rid="pone.0255267.ref007">7</xref>].</p>
</sec>
<sec id="sec006" sec-type="materials|methods">
<title>Methods</title>
<p>From late October to early November 2020, Slovakia undertook large scale testing of its population [<xref ref-type="bibr" rid="pone.0255267.ref008">8</xref>]. Participants were tested at specially set up locations by medical personnel via nasopharyngeal swab sampling and received their results after a short waiting period. For testing, the SD Biosensor Standard Q Ag-Test was used [<xref ref-type="bibr" rid="pone.0255267.ref009">9</xref>, <xref ref-type="bibr" rid="pone.0255267.ref010">10</xref>]. The tests in Slovakia were divided into three phases. In the first pilot phase, testing was only conducted in certain particularly affected counties. In Phase 2 (31.10.–1.11.) all Slovak counties were tested. In Phase 3 (6.11.–8.11.) all heavily affected counties (those with &gt; 0.7% prevalence during Phase 2) were tested again. In this retrospective study, we use publicly available data on the outcome of tests in Phase 2 on county level [<xref ref-type="bibr" rid="pone.0255267.ref011">11</xref>]. Participation in testing was voluntary, but it was a condition to avoid quarantine. Persons that were quarantined due to a previous positive PCR-test for COVID-19 or due to being a close contact of such a person were excluded from the test.</p>
</sec>
<sec id="sec007">
<title>Statistics</title>
<p>To derive a lower bound for the specificity we made the conservative (“worst case”) assumption that potentially all positive results constitute false positive results. For each of the 79 counties, we compute the rate of positive tests together with two-sided binomial Clopper-Pearson confidence intervals at the Bonferroni-adjusted significance level of alpha = 0.05/79 (adjusted for the number of counties; see e.g. [<xref ref-type="bibr" rid="pone.0255267.ref012">12</xref>]). The minimum upper bound of these adjusted confidence intervals is an upper 97.5% confidence bound for the test positivity rate. This will be in a county with low disease activity and a large sampled population. Under the conservative assumption that all positive results constitute false positives, it is also an upper bound on the false positive rate of the test and defines a lower bound for the true specificity. Denoting prevalence, sensitivity and specificity by <italic>r</italic>, <italic>s</italic> and <italic>p</italic>, this holds under the assumption that <italic>s</italic> + <italic>p</italic> ≥ 1 (i.e., that the probability of a positive test result is larger for a SARS-COV2 positive than for a SARS-COV2 negative subject). This is fulfilled for any test that performs not strictly worse than chance. Then the overall rate of positive results is given by <italic>q</italic> = <italic>r</italic> s + (1 − <italic>r</italic>)(1 − <italic>p</italic>) and it follows that q ≥ 1 − <italic>p</italic>, where 1 − <italic>p</italic> is the false positive rate of the test. Consequently, 1 − q is a lower bound for the specificity <italic>p</italic>.</p>
</sec>
<sec id="sec008" sec-type="results">
<title>Results</title>
<p>In phase 2, all residents aged 10 to 65 throughout Slovakia were invited to get tested and 3 625 332 participated (about 66% of the population of Slovakia). Among 79 administrative counties of Slovakia, participation rate varied from 39% (Košice III county) to 78% (Senec county) of inhabitants. <xref ref-type="fig" rid="pone.0255267.g001">Fig 1</xref> depicts the test positivity rate of the individual counties ordered according to the upper bound of the simultaneous Bonferroni adjusted 95% confidence interval from low to high incidence. The lowest upper bound (obtained for Rožnava) is 0.40% (see <xref ref-type="table" rid="pone.0255267.t001">Table 1</xref>). In terms of specificity (instead of false positives) this implies that with 97.5% confidence, the specificity of Standard Q is higher than 99.6%. As a sensitivity analysis we also consider the five counties with the lowest upper bound for the positivity rate. All imply specificities above 99.54%. These counties include regions with both relatively low participation rate (Rožňava, Revúca and Veľký Krtíš rank 65., 67. and 57. in participation among the 79 counties) and relatively high participation rate (Bratislava IV and Bratislava III rank 13. and 4.).</p>
<fig id="pone.0255267.g001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0255267.g001</object-id>
<label>Fig 1</label>
<caption>
<title>SARS-CoV-2 antigen detected incidence in Slovakian mass testing by county.</title>
<p>Test positivity rates among the 3 625 332 tested persons in the 79 counties with simultaneous Bonferroni adjusted 95% confidence intervals. Counties are ordered from low to high incidence by the upper confidence bound. Data source: [<xref ref-type="bibr" rid="pone.0255267.ref011">11</xref>]. The corresponding data are tabled in <xref ref-type="supplementary-material" rid="pone.0255267.s001">S1 Table</xref>.</p>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0255267.g001" xlink:type="simple"/>
</fig>
<table-wrap id="pone.0255267.t001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0255267.t001</object-id>
<label>Table 1</label> <caption><title>The five counties with the lowest upper bound on the positivity rate of antigen tests.</title></caption>
<alternatives>
<graphic id="pone.0255267.t001g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0255267.t001" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="justify">County</th>
<th align="justify">Positivity rate upper bound simultaneous 95% CI</th>
<th align="justify">Number of tests</th>
<th align="justify">Number of positive tests</th>
<th align="justify">Participation, % of inhabitants tested</th>
<th align="justify">Population 2019 [<xref ref-type="bibr" rid="pone.0255267.ref013">13</xref>]</th>
</tr>
</thead>
<tbody>
<tr>
<td align="justify">Rožňava</td>
<td align="char" char=".">0.40%</td>
<td align="justify">34307</td>
<td align="justify">100</td>
<td align="justify">55%</td>
<td align="justify">62131</td>
</tr>
<tr>
<td align="justify">Revúca</td>
<td align="char" char=".">0.41%</td>
<td align="justify">21419</td>
<td align="justify">58</td>
<td align="justify">54%</td>
<td align="justify">39537</td>
</tr>
<tr>
<td align="justify">Bratislava IV</td>
<td align="char" char=".">0.43%</td>
<td align="justify">65861</td>
<td align="justify">229</td>
<td align="justify">67%</td>
<td align="justify">97792</td>
</tr>
<tr>
<td align="justify">Bratislava III</td>
<td align="char" char=".">0.45%</td>
<td align="justify">49788</td>
<td align="justify">175</td>
<td align="justify">72%</td>
<td align="justify">69479</td>
</tr>
<tr>
<td align="justify">Veľký Krtíš</td>
<td align="char" char=".">0.46%</td>
<td align="justify">24282</td>
<td align="justify">76</td>
<td align="justify">56%</td>
<td align="justify">43263</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
</sec>
<sec id="sec009" sec-type="conclusions">
<title>Discussion</title>
<p>In this study the lower bound for the specificity of the SD Biosensor Standard Q AG test was 96.4%. This worst case analysis provides only a lower bound of the true specificity since it neglects entirely the true incidence of COVID-19. As the antigen tests in Slovakia were not controlled directly using accompanying PCR-tests, we refrain from an attempt to subdivide the observed positives into true and false positives.</p>
<p>The above estimate is consistent with the information provided by the manufacturer [<xref ref-type="bibr" rid="pone.0255267.ref014">14</xref>], stating 0.32% (0.01, 1.78) as a false positive rate—a very broad CI. The derived upper bound from the mass testing is more informative and appears relevant in that it constitutes the first (to the best of our knowledge) bound obtained from large scale practical use of Standard Q and also suggests better performance of Standard Q compared to previous studies: a large study (with 2347 SARS-CoV-2-free samples based on a PCR-test), suggests a specificity of 99.3% (CI 98.6–99.6) [<xref ref-type="bibr" rid="pone.0255267.ref007">7</xref>]. Other available specificity estimates are based on an order of magnitude smaller samples (99.2% (CI 97.1–99.8) [<xref ref-type="bibr" rid="pone.0255267.ref004">4</xref>] and 100% [<xref ref-type="bibr" rid="pone.0255267.ref006">6</xref>] and, in addition, are from study populations with high incidence rates (according to PCR-testing). A point estimate of 98.53% is given by [<xref ref-type="bibr" rid="pone.0255267.ref005">5</xref>], based on 100 SARS-Cov2-free samples with other respiratory viruses present and 35 samples from healthy volunteers.</p>
<p>Data from Phase 2 was used in this study, because the general countrywide testing was performed irrespective of regional incidence rates, covering also regions with potentially very low incidence. The data has also been used to investigate spatial patterns of the spread of COVID-19 [<xref ref-type="bibr" rid="pone.0255267.ref010">10</xref>] and to demonstrate that both mass-scale testing and restrictive measures contributed to the sharp drop in COVID-19 incidence [<xref ref-type="bibr" rid="pone.0255267.ref009">9</xref>]. However, to avoid a positively biased specificity estimate, compared to [<xref ref-type="bibr" rid="pone.0255267.ref009">9</xref>] we use an updated, more detailed dataset, where an erroneous positivity rate for Bratislava IV has been corrected. The binomial distribution assumption underlying the computation of the Clopper-Pearson confidence intervals, is based on the assumption of independent events that could be violated if, e.g. testing stations were operating with different quality. However, the Bonferroni-correction is a strictly conservative approach to derive simultaneous confidence bounds that account for the selection of the county with the lowest upper bound to derive the estimate. It is well understood in the epidemiology literature that imperfect reference criteria lead to a systematic bias of the true incidence [<xref ref-type="bibr" rid="pone.0255267.ref015">15</xref>]. Specifically, the sensitivity and specificity of tests are systematically underestimated if the criterion (SARS-CoV-2 infection) cannot be assessed directly and tests are compared to a surrogate criterion as gold standard which is subject to errors. This could be a contributing factor for the relatively higher specificity found in Slovak data compared to other studies. However, there are other conceivable factors that could bias the results: different quality of swab sampling and handling, low temperature in outdoor testing stations, deviations in the production over time and data quality.</p>
<p>While the analysis is based on a worst case assumption, considering all positives to be false positives, the obtained estimate appears relevant in that it constitutes the first bound obtained from large scale practical use of Standard Q. It suggests better specificity of Standard Q compared to previous studies and these findings can support the planning and justification of future mass testing programs. Besides test specificity, the sensitivity is essential for the evaluation of the overall utility of mass testing strategies. Unfortunately, based on the mass testing data set no estimate of the test sensitivity can be obtained and, to our knowledge, no sensitivity estimates have been provided in a mass-testing setting so far such that further studies are needed.</p>
</sec>
<sec id="sec010" sec-type="supplementary-material">
<title>Supporting information</title>
<supplementary-material id="pone.0255267.s001" mimetype="application/pdf" position="float" xlink:href="info:doi/10.1371/journal.pone.0255267.s001" xlink:type="simple">
<label>S1 Table</label>
<caption>
<title>County, number of tests, number of positive tests, positivity rates, simultaneous Bonferroni adjusted 95% confidence intervals, and standard errors of the positivity rates in the 79 counties.</title>
<p>Counties are ordered from low to high incidence by the upper confidence bound. Data source [<xref ref-type="bibr" rid="pone.0255267.ref011">11</xref>].</p>
<p>(PDF)</p>
</caption>
</supplementary-material>
</sec>
</body>
<back>
<ack>
<p>We would like to thank Alfred Uhl, Richard Kollár and Katarína Bod’ová for very helpful comments. We also thank Matej Mišík for discussion and information regarding the Slovak testing data and Ag-Test used.</p>
</ack>
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<p>PONE-D-21-14542</p>
<p>Analysis of the specificity of a COVID-19 antigen test in the Slovak mass testing program</p>
<p>PLOS ONE</p>
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<p>Reviewer #1: Yes</p>
<p>**********</p>
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<p>Reviewer #1: Yes</p>
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<p>Reviewer #1: In presenting argument in the introduction that antibody testing can be an alternative for RT-CPR, it may be helpful to note that the test evaluates different things: active infection vs history of infection (including current), with different delays between tests being positive (longer for serology). This reviewer agrees that serology can be a very attractive alternative for reasons cited by the authors, but additional caveats other than SN (sensitivity) and SP (specificity) related to meaning of the test in terms of inference of onset of incident infection should be clearly presented.</p>
<p>Can you please be clearer in the introduction how your approach is “in contrast to other studies which use a PCR-test as a reference to estimate sensitivity and specificity of an Ag-Test4”?</p>
<p>One alternative to Bonferroni correction that seems appealing to this reviewer is to model rate of positive tests using binomial regression with random effect of county, and maybe some fixed effects that can account for rate of positive tests, such as numbers quarantined per county, positivity rates from Phase 1, age structure, economic indicators, percent of county tested, outdoor temperature, count/proportion of outdoor test sites, date of test (the usual confounders in epidemiology that can affect both willingness to test and chance of having been infected plus those mentioned in the discussion by the authors). The fixed intercept of the model would overall rate of positive tests and can be made county-specific through use of other random and fixed covariates; upper percentile of these modelled estimates can be used authors did with their Bonferroni-adjusted confidence interval. One may be also tempted to model spatial correlation, if descriptive statistics support its existence.</p>
<p>Instead of just giving upper bound of 95%CI, it would be more informative to give both the estimate per county and associated standard error. This should allow anyone to estimate different percentile if for their purposes 97.5% is not appropriate. This may already be in the supplemental materials, so maybe this is just a matter of pointing the reader in the right direction.</p>
<p>**********</p>
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<p>Reviewer #1: <bold>Yes: </bold>Igor Burstyn</p>
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<p>We thank the referee for the helpful remarks and revised the manuscript accordingly. In addition, we added a table with all estimates in the supporting information and formatted the document according to the PLOS ONE formatting guidelines. Please see the submitted point to point answer for details.</p>
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<named-content content-type="letter-date">14 Jul 2021</named-content>
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<p>Analysis of the specificity of a COVID-19 antigen test in the Slovak mass testing program</p>
<p>PONE-D-21-14542R1</p>
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<p>
<named-content content-type="letter-date">21 Jul 2021</named-content>
</p>
<p>PONE-D-21-14542R1 </p>
<p>Analysis of the specificity of a COVID-19 antigen test in the Slovak mass testing program </p>
<p>Dear Dr. Posch:</p>
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