The Impossibility of 100% Specificity in Rapid Diagnostic Test Reporting

Authors

DOI:

https://doi.org/10.52609/jmlph.v6i4.318

Keywords:

Bayes’ Theorem, Confidence Intervals, Point-Of-Care Testing, Predictive Value of Tests, Sensitivity and Specificity, Statistics as Topic

Abstract

Background: In commercial materials for rapid diagnostic tests, it is still common to find claims of “100% specificity”. From a statistical and epistemological point of view, this kind of statement is deeply problematic.

Aims: This paper examines how justified those claims really are and what they mean in concrete clinical and public health settings.

Methods: We analyze the statistical foundations of specificity estimation, apply the Mayo-Spanos severity framework, and review three commercial rapid antigen test listings to illustrate reporting practices.

Results: Claims of 100% specificity are either logically falsified by observed false positives or unsupported by finite validation samples. The rule of three shows that zero false positives in n negatives only rule out a false-positive rate above 3/n. Severity analysis reveals that even with 210 negative samples, the claim that specificity >99.5% is supported with only 65% severity. In low-prevalence settings, assuming 100% specificity inflates positive predictive value (PPV) from 66% to 100%.

Conclusion: Reporting 100% specificity is scientifically untenable. Regulatory and editorial standards could realistically require confidence intervals and, at the very least, discourage unqualified point estimates.

References

Bossuyt PM, Reitsma JB, Bruns DE, Gatsonis CA, Glasziou PP, Irwig L, Lijmer JG, Moher D, Rennie D, de Vet HCW, Kressel HY, Rifai N, Golub RM, Altman DG, Hooft L, Korevaar DA, Cohen JF for the STARD Group. STARD 2015: an updated list of essential items for reporting diagnostic accuracy studies. BMJ. 2015;351:h5527. doi: 10.1136/bmj.h5527.

European Centre for Disease Prevention and Control. Options for the use of rapid antigen tests for COVID-19 in the EU/EEA and the UK. Stockholm: ECDC; 2020 Nov 19. 33 p.

Xie JW, He Y, Zheng YW, Wang M, Lin Y, Lin LR. Diagnostic accuracy of rapid antigen test for SARS-CoV-2: a systematic review and meta-analysis of 166,943 suspected COVID-19 patients. Microbiol Res. 2022;265:127185. doi: 10.1016/j.micres.2022.127185.

Agresti A, Coull BA. Approximate is better than “exact” for interval estimation of binomial proportions. Am Stat. 1998;52(2):119–26. doi: 10.1080/00031305.1998.10480550.

Brown LD, Cai TT, DasGupta A. Interval estimation for a binomial proportion. Stat Sci. 2001;16(2):101–33. doi: 10.1214/ss/1009213286.

Hanley JA, Lippman-Hand A. If nothing goes wrong, is everything all right? Interpreting zero numerators. JAMA. 1983;249(13):1743–5. doi: 10.1001/jama.1983.03330370053031

Mayo DG. Statistical inference as severe testing: how to get beyond the statistics wars. Cambridge: Cambridge University Press; 2018. 486 p.

Mayo DG, Spanos A. Severe testing as a basic concept in a Neyman-Pearson philosophy of induction. Br J Philos Sci. 2006;57(2):323–57. doi: 10.1093/bjps/axl003.

Mayo DG, Spanos A. Error statistics. In: Bandyopadhyay PS, Forster MR, editors. Philosophy of statistics. Amsterdam: Elsevier; 2011. p. 153–98. doi: 10.1016/B978-0-444-51862-0.50005-8.

Dinnes J, Deeks JJ, Adriano A, Berhane S, Davenport C, Dittrich S, Taylor M, Emperador D, Takwoingi Y, Cunningham J, Beese S, Domen J, Dretzke J, Ferrante di Ruffano L, Harris IM, Price MJ, Taylor-Phillips S, Hooft L, Leeflang MMG, McInnes MDF, Spijker R, Van den Bruel A, Arevalo-Rodriguez I, Buitrago DC, Ciapponi A, Mateos M, Stuyf T, Horn S, Salameh JP, McGrath TA, van der Pol CB, Frank RA, Prager R, Hare SS, Dennie C, Jenniskens K, Korevaar DA, Cohen JF, van de Wijgert J, Damen JAAG, Wang J, Agarwal R, Baldwin S, Herd C, Kristunas C, Quinn L, Scholefield B. Rapid, point-of-care antigen and molecular-based tests for diagnosis of SARS-CoV-2 infection. Cochrane Database Syst Rev. 2021;3(3):CD013705. doi: 10.1002/14651858.CD013705.pub3.

World Health Organization. Antigen-detection in the diagnosis of SARS-CoV-2 infection: interim guidance. Geneva: WHO; 2021 Oct 6. 13 p.

European Parliament and Council of the European Union. Regulation (EU) 2017/746 of the European Parliament and of the Council of 5 April 2017 on in vitro diagnostic medical devices. Official Journal of the European Union. 2017 May 5;L117:176–332.

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Published

2026-08-28

How to Cite

Martínez, J. A. (2026). The Impossibility of 100% Specificity in Rapid Diagnostic Test Reporting. The Journal of Medicine, Law & Public Health, 6(4), 1052–1060. https://doi.org/10.52609/jmlph.v6i4.318