Open Access
May 2022 Statistical Modeling for Practical Pooled Testing During the COVID-19 Pandemic
Saskia Comess, Hannah Wang, Susan Holmes, Claire Donnat
Author Affiliations +
Statist. Sci. 37(2): 229-250 (May 2022). DOI: 10.1214/22-STS857


Pooled testing offers an efficient solution to the unprecedented testing demands of the COVID-19 pandemic, despite their potentially lower sensitivity and increased costs to implementation in certain settings. Assessments of this trade-off typically assume the underlying infection statuses of pooled specimens to be independent and identically distributed. Yet, in the context of COVID-19, these assumptions are often violated: testing done on networks (housemates, spouses, co-workers) captures individuals with correlated infection statuses and risk, while infection risk varies substantially across time, place and individuals. Neglecting dependencies and heterogeneity may bias established optimality grids and induce a sub-optimal implementation of the procedure. As a lesson learned from this pandemic, this paper highlights the necessity of integrating field sampling information with statistical modeling to efficiently optimize pooled testing. Using real data, we show that (a) greater gains can be achieved at low logistical cost by exploiting natural correlations (nonindependence) between samples—allowing improvements in sensitivity and efficiency of up to 30% and 90%, respectively; and (b) these gains are robust despite substantial heterogeneity across pools (nonidentical). Our modeling results complement and extend the observations of Barak et al. (Sci. Transl. Med. 13 (2021) 1–8) who report an empirical sensitivity well beyond expectations. Finally, we provide an interactive tool for selecting an optimal pool size using contextual information.11


1 The corresponding shiny-app interface is available at:


The authors would like to thank Dr. Benjamin Pinsky (Associate Professor of Pathology and Medicine at Stanford University) for sharing data and for his feedback on the manuscript.


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Saskia Comess. Hannah Wang. Susan Holmes. Claire Donnat. "Statistical Modeling for Practical Pooled Testing During the COVID-19 Pandemic." Statist. Sci. 37 (2) 229 - 250, May 2022.


Published: May 2022
First available in Project Euclid: 16 May 2022

MathSciNet: MR4422306
zbMATH: 07535201
Digital Object Identifier: 10.1214/22-STS857

Keywords: Correlations , Covid-19 , Heterogeneity , pooled testing

Rights: Copyright © 2022 Institute of Mathematical Statistics

Vol.37 • No. 2 • May 2022
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