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We develop a statistical model for the testing of disease prevalence in a population. The model assumes a binary test result, positive or negative, but allows for biases in sample selection and both type I (false positive) and type II…

Applications · Statistics 2021-12-28 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

COVID-19 testing has become a standard approach for estimating prevalence which then assist in public health decision making to contain and mitigate the spread of the disease. The sampling designs used are often biased in that they do not…

Methodology · Statistics 2022-02-24 Daniel Andrés Díaz-Pachón , J Sunil Rao

Countries officially record the number of COVID-19 cases based on medical tests of a subset of the population with unknown participation bias. For prevalence estimation, the official information is typically discarded and, instead, small…

Methodology · Statistics 2020-12-25 Stéphane Guerrier , Christoph Kuzmics , Maria-Pia Victoria-Feser

The topic of this paper is prevalence estimation from the perspective of active information. Prevalence among tested individuals has an upward bias under the assumption that individuals' willingness to be tested for the disease increases…

Methodology · Statistics 2022-06-13 Ola Hössjer , Daniel Andrés Díaz-Pachón , Chen Zhao , J. Sunil Rao

We propose a partial identification method for estimating disease prevalence from serology studies. Our data are results from antibody tests in some population sample, where the test parameters, such as the true/false positive rates, are…

Methodology · Statistics 2020-06-30 Panos Toulis

Estimating prevalence, the fraction of a population with a certain medical condition, is fundamental to epidemiology. Traditional methods rely on classification of test samples taken at random from a population. Such approaches to…

Methodology · Statistics 2022-03-25 Paul Patrone , Anthony Kearsley

U.S. state education agencies mark schools displaying achievement gaps between demographic subgroups as needing improvement. Some schools may have few students in these subgroups, such that average end-of-year test scores only noisily…

Methodology · Statistics 2025-12-10 Joshua Wasserman , Michael R. Elliott , Ben B. Hansen

We consider real-time timely tracking of infection status (e.g., covid-19) of individuals in a population. In this work, a health care provider wants to detect infected people as well as people who have recovered from the disease as quickly…

Information Theory · Computer Science 2022-06-15 Melih Bastopcu , Sennur Ulukus

Estimating the prevalence of a disease is necessary for evaluating and mitigating risks of its transmission within or between populations. Estimates that consider how prevalence changes with time provide more information about these risks…

Applications · Statistics 2021-11-12 Braden Scherting , Alison Peel , Raina Plowright , Andrew Hoegh

Estimating the prevalence of a category in a population using imperfect measurement devices (diagnostic tests, classifiers, or large language models) is fundamental to science, public health, and online trust and safety. Standard approaches…

Artificial Intelligence · Computer Science 2026-04-24 Fridolin Linder , Thomas Leeper , Daniel Haimovich , Niek Tax , Lorenzo Perini , Milan Vojnovic

Large-scale testing is considered key to assess the state of the current COVID-19 pandemic. Yet, the link between the reported case numbers and the true state of the pandemic remains elusive. We develop mathematical models based on…

Applications · Statistics 2021-02-04 Michel Besserve , Simon Buchholz , Bernhard Schölkopf

Cross-sectional incidence estimation based on recency testing has become a widely used tool in HIV research. Recently, this method has gained prominence in HIV prevention trials to estimate the "placebo" incidence that participants might…

Methodology · Statistics 2024-12-18 Jianan Pan , Marlena Bannick , Fei Gao

It is crucial for policymakers to understand the community prevalence of COVID-19 so combative resources can be effectively allocated and prioritized during the COVID-19 pandemic. Traditionally, community prevalence has been assessed…

I propose novel partial identification bounds on infection prevalence from information on test rate and test yield. The approach utilizes user-specified bounds on (i) test accuracy and (ii) the extent to which tests are targeted, formalized…

Econometrics · Economics 2024-07-03 Jörg Stoye

The spread of COVID-19 makes it essential to investigate its prevalence. In such investigation research, as far as we know, the widely-used sampling methods didn't use the information sufficiently about the numbers of the previously…

Applications · Statistics 2022-01-04 Ze Liu , Siyu Yi , Jianghu , Dong , Min-Qian Liu , Yongdao Zhou

There have been reports of correlation between estimates of prevalence and test accuracy across studies included in diagnostic meta-analyses. It has been hypothesized that this unexpected association arises because of certain biases…

Methodology · Statistics 2025-08-15 Yang Lu , Robert Platt , Nandini Dendukuri

In the last months, due to the emergency of Covid-19, questions related to the fact of belonging or not to a particular class of individuals (`infected or not infected'), after being tagged as `positive' or `negative' by a test, have never…

Populations and Evolution · Quantitative Biology 2020-11-23 Giulio D'Agostini , Alfredo Esposito

An accurate multiclass classification strategy is crucial to interpreting antibody tests. However, traditional methods based on confidence intervals or receiver operating characteristics lack clear extensions to settings with more than two…

Quantitative Methods · Quantitative Biology 2024-05-07 Rayanne A. Luke , Anthony J. Kearsley , Paul N. Patrone

We propose a monitoring strategy for efficient and robust estimation of disease prevalence and case numbers within closed and enumerated populations such as schools, workplaces, or retirement communities. The proposed design relies largely…

Methodology · Statistics 2024-04-22 Robert H. Lyles , Yuzi Zhang , Lin Ge , Lance A. Waller

The COVID-19 pandemic poses challenges for continuing economic activity while reducing health risks. While these challenges can be mitigated through testing, testing budget is often limited. Here we study how institutions, such as nursing…

Physics and Society · Physics 2021-01-05 Janni Yuval , Mor Nitzan , Neta Ravid Tannenbaum , Boaz Barak
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