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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

The severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) pandemic has emphasized the importance and challenges of correctly interpreting antibody test results. Identification of positive and negative samples requires a…

Quantitative Methods · Quantitative Biology 2023-04-26 Rayanne A. Luke , Anthony J. Kearsley , Nora Pisanic , Yukari C. Manabe , David L. Thomas , Christopher D. Heaney , Paul N. Patrone

With medical tests becoming increasingly available, concerns about over-testing and over-treatment dramatically increase. Hence, it is important to understand the influence of testing on treatment selection in general practice. Most…

Methodology · Statistics 2020-08-11 Yun Li , Irina Bondarenko , Michael R. Elliott , Timothy P. Hofer , Jeremy M. G. Taylor

Considerable interest has recently been focused on studying multiple phenotypes simultaneously in both epidemiological and genomic studies, either to capture the multidimensionality of complex disorders or to understand shared etiology of…

Methodology · Statistics 2015-11-26 Denis Agniel , Katherine P. Liao , Tianxi Cai

Formulating accurate and robust classification strategies is a key challenge of developing diagnostic and antibody tests. Methods that do not explicitly account for disease prevalence and uncertainty therein can lead to significant…

Methodology · Statistics 2022-02-01 Paul N. Patrone , Anthony J. Kearsley

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

A common problem in health research is that we have a large database with many variables measured on a large number of individuals. We are interested in measuring additional variables on a subsample; these measurements may be newly…

Methodology · Statistics 2022-03-22 Thomas Lumley , Tong Chen

Test-time augmentation -- the aggregation of predictions across transformed versions of a test input -- is a common practice in image classification. Traditionally, predictions are combined using a simple average. In this paper, we present…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Divya Shanmugam , Davis Blalock , Guha Balakrishnan , John Guttag

A consolidating method for analyzing series of observations based on a fitted model of a mixture of catalysts of the main components is proposed, which makes it possible to study any number of markers. Contrasting the longitudinal approach,…

Methodology · Statistics 2023-04-12 Anastasia Grigoreva , Andrey Trufanov , Stanislav Grigorev

In multi-center clinical trials, due to various reasons, the individual-level data are strictly restricted to be assessed publicly. Instead, the summarized information is widely available from published results. With the advance of…

Methodology · Statistics 2021-01-05 Jing Qin , Yukun Liu , Pengfei Li

For many conditions, it is of clinical importance to know not just the ability of a test to distinguish between those with and without the disease, but also the sensitivity to detect disease at different stages: in particular, the test's…

Methodology · Statistics 2026-02-10 Efthymia Derezea , Nicky J Welton , Gabriel Rogers , Hayley E Jones

The practice of pooling several individual test statistics to form aggregate tests is common in many statistical application where individual tests may be underpowered. While selection by aggregate tests can serve to increase power, the…

Methodology · Statistics 2020-12-08 Ruth Heller , Amit Meir , Nilanjan Chatterjee

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

In a randomised clinical trial, when the result of the primary endpoint shows a significant benefit, the secondary endpoints are scrutinised to identify additional effects of the treatment. However, this approach entails a risk of…

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

Binary observations are often repeated to improve data quality, creating technical replicates. Several scoring methods are commonly used to infer the actual individual state and obtain a probability for each state. The common practice of…

Methodology · Statistics 2025-01-24 Manuela Royer-Carenzi , Hadrien Lorenzo , Pierre Pudlo

We describe group sequential tests which efficiently incorporate information from multiple endpoints allowing for early stopping at pre-planned interim analyses. We formulate a testing procedure where several outcomes are examined, and…

Methodology · Statistics 2024-05-09 Abigail J. Burdon , Thomas Jaki

In clinical studies upon which decisions are based there are two types of errors that can be made: a type I error arises when the decision is taken to declare a positive outcome when the truth is in fact negative, and a type II error arises…

Methodology · Statistics 2024-09-19 Andrew P Grieve

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

Methodology · Statistics 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

We introduce a new multiple type I error criterion for clinical trials with multiple populations. Such trials are of interest in precision medicine where the goal is to develop treatments that are targeted to specific sub-populations…

Methodology · Statistics 2021-02-05 Werner Brannath , Charlie Hillner , Kornelius Rohmeyer
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