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This study aims to investigate the effects of violations of the sphericity assumption on Type I error rates for different methodical approaches of repeated measures analysis using a simulation approach. In contrast to previous simulation…

Applications · Statistics 2017-04-26 Nicolas Haverkamp , Andre Beauducel

The Birnbaum-Saunders regression model is commonly used in reliability studies. We address the issue of performing inference in this class of models when the number of observations is small. We show that the likelihood ratio test tends to…

Methodology · Statistics 2009-11-25 Artur J. Lemonte , Silvia L. P. Ferrari , Francisco Cribari-Neto

Machine learning methods are increasingly applied in medical imaging, yet many reported improvements lack statistical robustness: recent works have highlighted that small but significant performance gains are highly likely to be false…

Machine Learning · Computer Science 2025-11-05 Thomas Sanchez , Pedro M. Gordaliza , Meritxell Bach Cuadra

We put forward an adaptive alpha (Type I Error) that decreases as the information grows, for hypothesis tests in which nested linear models are compared. A less elaborate adaptation was already presented in \citet{PP2014} for comparing…

Methodology · Statistics 2021-01-06 D. Vélez , M. E. Pérez , L. R. Pericchi

Generalized linear models are often misspecified due to overdispersion, heteroscedasticity and ignored nuisance variables. Existing quasi-likelihood methods for testing in misspecified models often do not provide satisfactory type-I error…

Methodology · Statistics 2020-05-13 Jesse Hemerik , Jelle J Goeman , Livio Finos

We investigate saddlepoint approximations applied to the score test statistic in genome-wide association studies with binary phenotypes. The inaccuracy in the normal approximation of the score test statistic increases with increasing sample…

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

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

Methodology · Statistics 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

In empirical work it is common to estimate parameters of models and report associated standard errors that account for "clustering" of units, where clusters are defined by factors such as geography. Clustering adjustments are typically…

Statistics Theory · Mathematics 2022-09-21 Alberto Abadie , Susan Athey , Guido Imbens , Jeffrey Wooldridge

In many large multiple testing problems the hypotheses are divided into families. Given the data, families with evidence for true discoveries are selected, and hypotheses within them are tested. Neither controlling the error-rate in each…

Statistics Theory · Mathematics 2011-06-21 Yoav Benjamini , Marina Bogomolov

Evaluating machine learning models is crucial not only for determining their technical accuracy but also for assessing their potential societal implications. While the potential for low-sample-size bias in algorithms is well known, we…

Machine Learning · Computer Science 2025-05-08 Jarren Briscoe , Garrett Kepler , Daryl Deford , Assefaw Gebremedhin

This paper describes types of errors arising in a recently proposed method of incidence estimation from prevalence data. The errors are illustrated by a simulation study about a hypothetical irreversible disease. In addition, a way of…

Populations and Evolution · Quantitative Biology 2014-10-06 Ralph Brinks

This work revisits optimal response-adaptive designs from a type-I error rate perspective, highlighting when and how much these allocations exacerbate type-I error rate inflation - an issue previously undocumented. We explore a range of…

Methodology · Statistics 2025-09-09 Lukas Pin , Sofía S. Villar , William F. Rosenberger

Suppose data are fitted to some parametric model but that the true model happens to be one with an additional parameter. When a parameter is to be estimated one can use likelihood estimation in the wider model or in the narrow model.…

Methodology · Statistics 2026-03-27 Nils Lid Hjort

This paper studies distributed binary test of statistical independence under communication (information bits) constraints. While testing independence is very relevant in various applications, distributed independence test is particularly…

Statistics Theory · Mathematics 2021-11-29 Sebastian Espinosa , Jorge F. Silva , Pablo Piantanida

This article reviews bias-correction models for measurement error of exposure variables in the field of nutritional epidemiology. Measurement error usually attenuates estimated slope towards zero. Due to the influence of measurement error,…

Methodology · Statistics 2020-07-14 Huimin Peng

In multiple testing scenarios, typically the sign of a parameter is inferred when its estimate exceeds some significance threshold in absolute value. Typically, the significance threshold is chosen to control the experimentwise type I error…

Methodology · Statistics 2018-01-03 Chaoyu Yu , Peter D. Hoff

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

Recent research has generated hope that inference scaling, such as resampling solutions until they pass verifiers like unit tests, could allow weaker models to match stronger ones. Beyond inference, this approach also enables training…

Machine Learning · Computer Science 2026-03-27 Benedikt Stroebl , Sayash Kapoor , Arvind Narayanan

Nonlinear longitudinal proportional effect models have been proposed to improve power and provide direct estimates of the proportional treatment effect in randomized clinical trials. These models assume a fixed proportional treatment effect…

Methodology · Statistics 2026-01-23 Michael C. Donohue , Philip S. Insel , Oliver Langford