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We introduce a simple tool to control for false discoveries and identify individual signals in scenarios involving many tests, dependent test statistics, and potentially sparse signals. The tool applies the Cauchy combination test…

Econometrics · Economics 2023-06-02 Nabil Bouamara , Sébastien Laurent , Shuping Shi

In many statistical problems the hypotheses are naturally divided into groups, and the investigators are interested to perform group-level inference, possibly along with inference on individual hypotheses. We consider the goal of…

Statistics Theory · Mathematics 2021-05-20 Marina Bogomolov

When testing for superiority in a parallel-group setting with a continuous outcome, adjusting for covariates (e.g., baseline measurements) is usually recommended, in order to reduce bias and increase power. For this purpose, the analysis of…

Methodology · Statistics 2020-04-28 Georg Zimmermann , Meinhard Kieser , Arne Bathke

The asymptotically optimal hypothesis testing problem with the general sources as the null and alternative hypotheses is studied under exponential-type error constraints on the first kind of error probability. Our fundamental philosophy in…

Probability · Mathematics 2007-05-23 Te Sun Han

We live in unprecedented times in terms of our ability to use evidence to inform medical care. For example, we can perform data-driven post-test probability calculations. However, there is work to do. As has been previously noted,…

Other Statistics · Statistics 2025-07-29 Samuel J. Weisenthal , Amit K. Chowdhry

This note investigates a number of scenarios in which unadjusted testing following a blinded sample size re-estimation leads to type I error violations. For superiority testing, this occurs in certain small-sample borderline cases. We…

Methodology · Statistics 2013-01-18 Ekkehard Glimm , Jürgen Läuter

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

Statistics Theory · Mathematics 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

Treatment specific survival curves are an important tool to illustrate the treatment effect in studies with time-to-event outcomes. In non-randomized studies, unadjusted estimates can lead to biased depictions due to confounding. Multiple…

Methodology · Statistics 2023-04-25 Robin Denz , Renate Klaaßen-Mielke , Nina Timmesfeld

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

Methodology · Statistics 2019-08-20 Kartik Ahuja , Mihaela van der Schaar

Fitting models with high predictive accuracy that include all relevant but no irrelevant or redundant features is a challenging task on data sets with similar (e.g. highly correlated) features. We propose the approach of tuning the…

Machine Learning · Statistics 2022-03-23 Andrea Bommert , Jörg Rahnenführer , Michel Lang

Cross-level interactions among fixed effects in linear mixed models (also known as multilevel models) are often complicated by the variances stemming from random effects and residuals. When these variances change across clusters, tests of…

Methodology · Statistics 2022-03-18 Ting Wang , Edgar C. Merkle , Joaquin A. Anguera , Brandon M. Turner

The weighted kappa coefficient of a binary diagnostic test is a measure of the beyond-chance agreement between the diagnostic test and the gold standard, and depends on the sensitivity and specificity of the diagnostic test, on the disease…

Other Statistics · Statistics 2024-09-02 Jose Antonio Roldan-Nofuentes , Saad bouh Sidaty-regad

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

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

Combining dependent p-values poses a long-standing challenge in statistical inference, particularly when aggregating findings from multiple methods to enhance signal detection. Recently, p-value combination tests based on regularly…

Methodology · Statistics 2025-04-22 Lin Gui , Yuchao Jiang , Jingshu Wang

New tests are developed for two-way ANOVA models with heterogeneous error variances. The testing problems are considered for testing the significant interaction effects, simple effects, and treatment effects. The likelihood ratio tests…

Methodology · Statistics 2026-03-02 Anjana Mondal , Somesh Kumar

Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

Statistics Theory · Mathematics 2009-08-12 Angelika Rohde

A common goal in clinical trials is to conduct tests on estimated treatment effects adjusted for covariates such as age or sex. Analysis of Covariance (ANCOVA) is often used in these scenarios to test the global null hypothesis of no…

Methodology · Statistics 2024-04-24 Matthias Becher , Ludwig A. Hothorn , Frank Konietschke

Testing between hypotheses, when independent sampling is possible, is a well developed subject. In this paper, we propose hypothesis tests that are applicable when the samples are obtained using Markov chain Monte Carlo. These tests are…

Methodology · Statistics 2015-08-14 Benjamin M. Gyori , Daniel Paulin

In the field of NLP, Large Language Models (LLMs) have markedly enhanced performance across a variety of tasks. However, the comprehensive evaluation of LLMs remains an inevitable challenge for the community. Recently, the adoption of…

Computation and Language · Computer Science 2024-12-09 Haochun Wang , Sendong Zhao , Zewen Qiang , Nuwa Xi , Bing Qin , Ting Liu
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