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The use of patient-level information from previous studies, registries, and other external datasets can support the analysis of single-arm and randomized controlled trials to evaluate and test experimental treatments. However, the…

Methodology · Statistics 2025-10-23 Gopal Kotecha , Daniel E. Schwartz , Steffen Ventz , Lorenzo Trippa

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

Statistics Theory · Mathematics 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

As a crucial problem in statistics is to decide whether additional variables are needed in a regression model. We propose a new multivariate test to investigate the conditional mean independence of Y given X conditioning on some known…

Statistics Theory · Mathematics 2018-05-18 Ze Jin , Xiaohan Yan , David S. Matteson

Applied researchers are increasingly interested in whether and how treatment effects vary in randomized evaluations, especially variation not explained by observed covariates. We propose a model-free approach for testing for the presence of…

Methodology · Statistics 2014-12-17 Peng Ding , Avi Feller , Luke Miratrix

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

Machine Learning · Statistics 2026-03-18 Saksham Jain , Alex Luedtke

We investigate the sample complexity of mutual information and conditional mutual information testing. For conditional mutual information testing, given access to independent samples of a triple of random variables $(A, B, C)$ with unknown…

Data Structures and Algorithms · Computer Science 2025-06-05 Jan Seyfried , Sayantan Sen , Marco Tomamichel

We consider the problem of testing independence in mixed-type data that combine count variables with positive, absolutely continuous variables. We first introduce two distinct classes of test statistics in the bivariate setting, designed to…

Methodology · Statistics 2025-07-29 Dana Bucalo Jelić , Marija Cuparić , Bojana Milošević

In this paper we study the problems of estimating heterogeneity in causal effects in experimental or observational studies and conducting inference about the magnitude of the differences in treatment effects across subsets of the…

Machine Learning · Statistics 2022-06-08 Susan Athey , Guido Imbens

This paper develops a model-free sequential test for conditional independence. The proposed test allows researchers to analyze an incoming i.i.d. data stream with any arbitrary dependency structure, and safely conclude whether a feature is…

Methodology · Statistics 2023-02-21 Shalev Shaer , Gal Maman , Yaniv Romano

For testing two random vectors for independence, we consider testing whether the distance of one vector from a center point is independent from the distance of the other vector from a center point by a univariate test. In this paper we…

Methodology · Statistics 2016-03-11 Ruth Heller , Yair Heller

This study considers testing the specification of spillover effects in causal inference. We focus on experimental settings in which the treatment assignment mechanism is known to researchers. We develop a new randomization test utilizing a…

Methodology · Statistics 2023-12-27 Tadao Hoshino , Takahide Yanagi

The model-X conditional randomization test is a generic framework for conditional independence testing, unlocking new possibilities to discover features that are conditionally associated with a response of interest while controlling type-I…

Machine Learning · Computer Science 2023-02-21 Shalev Shaer , Yaniv Romano

What proportion of treated units actually benefited from an experimental intervention? What is the median or the largest individual treatment effect? This paper develops methods for answering such questions about the distribution of…

Methodology · Statistics 2026-05-11 David Kim , Yongchang Su , Jake Bowers , Xinran Li

Some patients benefit from a treatment while others may do so less or do not benefit at all. We have previously developed a two-stage network meta-regression prediction model that synthesized randomized trials and evaluates how treatment…

We are concerned with testing replicability hypotheses for many endpoints simultaneously. This constitutes a multiple test problem with composite null hypotheses. Traditional $p$-values, which are computed under least favourable parameter…

Methodology · Statistics 2020-02-26 Anh-Tuan Hoang , Thorsten Dickhaus

Randomized trials typically estimate average relative treatment effects, but decisions on the benefit of a treatment are possibly better informed by more individualized predictions of the absolute treatment effect. In case of a binary…

Methodology · Statistics 2021-08-20 J Hoogland , J IntHout , M Belias , MM Rovers , RD Riley , FE Harrell , KGM Moons , TPA Debray , JB Reitsma

We study properties of two resampling scenarios: Conditional Randomisation and Conditional Permutation schemes, which are relevant for testing conditional independence of discrete random variables $X$ and $Y$ given a random variable $Z$.…

Statistics Theory · Mathematics 2023-04-14 Małgorzata Łazęcka , Bartosz Kołodziejek , Jan Mielniczuk

Tests for paired censored outcomes have been extensively studied, with some justified in the context of randomization-based inference. These tests are primarily designed to detect an overall treatment effect across the entire follow-up…

Methodology · Statistics 2025-06-10 Sangjin Lee , Kwonsang Lee

We wish to test whether a real-valued variable $Z$ has explanatory power, in addition to a multivariate variable $X$, for a binary variable $Y$. Thus, we are interested in testing the hypothesis $\mathbb{P}(Y=1\, | \, X,Z)=\mathbb{P}(Y=1\,…

Methodology · Statistics 2025-12-23 John H. J. Einmahl , Denis Kojevnikov , Bas J. M. Werker

In this paper, we address the problem of testing independence between two high-dimensional random vectors. Our approach involves a series of max-sum tests based on three well-known classes of rank-based correlations. These correlation…

Methodology · Statistics 2024-04-04 Hongfei Wang , Binghui Liu , Long Feng