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We develop randomization-based tests for heterogeneous treatment effects in the presence of network interference. Leveraging the exposure mapping framework, we study a broad class of null hypotheses that represent various forms of constant…

Econometrics · Economics 2025-06-25 Julius Owusu

Standard tests of the "no-treatment-effect" hypothesis for a comparative experiment include permutation tests, the Wilcoxon rank sum test, two-sample $t$ tests, and Fisher-type randomization tests. Practitioners are aware that these…

Methodology · Statistics 2015-09-11 Joseph B. Lang

We study the problem of testing for the presence of random effects in mixed models with high-dimensional fixed effects. To this end, we propose a rank-based graph-theoretic approach to test whether a collection of random effects is zero.…

Methodology · Statistics 2025-06-10 Lynna Chu , Yichuan Bai

In causal analysis, understanding the causal mechanisms through which an intervention or treatment affects an outcome is often of central interest. We propose a test to evaluate (i) whether the causal effect of a treatment that is randomly…

Econometrics · Economics 2026-03-05 Martin Huber , Kevin Kloiber , Lukáš Lafférs

Booming in business and a staple analysis in medical trials, the A/B test assesses the effect of an intervention or treatment by comparing its success rate with that of a control condition. Across many practical applications, it is…

Applications · Statistics 2020-11-16 Quentin F. Gronau , K. N. Akash Raj , Eric-Jan Wagenmakers

Economists are often interested in the mechanisms by which a treatment affects an outcome. We develop tests for the "sharp null of full mediation" that a treatment $D$ affects an outcome $Y$ only through a particular mechanism (or set of…

Econometrics · Economics 2026-02-23 Soonwoo Kwon , Jonathan Roth

We consider the problem of testing a particular type of composite null hypothesis under a nonparametric multivariate regression model. For a given quadratic functional $Q$, the null hypothesis states that the regression function $f$…

Statistics Theory · Mathematics 2013-01-09 Laëtitia Comminges , Arnak Dalalyan

There has been strong recent interest in testing interval null hypothesis for improved scientific inference. For example, Lakens et al (2018) and Lakens and Harms (2017) use this approach to study if there is a pre-specified meaningful…

Methodology · Statistics 2019-05-02 J. G. Liao , Vishal Midya , Arthur Berg

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

We develop tests of the hypothesis of no effect for selected predictors in regression, without assuming a model for the conditional distribution of the response given the predictors. Predictor effects need not be limited to the mean…

Statistics Theory · Mathematics 2007-06-13 R. Dennis Cook

After rejecting the null hypothesis in the analysis of variance, the next step is to make the pairwise comparisons to find out differences in means. The purpose of this paper is threefold. The foremost aim is to suggest expression for…

Methodology · Statistics 2023-06-22 Elsayed A. H. Elamir

Conditional power calculations are frequently used to guide the decision whether or not to stop a trial for futility or to modify planned sample size. These ignore the information in short-term endpoints and baseline covariates, and thereby…

Methodology · Statistics 2019-04-11 Kelly Van Lancker , An Vandebosch , Stijn Vansteelandt

Causal mediation analysis can improve understanding of the mechanisms underlying epidemiologic associations. However, the utility of natural direct and indirect effect estimation has been limited by the assumption of no confounder of the…

Applications · Statistics 2020-06-16 Kara E. Rudolph , Oleg Sofrygin , Wenjing Zheng , Mark J. van der Laan

We present methodology for constructing exact significance tests for cross tabulated data for "difficult" composite alternative hypotheses that have no natural test statistic. We construct a test for discovering Simpson's Paradox and a…

Methodology · Statistics 2013-12-12 Daniel Yekutieli

Bayesian hypothesis testing via Bayes factors offers a principled alternative to classical p-value methods in meta-analysis, particularly suited to its cumulative and sequential nature. Unlike commonly reported p-values for standard null…

Methodology · Statistics 2026-04-22 Joris Mulder , Robbie C. M. van Aert

We propose a bootstrap testing framework for a general class of hypothesis tests, which allows resampling under the null hypothesis as well as other forms of bootstrapping. We identify combinations of resampling schemes and bootstrap…

Statistics Theory · Mathematics 2025-12-12 Alexis Derumigny , Miltiadis Galanis , Wieger Schipper , Aad van der Vaart

As a common step in refining their scientific inquiry, investigators are often interested in performing some screening of a collection of given statistical hypotheses. For example, they may wish to determine whether any one of several…

Methodology · Statistics 2022-03-04 Adam Elder , Marco Carone , Peter Gilbert , Alex Luedtke

In this paper, we propose a new test for checking the parametric form of the conditional variance based on distance covariance in nonlinear and nonparametric regression models. Inherit from the nice properties of distance covariance, our…

Methodology · Statistics 2022-05-19 Yue Hu , Haiqi Li , Falong Tan

We propose a novel technique to boost the power of testing a high-dimensional vector $H:\btheta=0$ against sparse alternatives where the null hypothesis is violated only by a couple of components. Existing tests based on quadratic forms…

Methodology · Statistics 2014-08-19 Jianqing Fan , Yuan Liao , Jiawei Yao

Interventional effects for mediation analysis were proposed as a solution to the lack of identifiability of natural (in)direct effects in the presence of a mediator-outcome confounder affected by exposure. We present a theoretical and…

Methodology · Statistics 2020-11-17 Iván Díaz , Nima S. Hejazi , Kara E. Rudolph , Mark J. van der Laan
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