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A stepped wedge design is a unidirectional crossover design where clusters are randomized to distinct treatment sequences. While model-based analysis of stepped wedge designs is standard practice to evaluate treatment effects accounting for…

Methodology · Statistics 2024-09-13 Bingkai Wang , Xueqi Wang , Fan Li

We consider the problem of sequential multiple hypothesis testing with nontrivial data collection costs. This problem appears, for example, when conducting biological experiments to identify differentially expressed genes of a disease…

Machine Learning · Computer Science 2023-11-06 Thomas Cook , Harsh Vardhan Dubey , Ji Ah Lee , Guangyu Zhu , Tingting Zhao , Patrick Flaherty

For ordinal outcomes, we construct sequences of alternative hypotheses in increasing departures from the sharp null hypothesis of zero treatment effect on each experimental unit, to help assess the powers of randomization tests in…

Applications · Statistics 2016-07-19 Jiannan Lu , Peng Ding , Tirthankar Dasgupta

One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

Methodology · Statistics 2024-01-04 Daniel Ochieng

Simultaneous tests of superiority and non-inferiority hypotheses on multiple endpoints are often performed in clinical trials to demonstrate that a new treatment is superior over a control on at least one endpoint and non-inferior on the…

Methodology · Statistics 2023-10-02 Wenfeng Chen , Naiqing Zhao , Guoyou Qin , Jie Chen

Testing intersections of null-hypotheses is an integral part of closed testing procedures for assessing multiple null-hypotheses under family-wise type 1 error control. Popular intersection tests such as the minimum p-value test are based…

Methodology · Statistics 2025-11-11 Christian Bressen Pipper , Andreas Nordland , Klaus Kähler Holst

A random coefficient autoregressive process is deeply investigated in which the coefficients are correlated. First we look at the existence of a strictly stationary causal solution, we give the second-order stationarity conditions and the…

Statistics Theory · Mathematics 2018-03-29 Frédéric Proïa , Marius Soltane

Active learning in computer experiments aims at allocating resources in an intelligent manner based on the already observed data to satisfy certain objectives such as emulating or optimizing a computationally expensive function. There are…

Methodology · Statistics 2025-01-24 Difan Song , V. Roshan Joseph

This paper studies the problem of high-dimensional multiple testing and sparse recovery from the perspective of sequential analysis. In this setting, the probability of error is a function of the dimension of the problem. A simple…

Statistics Theory · Mathematics 2011-06-06 Matthew Malloy , Robert Nowak

In an observational study, it is common to leverage known null effect to detect bias. One such strategy is to set aside a placebo sample -- a subset of data immune from the hypothesized cause-and-effect relationship. Existence of an effect…

Methodology · Statistics 2022-07-05 Ting Ye , Shuxiao Chen , Bo Zhang

We provide sufficient conditions for the identification of the heterogeneous treatment effects, defined as the conditional expectation for the differences of potential outcomes given the untreated outcome, under the nonignorable treatment…

Methodology · Statistics 2019-01-15 Keisuke Takahata , Takahiro Hoshino

We consider a multiple hypothesis testing setting where the hypotheses are ordered and one is only permitted to reject an initial contiguous block, H_1,\dots,H_k, of hypotheses. A rejection rule in this setting amounts to a procedure for…

Statistics Theory · Mathematics 2015-03-25 Max Grazier G'Sell , Stefan Wager , Alexandra Chouldechova , Robert Tibshirani

Statistical inference of heterogeneous treatment effects (HTEs) across predefined subgroups is challenging when units interact because treatment effects may vary by pre-treatment variables, post-treatment exposure variables (that measure…

Econometrics · Economics 2024-10-02 Julius Owusu

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

There is strong interest in estimating how the magnitude of treatment effects of an intervention vary across sub-groups of the population of interest. In our paper, we propose a two-study approach to first propose and then test…

Methodology · Statistics 2020-06-23 Rahul Ladhania , Amelia Haviland , Neeraj Sood , Edward Kennedy , Ateev Mehrotra

This paper studies the problem of testing whether a system of linear equality and inequality constraints admits a solution when the coefficients of that system may have to be estimated. We show that a wide range of inferential questions in…

Econometrics · Economics 2026-05-11 Leonard Goff , Eric Mbakop

This article reviews a class of adaptive group testing procedures that operate under a probabilistic model assumption as follows. Consider a set of $N$ items, where item $i$ has the probability $p$ ($p_i$ in the generalized group testing)…

Methodology · Statistics 2021-02-19 Yaakov Malinovsky , Paul S. Albert

Estimating causal effects on networks is challenging because treatments may affect both treated units and their neighbors, while network homophily induces dependence and confounding. These challenges are amplified when causal effects are…

Machine Learning · Statistics 2026-05-12 Yuanchen Wu , Yubai Yuan

We compare different permutation tests and some parametric counterparts that are applicable to unbalanced designs in two by two designs. First the different approaches are shortly summarized. Then we investigate the behavior of the tests in…

Methodology · Statistics 2013-10-01 Sonja Hahn , Frank Konietschke , Luigi Salmaso

A new cross-correlation synchrony index for neural activity is proposed. The index is based on the integration of the kernel estimation of the cross-correlation function. It is used to test for the dynamic synchronization levels of…

Neurons and Cognition · Quantitative Biology 2016-02-22 Aldana M. González Montoro , Ricardo Cao , Nelson Espinosa , Javier Cudeiro , Jorge Mariño