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It is generally believed that bias is minimized in well-controlled randomized clinical trials. However, bias can arise in active controlled noninferiority trials because the inference relies on a previously estimated effect size obtained…

Applications · Statistics 2013-12-02 Lei Nie , Zhiwei Zhang , Daniel Rubin , Jianxiong Chu

We present a randomization-based inferential framework for experiments characterized by a strongly ignorable assignment mechanism where units have independent probabilities of receiving treatment. Previous works on randomization tests often…

Methodology · Statistics 2019-02-01 Zach Branson , Marie-Abele Bind

This thesis investigates the quality of randomly collected data by employing a framework built on information-based complexity, a field related to the numerical analysis of abstract problems. The quality or power of gathered information is…

Numerical Analysis · Mathematics 2022-09-16 Mathias Sonnleitner

The presence of interference, where the outcome of an individual may depend on the treatment assignment and behavior of neighboring nodes, can lead to biased causal effect estimation. Current approaches to network experiment design focus on…

Machine Learning · Computer Science 2024-05-22 Zahra Fatemi , Jean Pouget-Abadie , Elena Zheleva

Permutation tests are widely used in statistics, providing a finite-sample guarantee on the type I error rate whenever the distribution of the samples under the null hypothesis is invariant to some rearrangement. Despite its increasing…

Statistics Theory · Mathematics 2022-05-26 Ilmun Kim , Sivaraman Balakrishnan , Larry Wasserman

Many novel unsupervised feature selection methods are proposed each year, yet their empirical evaluation is limited to supervised and unsupervised evaluation metrics computed on selected datasets, along with comparisons to existing methods.…

Machine Learning · Computer Science 2026-05-25 Muhammad Rajabinasab , Michael E. Houle , Oussama Chelly , Arthur Zimek

Deep neural networks are known to be vulnerable to small adversarial perturbations in test data. To defend against adversarial attacks, probabilistic classifiers have been proposed as an alternative to deterministic ones. However,…

Machine Learning · Computer Science 2023-11-29 Lucas Gnecco-Heredia , Yann Chevaleyre , Benjamin Negrevergne , Laurent Meunier , Muni Sreenivas Pydi

For randomized controlled trials (RCTs) with a single intervention being measured on multiple outcomes, researchers often apply a multiple testing procedure (such as Bonferroni or Benjamini-Hochberg) to adjust $p$-values. Such an adjustment…

Methodology · Statistics 2023-05-17 Kristen Hunter , Luke Miratrix , Kristin Porter

The problem of testing mutually exclusive hypotheses with dependent test statistics is considered. Bayesian and frequentist approaches to multiplicity control are studied and compared to help gain understanding as to the effect of test…

Statistics Theory · Mathematics 2016-11-21 Sean Chang , James O. Berger

We introduce a new randomization procedure for experiments based on the cube method, which achieves near-exact covariate balance. This ensures compliance with standard balance tests and allows for balancing on many covariates, enabling more…

Econometrics · Economics 2025-07-21 Laurent Davezies , Guillaume Hollard , Pedro Vergara Merino

Consistently checking the statistical significance of experimental results is one of the mandatory methodological steps to address the so-called "reproducibility crisis" in deep reinforcement learning. In this tutorial paper, we explain how…

Machine Learning · Computer Science 2018-07-06 Cédric Colas , Olivier Sigaud , Pierre-Yves Oudeyer

In randomized experiments with noncompliance, tests may focus on compliers rather than on the overall sample. Rubin (1998) put forth such a method, and argued that testing for the complier average causal effect and averaging permutation…

Methodology · Statistics 2016-02-23 Laura Forastiere , Fabrizia Mealli , Luke Miratrix

Two variational formulas for the power of the binary hypothesis testing problem are derived. The first is given as the Legendre transform of a certain function and the second, induced from the first, is given in terms of the Cumulative…

Information Theory · Computer Science 2016-01-27 Nir Elkayam , Meir Feder

Randomized trials balance all covariates on average and provide the gold standard for estimating treatment effects. Chance imbalances nevertheless exist more or less in realized treatment allocations and intrigue an important question: what…

Methodology · Statistics 2023-07-18 Anqi Zhao , Peng Ding

Sample size determination for cluster randomised trials (CRTs) is challenging as it requires robust estimation of the intra-cluster correlation coefficient (ICC). Typically, the sample size is chosen to provide a certain level of power to…

Applications · Statistics 2023-08-23 S. Faye Williamson , Svetlana V. Tishkovskaya , Kevin J. Wilson

We consider the power to reject false values of the parameter in Frequentist methods for the calculation of confidence intervals. We connect the power with the physical significance (reliability) of confidence intervals for a parameter…

High Energy Physics - Experiment · Physics 2010-12-23 C. Giunti , M. Laveder

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

Methodology · Statistics 2019-07-04 Zach Branson , Luke Keele

Multi-parameter one-sided hypothesis test problems arise naturally in many applications. We are particularly interested in effective tests for monitoring multiple quality indices in forestry products. Our search reveals that there are many…

Statistics Theory · Mathematics 2017-03-16 Guangyu Zhu , Jiahua Chen

Two-sample network hypothesis testing is an important inference task with applications across diverse fields such as medicine, neuroscience, and sociology. Many of these testing methodologies operate under the implicit assumption that the…

Methodology · Statistics 2024-05-28 Ayushi Saxena , Vince Lyzinski

In MT evaluation, pairwise comparisons are conducted to identify the better system. In conducting the comparison, the experimenter must allocate a budget to collect Direct Assessment (DA) judgments. We provide a cost effective way to spend…

Applications · Statistics 2022-11-11 Johnny Tian-Zheng Wei , Tom Kocmi , Christian Federmann