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We present a general approach to constructing permutation tests that are both exact for the null hypothesis of equality of distributions and asymptotically correct for testing equality of parameters of distributions while allowing the…

Statistics Theory · Mathematics 2021-07-12 Colin B. Fogarty

The statistical literature is known to be inconsistent in the use of the terms "permutation test" and "randomization test". Several authors succesfully argue that these terms should be used to refer to two distinct classes of tests and that…

Methodology · Statistics 2020-12-23 Jesse Hemerik , Jelle J. Goeman

Mutation testing is a standard technique to evaluate the quality of a test suite. Due to its computationally intensive nature, many approaches have been proposed to make this technique feasible in real case scenarios. Among these…

Software Engineering · Computer Science 2016-07-11 Ali Parsai , Alessandro Murgia , Serge Demeyer

Active-controlled trials with non-inferiority objectives are often used when effective interventions are available, but new options may offer advantages or meet public health needs. In these trials, participants are randomized to an…

Methodology · Statistics 2025-10-28 Antonio Olivas-Martinez , Fei Gao , Holly Janes

We present an optimized rerandomization design procedure for a non-sequential treatment-control experiment. Randomized experiments are the gold standard for finding causal effects in nature. But sometimes random assignments result in…

Methodology · Statistics 2021-01-26 Adam Kapelner , Abba M. Krieger , Michael Sklar , David Azriel

Adaptive interventions (AIs) are increasingly becoming popular in medical and behavioral sciences. An AI is a sequence of individualized intervention options that specify for whom and under what conditions different intervention options…

Applications · Statistics 2018-12-18 Palash Ghosh , Inbal Nahum-Shani , Bonnie Spring , Bibhas Chakraborty

Clinical trials with a hybrid control arm (a control arm constructed from a combination of randomized patients and real-world data on patients receiving usual care in standard clinical practice) have the potential to decrease the cost of…

Methodology · Statistics 2021-08-20 Joanna Harton , Brian Segal , Ronac Mamtani , Nandita Mitra , Rebecca Hubbard

Permutation testing in linear models, where the number of nuisance coefficients is smaller than the sample size, is a well-studied topic. The common approach of such tests is to permute residuals after regressing on the nuisance covariates.…

Methodology · Statistics 2020-10-09 Jesse Hemerik , Magne Thoresen , Livio Finos

Platform trials are a more efficient way of testing multiple treatments compared to running separate trials. In this paper we consider platform trials where, if a treatment is found to be superior to the control, it will become the new…

Methodology · Statistics 2023-11-30 Peter Greenstreet , Thomas Jaki , Alun Bedding , Pavel Mozgunov

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

Multi-arm multi-stage trial designs can bring notable gains in efficiency to the drug development process. However, for normally distributed endpoints, the determination of a design typically depends on the assumption that the patient…

Methodology · Statistics 2017-10-11 Michael Grayling , James Wason , Adrian Mander

In qualitative statistics, permutation tests are very popular, mainly because of their finite-sample exactness under exchangeability. However, in non-exchangeable settings, the covariance structure of permuted statistics typically differs…

Methodology · Statistics 2026-04-09 Merle Munko , Paavo Sattler

New inference methods for the multivariate coefficient of variation and its reciprocal, the standardized mean, are presented. While there are various testing procedures for both parameters in the univariate case, it is less known how to do…

Methodology · Statistics 2020-03-31 Marc Ditzhaus , Łukas Smaga

To generalize inferences from a randomized trial to the target population of all trial-eligible individuals, investigators can use nested trial designs, where the randomized individuals are nested within a cohort of trial-eligible…

Hypothesis tests based on linear models are widely accepted by organizations that regulate clinical trials. These tests are derived using strong assumptions about the data-generating process so that the resulting inference can be based on…

Applications · Statistics 2018-09-13 Kellie Ottoboni , Fraser Lewis , Luigi Salmaso

Randomized experiments play a major role in data-driven decision making across many different fields and disciplines. In medicine, for example, randomized controlled trials (RCTs) are the backbone of clinical trial methodology for testing…

Applications · Statistics 2016-08-30 Andrew W. Correia

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

Statistics Theory · Mathematics 2016-03-02 Lubna Amro , Markus Pauly

In this paper, we explore the modified Greenwood statistic, which, in contrast to the classical Greenwood statistic, is properly defined for random samples from any distribution. The classical Greenwood statistic, extensively examined in…

Statistics Theory · Mathematics 2024-05-21 Katarzyna Skowronek , Marek Arendarczyk , Radosław Zimroz , Agnieszka Wyłomańska

Randomized artificial neural networks such as extreme learning machines provide an attractive and efficient method for supervised learning under limited computing ressources and green machine learning. This especially applies when equipping…

Machine Learning · Statistics 2022-01-02 Ansgar Steland , Bart E. Pieters

Permutation tests date back nearly a century to Fisher's randomized experiments, and remain an immensely popular statistical tool, used for testing hypotheses of independence between variables and other common inferential questions. Much of…

Methodology · Statistics 2022-12-05 Aaditya Ramdas , Rina Foygel Barber , Emmanuel J. Candes , Ryan J. Tibshirani