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The notion of testing for equivalence of two treatments is widely used in clinical trials, pharmaceutical experiments,bioequivalence and quality control. It is essentially approached within the intersection-union (IU) principle. According…

Applications · Statistics 2018-02-07 R. Arboretti , E. Carrozzo , F. Pesarin , L. Salmaso

Clinical trials often involve the assessment of multiple endpoints to comprehensively evaluate the efficacy and safety of interventions. In the work, we consider a global nonparametric testing procedure based on multivariate rank for the…

Methodology · Statistics 2023-06-29 Kexuan Li , Lingli Yang , Shaofei Zhao , Susie Sinks , Luan Lin , Peng Sun

Major advances have been made regarding the utilization of artificial intelligence in health care. In particular, deep learning approaches have been successfully applied for automated and assisted disease diagnosis and prognosis based on…

Methodology · Statistics 2020-03-24 Max Westphal , Antonia Zapf , Werner Brannath

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

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

We consider the problem of inference on the signs of $n>1$ parameters. We aim to provide $1-\alpha$ post-hoc confidence bounds on the number of positive and negative (or non-positive) parameters. The guarantee is simultaneous, for all…

Methodology · Statistics 2024-03-05 Ruth Heller , Aldo Solari

Difference-in-differences is a popular method for observational health policy evaluation. It relies on a causal assumption that in the absence of intervention, treatment groups' outcomes would have evolved in parallel to those of comparison…

Methodology · Statistics 2026-02-09 Alyssa Bilinski , Laura A. Hatfield

Testing to see whether a given data set comes from some specified distribution is among the oldest types of problems in Statistics. Many such tests have been developed and their performance studied. The general result has been that while a…

Applications · Statistics 2020-12-07 Wolfgang Rolke

In a randomised clinical trial, when the result of the primary endpoint shows a significant benefit, the secondary endpoints are scrutinised to identify additional effects of the treatment. However, this approach entails a risk of…

Two main approaches in simultaneous inference are intersection-union tests and union-intersection tests. For intersection-union hypotheses, the classical IUT based on marginal p-values and the all-in-alternative UIT are compared. Depending…

Methodology · Statistics 2021-11-17 Ludwig A. Hothorn

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

In this paper, we present a general framework for testing relevant hypotheses in functional time series. Our unified approach covers one-sample, two-sample, and change point problems under contaminated observations with arbitrary sampling…

Methodology · Statistics 2025-08-27 Leheng Cai , Qirui Hu

A platform trial with a master protocol provides an infrastructure to ethically and efficiently evaluate multiple treatment options in multiple diseases. Given that certain study drugs can enter or exit a platform trial, the randomization…

Methodology · Statistics 2025-07-15 Tianyu Zhan , Jane Zhang , Lei Shu , Yihua Gu

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

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

Multivariate (average) equivalence testing is widely used to assess whether the means of two conditions of interest are `equivalent' for different outcomes simultaneously. The multivariate Two One-Sided Tests (TOST) procedure is typically…

In this paper, we consider the problem of simultaneously testing many two-sided hypotheses when rejections of null hypotheses are accompanied by claims of the direction of the alternative. The fundamental goal is to construct methods that…

Statistics Theory · Mathematics 2017-03-21 Anjana Grandhi , Wenge Guo , Joseph P. Romano

Given the cost and duration of phase III and phase IV clinical trials, the development of statistical methods for go/no-go decisions is vital. In this paper, we introduce a Bayesian methodology to compute the probability of success based on…

Methodology · Statistics 2020-10-27 Ethan M. Alt , Matthew A. Psioda , Joseph G. Ibrahim

Regulatory authorities guide the use of permutation tests or randomization tests so as not to increase the type-I error rate when applying covariate-adaptive randomization in randomized clinical trials. For non-inferiority and equivalence…

Applications · Statistics 2023-12-27 Masahiro Kojima , Hirotaka Mano , Kana Yamada , Keisuke Hanada , Yuji Tanaka , Junji Moriya

Scientists often adjust their significance threshold (alpha level) during null hypothesis significance testing in order to take into account multiple testing and multiple comparisons. This alpha adjustment has become particularly relevant…

Methodology · Statistics 2021-07-08 Mark Rubin
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