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Hierarchical inference in (generalized) regression problems is powerful for finding significant groups or even single covariates, especially in high-dimensional settings where identifiability of the entire regression parameter vector may be…

Methodology · Statistics 2021-10-22 Claude Renaux , Peter Bühlmann

When comparing multiple groups in clinical trials, we are not only interested in whether there is a difference between any groups but rather the location. Such research questions lead to testing multiple individual hypotheses. To control…

In complex clinical trials, multiple research objectives are often grouped into sets of objectives based on their inherent hierarchical relationships. Consequently, the hypotheses formulated to address these objectives are grouped into…

Methodology · Statistics 2016-11-11 Zhiying Qiu , Wenge Guo , Sanat Sarkar

Empirical research in the social and medical sciences frequently involves testing multiple hypotheses simultaneously, increasing the risk of false positives due to chance. Classical multiple testing procedures, such as the Bonferroni…

Econometrics · Economics 2025-07-29 Sebastian Calonico , Sebastian Galiani

Two common concerns raised in analyses of randomized experiments are (i) appropriately handling issues of non-compliance, and (ii) appropriately adjusting for multiple tests (e.g., on multiple outcomes or subgroups). Although simple…

Methodology · Statistics 2016-05-25 Joseph J. Lee , Laura Forastiere , Luke Miratrix , Natesh S. Pillai

We analyze control of the familywise error rate (FWER) in a multiple testing scenario with a great many null hypotheses about the distribution of a high-dimensional random variable among which only a very small fraction are false, or…

Methodology · Statistics 2015-09-15 Kamel Lahouel , Donald Geman , Laurent Younes

Bonferroni's correction is a popular tool to address multiplicity but is notorious for its low power when tests are dependent. This paper proposes a practical modification of Bonferroni's correction when test statistics are jointly normal…

Methodology · Statistics 2026-02-24 Caleb Hiltunen , Yeonwoo Rho

Response-adaptive designs allow the randomization probabilities to change during the course of a trial based on cumulated response data, so that a greater proportion of patients can be allocated to the better performing treatments. A major…

Methodology · Statistics 2020-06-03 David S. Robertson , James M. S. Wason

Quantile regression permits describing how quantiles of a scalar response variable depend on a set of predictors. Because a unique definition of multivariate quantiles is lacking, extending quantile regression to multivariate responses is…

Methodology · Statistics 2021-04-22 Silvia Columbu , Paolo Frumento , Matteo Bottai

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

When comparing two distributions, it is often helpful to learn at which quantiles or values there is a statistically significant difference. This provides more information than the binary "reject" or "do not reject" decision of a global…

Statistics Theory · Mathematics 2018-08-16 Matt Goldman , David M. Kaplan

Diagnostic accuracy studies assess sensitivity and specificity of a new index test in relation to an established comparator or the reference standard. The development and selection of the index test is usually assumed to be conducted prior…

Methodology · Statistics 2022-08-30 Max Westphal , Antonia Zapf

A multivariate quantile regression model with a factor structure is proposed to study data with many responses of interest. The factor structure is allowed to vary with the quantile levels, which makes our framework more flexible than the…

Methodology · Statistics 2020-01-22 Shih-Kang Chao , Wolfgang Karl Härdle , Ming Yuan

In neuroimaging, a large number of correlated tests are routinely performed to detect active voxels in single-subject experiments or to detect regions that differ between individuals belonging to different groups. In order to bound the…

Multiple hypothesis testing (MHT) frequently arises in scientific inquiries, and concurrent testing of multiple hypotheses inflates the risk of Type-I errors or false positives, rendering MHT corrections essential. This paper addresses MHT…

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

A classical approach for dealing with the multiple testing problem is to restrict attention to procedures that control the familywise error rate (FWER), the probability of at least one false rejection. In many applications, one might be…

Statistics Theory · Mathematics 2008-10-29 Wenge Guo , M. Bhaskara Rao

This paper addresses the following general scenario: A scientist wishes to perform a battery of experiments, each generating a sequential stream of data, to investigate some phenomenon. The scientist would like to control the overall error…

Methodology · Statistics 2014-05-12 Jay Bartroff , Jinlin Song

Quantile regression provides a framework for modeling statistical quantities of interest other than the conditional mean. The regression methodology is well developed for linear models, but less so for nonparametric models. We consider…

Statistics Theory · Mathematics 2009-09-29 Mi-Ok Kim

We propose a method for multiple hypothesis testing with familywise error rate (FWER) control, called the i-FWER test. Most testing methods are predefined algorithms that do not allow modifications after observing the data. However, in…

Methodology · Statistics 2021-04-20 Boyan Duan , Aaditya Ramdas , Larry Wasserman
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