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An important aspect of multiple hypothesis testing is controlling the significance level, or the level of Type I error. When the test statistics are not independent it can be particularly challenging to deal with this problem, without…

Statistics Theory · Mathematics 2009-03-04 Sandy Clarke , Peter Hall

In a high dimensional regression setting in which the number of variables ($p$) is much larger than the sample size ($n$), the number of possible two-way interactions between the variables is immense. If the number of variables is in the…

Methodology · Statistics 2024-06-26 Marianne A Jonker , Luc van Schijndel , Eric Cator

Linear stochastic transitivity is a central assumption in paired comparison models that is rarely verified in practice. Empirical violations, however, are common and can substantially affect inference and ranking. We develop a class of…

Methodology · Statistics 2026-04-02 Rahul Singh , Ori Davidov

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

Machine Learning · Computer Science 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

Pairwise comparisons are an important tool of modern (multiple criteria) decision making. Since human judgments are often inconsistent, many studies focused on the ways how to express and measure this inconsistency, and several…

Artificial Intelligence · Computer Science 2017-05-01 Jiri Mazurek

Permutation tests are a powerful and flexible approach to inference via resampling. As computational methods become more ubiquitous in the statistics curriculum, use of permutation tests has become more tractable. At the heart of the…

Methodology · Statistics 2025-06-09 Johanna Hardin , Lauren Quesada , Julie Ye , Nicholas J. Horton

In this paper, we consider the problem of testing properties of joint distributions under the Conditional Sampling framework. In the standard sampling model, the sample complexity of testing properties of joint distributions is exponential…

Computational Complexity · Computer Science 2022-08-03 Rishiraj Bhattacharyya , Sourav Chakraborty

We point out that the ideas underlying some test procedures recently proposed for testing post-model-selection (and for some other test problems) in the econometrics literature have been around for quite some time in the statistics…

Statistics Theory · Mathematics 2017-08-30 Hannes Leeb , Benedikt M. Pötscher

The most popular multiple testing procedures are stepwise procedures based on $P$-values for individual test statistics. Included among these are the false discovery rate (FDR) controlling procedures of Benjamini--Hochberg [J. Roy. Statist.…

Statistics Theory · Mathematics 2009-06-18 Arthur Cohen , Harold B. Sackrowitz , Minya Xu

We give a finite-sample analysis of predictive inference procedures after model selection in regression with random design. The analysis is focused on a statistically challenging scenario where the number of potentially important…

Statistics Theory · Mathematics 2009-08-26 Hannes Leeb

We consider studies where multiple measures on an outcome variable are collected over time, but some subjects drop out before the end of follow up. Analyses of such data often proceed under either a 'last observation carried forward' or…

Methodology · Statistics 2022-07-26 Oliver Dukes , David Richardson , Eric Tchetgen Tchetgen

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

Applications · Statistics 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

Conventional multiparameter quantum sensing relies on joint estimation, but this approach faces two key limitations: theoretical bounds may be unattainable due to measurement incompatibility, and sensing may fail due to parameter…

Quantum Physics · Physics 2025-06-09 Chiranjib Mukhopadhyay , Abolfazl Bayat , Victor Montenegro , Matteo G. A. Paris

In the evaluation of treatment effects, it is of major policy interest to know if the treatment is beneficial for some and harmful for others, a phenomenon known as qualitative interaction. We formulate this question as a multiple testing…

Methodology · Statistics 2017-08-29 Qingyuan Zhao , Dylan S. Small , Weijie Su

Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we study differentially private tests of independence between a categorical and a continuous variable. We take…

Methodology · Statistics 2019-03-25 Simon Couch , Zeki Kazan , Kaiyan Shi , Andrew Bray , Adam Groce

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

Methodology · Statistics 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Human evaluation of generated language through pairwise preference judgments is pervasive. However, under common scenarios, such as when generations from a model pair are very similar, or when stochastic decoding results in large variations…

Computation and Language · Computer Science 2024-10-30 Sayan Ghosh , Tejas Srinivasan , Swabha Swayamdipta

The multiple testing procedure plays an important role in detecting the presence of spatial signals for large-scale imaging data. Typically, the spatial signals are sparse but clustered. This paper provides empirical evidence that for a…

Statistics Theory · Mathematics 2011-03-11 Chunming Zhang , Jianqing Fan , Tao Yu

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

Inspired by sample splitting and the reusable holdout introduced in the field of differential privacy, we consider selective inference with a randomized response. We discuss two major advantages of using a randomized response for model…

Statistics Theory · Mathematics 2016-12-01 Xiaoying Tian , Jonathan E. Taylor