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This paper tackles the challenge of performing multiple quantile regressions across different quantile levels and the associated problem of controlling the familywise error rate, an issue that is generally overlooked in practice. We propose…

Methodology · Statistics 2026-04-10 Riccardo De Santis , Anna Vesely , Angela Andreella

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

Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in comparative analysis is the test of equality of two…

Methodology · Statistics 2018-05-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

Experimental research on behavior and cognition frequently rests on stimulus or subject selection where not all characteristics can be fully controlled, even when attempting strict matching. For example, when contrasting patients to…

Methodology · Statistics 2016-08-29 Jona Sassenhagen , Phillip M. Alday

Multi-class classification methods that produce sets of probabilistic classifiers, such as ensemble learning methods, are able to model aleatoric and epistemic uncertainty. Aleatoric uncertainty is then typically quantified via the Bayes…

Machine Learning · Statistics 2023-04-20 Thomas Mortier , Viktor Bengs , Eyke Hüllermeier , Stijn Luca , Willem Waegeman

This paper investigates a statistical procedure for testing the equality of two independently estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

Methodology · Statistics 2020-07-13 Rémy Mariétan , Stephan Morgenthaler

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

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

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

Models trained with empirical risk minimization (ERM) are prone to be biased towards spurious correlations between target labels and bias attributes, which leads to poor performance on data groups lacking spurious correlations. It is…

Machine Learning · Computer Science 2024-12-23 Hyeonggeun Han , Sehwan Kim , Hyungjun Joo , Sangwoo Hong , Jungwoo Lee

The objective of this work is to quantify the uncertainty in probability of failure estimates resulting from incomplete knowledge of the probability distributions for the input random variables. We propose a framework that couples the…

Methodology · Statistics 2021-10-26 Dimitris G. Giovanis , Michael Shields

Most scientific disciplines use significance testing to draw conclusions about experimental or observational data. This classical approach provides a theoretical guarantee for controlling the number of false positives across a set of…

Applications · Statistics 2023-03-06 Stanley E. Lazic

This paper considers the problem of testing many moment inequalities, where the number of moment inequalities ($p$) is possibly larger than the sample size ($n$). Chernozhukov et al. (2019) proposed asymptotic tests for this problem using…

Statistics Theory · Mathematics 2020-06-09 Nick Koning , Paul Bekker

We investigate saddlepoint approximations applied to the score test statistic in genome-wide association studies with binary phenotypes. The inaccuracy in the normal approximation of the score test statistic increases with increasing sample…

We consider sequential hypothesis testing between two quantum states using adaptive and non-adaptive strategies. In this setting, samples of an unknown state are requested sequentially and a decision to either continue or to accept one of…

Quantum Physics · Physics 2023-03-07 Yonglong Li , Vincent Y. F. Tan , Marco Tomamichel

Weakly supervised question answering usually has only the final answers as supervision signals while the correct solutions to derive the answers are not provided. This setting gives rise to the spurious solution problem: there may exist…

Computation and Language · Computer Science 2021-06-15 Zhihong Shao , Lifeng Shang , Qun Liu , Minlie Huang

Empirical studies suggest that machine learning models trained with empirical risk minimization (ERM) often rely on attributes that may be spuriously correlated with the class labels. Such models typically lead to poor performance during…

Machine Learning · Computer Science 2023-03-02 Sheng Liu , Xu Zhang , Nitesh Sekhar , Yue Wu , Prateek Singhal , Carlos Fernandez-Granda

In epidemiology and social sciences, propensity score methods are popular for estimating treatment effects using observational data, and multiple imputation is popular for handling covariate missingness. However, how to appropriately use…

Methodology · Statistics 2023-08-30 Trang Quynh Nguyen , Elizabeth A. Stuart

The gold standard for identifying causal relationships is a randomized controlled experiment. In many applications in the social sciences and medicine, the researcher does not control the assignment mechanism and instead may rely upon…

Applications · Statistics 2016-11-22 Johann Gagnon-Bartsch , Yotam Shem-Tov

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