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When testing many hypotheses, often we do not have strong expectations about the directions of the effects. In some situations however, the alternative hypotheses are that the parameters lie in a certain direction or interval, and it is in…

统计方法学 · 统计学 2026-03-02 Jesse Hemerik

The higher criticism of a family of tests starts with the individual uncorrected p-values of each test. It then requires a procedure for deciding whether the collection of p-values indicates the presence of a real effect and if possible…

Replication helps ensure that a genotype-phenotype association observed in a genome-wide association (GWA) study represents a credible association and is not a chance finding or an artifact due to uncontrolled biases. We discuss…

统计方法学 · 统计学 2010-10-26 Peter Kraft , Eleftheria Zeggini , John P. A. Ioannidis

A new standard is proposed for the evidential assessment of replication studies. The approach combines a specific reverse-Bayes technique with prior-predictive tail probabilities to define replication success. The method gives rise to a…

统计方法学 · 统计学 2022-11-08 Leonhard Held

Consider the problem of distributed binary hypothesis testing with two terminals, where the decision is made at one of them (the "receiver"). We study the exponent of the error probability of the second type. Previously, an achievable…

信息论 · 计算机科学 2025-08-26 Yuval Kochman , Ligong Wang

Replication of experimental results has been a challenge faced by many scientific disciplines, including the field of machine learning. Recent work on the theory of machine learning has formalized replicability as the demand that an…

机器学习 · 计算机科学 2026-04-15 Eric Eaton , Marcel Hussing , Michael Kearns , Aaron Roth , Sikata Bela Sengupta , Jessica Sorrell

Controlling the false discovery rate (FDR) is a powerful approach to multiple testing. In many applications, the tested hypotheses have an inherent hierarchical structure. In this paper, we focus on the fixed sequence structure where the…

统计方法学 · 统计学 2016-11-11 Gavin Lynch , Wenge Guo , Sanat K. Sarkar , Helmut Finner

While extensive guidance exists for ensuring the reproducibility of one's own study, there is little discussion regarding the reproduction and replication of external studies within one's own research. To initiate this discussion, drawing…

机器学习 · 计算机科学 2024-01-10 Milton S. Gomez , Tom Beucler

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

Binary classification is a task that involves the classification of data into one of two distinct classes. It is widely utilized in various fields. However, conventional classifiers tend to make overconfident predictions for data that…

机器学习 · 计算机科学 2025-03-13 Shoma Yokura , Akihisa Ichiki

It is frequently of interest to jointly analyze multiple sequences of multiple tests in order to identify simultaneous signals, defined as features tested in multiple studies whose test statistics are non-null in each. In many problems,…

统计方法学 · 统计学 2019-01-16 Sihai Dave Zhao , Yet Tien Nguyen

The task of binary quantum hypothesis testing is to determine the state of a quantum system via measurements on it, given the side information that it is in one of two possible states, say $\rho$ and $\sigma$. This task is generally studied…

量子物理 · 物理学 2021-04-21 Robert Salzmann , Nilanjana Datta

Thanks to its favorable properties, the multivariate normal distribution is still largely employed for modeling phenomena in various scientific fields. However, when the number of components $p$ is of the same asymptotic order as the sample…

统计理论 · 数学 2022-11-17 Caizhu Huang , Claudia Di Caterina , Nicola Sartori

In this paper peer review reliability is investigated based on peer ratings of research teams at two Belgian universities. It is found that outcomes can be substantially influenced by the different ways in which experts attribute ratings.…

数字图书馆 · 计算机科学 2013-07-29 Nadine Rons , Eric Spruyt

Reproducibility is a key requirement for scientific progress. It allows the reproduction of the works of others, and, as a consequence, to fully trust the reported claims and results. In this work, we argue that, by facilitating…

信息检索 · 计算机科学 2021-02-02 Alejandro Bellogín , Alan Said

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…

计量经济学 · 经济学 2025-07-29 Sebastian Calonico , Sebastian Galiani

Consider a countably infinite set of nodes, which sequentially make decisions between two given hypotheses. Each node takes a measurement of the underlying truth, observes the decisions from some immediate predecessors, and makes a decision…

信息论 · 计算机科学 2015-06-12 Zhenliang Zhang , Edwin K. P. Chong , Ali Pezeshki , William Moran

We consider controlling the false discovery rate for testing many time series with an unknown cross-sectional correlation structure. Given a large number of hypotheses, false and missing discoveries can plague an analysis. While many…

统计方法学 · 统计学 2021-06-10 Junpei Komiyama , Masaya Abe , Kei Nakagawa , Kenichiro McAlinn

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

统计方法学 · 统计学 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Two-sample tests evaluate whether two samples are realizations of the same distribution (the null hypothesis) or two different distributions (the alternative hypothesis). We consider a new setting for this problem where sample features are…

机器学习 · 计算机科学 2022-07-20 Weizhi Li , Gautam Dasarathy , Karthikeyan Natesan Ramamurthy , Visar Berisha