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Modern statisticians are often presented with hundreds or thousands of hypothesis testing problems to evaluate at the same time, generated from new scientific technologies such as microarrays, medical and satellite imaging devices, or flow…

应用统计 · 统计学 2008-12-18 Bradley Efron

Recent work has shown that models trained to the same objective, and which achieve similar measures of accuracy on consistent test data, may nonetheless behave very differently on individual predictions. This inconsistency is undesirable in…

机器学习 · 计算机科学 2021-11-17 Emily Black , Klas Leino , Matt Fredrikson

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…

统计方法学 · 统计学 2021-04-20 Boyan Duan , Aaditya Ramdas , Larry Wasserman

A significant impediment to progress in research on bias in machine learning (ML) is the availability of relevant datasets. This situation is unlikely to change much given the sensitivity of such data. For this reason, there is a role for…

机器学习 · 计算机科学 2021-08-05 William Blanzeisky , Pádraig Cunningham , Kenneth Kennedy

Clustering is part of unsupervised analysis methods that consist in grouping samples into homogeneous and separate subgroups of observations also called clusters. To interpret the clusters, statistical hypothesis testing is often used to…

统计方法学 · 统计学 2022-10-25 Benjamin Hivert , Denis Agniel , Rodolphe Thiébaut , Boris P Hejblum

We introduce a new multiple type I error criterion for clinical trials with multiple populations. Such trials are of interest in precision medicine where the goal is to develop treatments that are targeted to specific sub-populations…

统计方法学 · 统计学 2021-02-05 Werner Brannath , Charlie Hillner , Kornelius Rohmeyer

The problem of multi-hypothesis testing with controlled sensing of observations is considered. The distribution of observations collected under each control is assumed to follow a single-parameter exponential family distribution. The goal…

统计理论 · 数学 2019-10-29 Aditya Deshmukh , Srikrishna Bhashyam , Venugopal V. Veeravalli

Consider the problem of testing $s$ hypotheses simultaneously. The usual approach restricts attention to procedures that control the probability of even one false rejection, the familywise error rate (FWER). If $s$ is large, one might be…

统计理论 · 数学 2007-11-06 Joseph P. Romano , Michael Wolf

Machine learning algorithms are increasingly used to inform critical decisions. There is a growing concern about bias, that algorithms may produce uneven outcomes for individuals in different demographic groups. In this work, we measure…

机器学习 · 计算机科学 2021-06-01 Runshan Fu , Yangfan Liang , Peter Zhang

The machine learning community has become increasingly concerned with the potential for bias and discrimination in predictive models. This has motivated a growing line of work on what it means for a classification procedure to be "fair." In…

机器学习 · 计算机科学 2017-11-07 Geoff Pleiss , Manish Raghavan , Felix Wu , Jon Kleinberg , Kilian Q. Weinberger

In this paper, we have established a general framework of multistage hypothesis tests which applies to arbitrarily many mutually exclusive and exhaustive composite hypotheses. Within the new framework, we have constructed specific…

统计理论 · 数学 2013-11-05 Xinjia Chen

Suppose some classifiers are selected from a set of hypothesis classifiers to form an equally-weighted ensemble that selects a member classifier at random for each input example. Then the ensemble has an error bound consisting of the…

机器学习 · 统计学 2019-04-01 Eric Bax , Farshad Kooti

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…

统计方法学 · 统计学 2022-08-30 Max Westphal , Antonia Zapf

In many modern statistical problems, the limited available data must be used both to develop the hypotheses to test, and to test these hypotheses-that is, both for exploratory and confirmatory data analysis. Reusing the same dataset for…

统计方法学 · 统计学 2023-07-24 Youngjoo Yun , Rina Foygel Barber

Current statistical inference problems in areas like astronomy, genomics, and marketing routinely involve the simultaneous testing of thousands -- even millions -- of null hypotheses. For high-dimensional multivariate distributions, these…

统计方法学 · 统计学 2017-04-25 Weixin Cai , Nima S. Hejazi , Alan E. Hubbard

Consider the multiple testing problem of testing k null hypotheses, where the unknown family of distributions is assumed to satisfy a certain monotonicity assumption. Attention is restricted to procedures that control the familywise error…

统计理论 · 数学 2007-06-13 E. L. Lehmann , Joseph P. Romano , Juliet Popper Shaffer

Multiple hypothesis testing practices vary widely, without consensus on which are appropriate when. This paper provides an economic foundation for these practices designed to capture leading examples, such as regulatory approval on the…

综合经济学 · 经济学 2026-02-19 Davide Viviano , Kaspar Wuthrich , Paul Niehaus

When testing multiple hypothesis in a survey --e.g. many different source locations, template waveforms, and so on-- the final result consists in a set of confidence intervals, each one at a desired confidence level. But the probability…

广义相对论与量子宇宙学 · 物理学 2009-11-11 L. Baggio , G. A. Prodi

When many (m) null hypotheses are tested with a single dataset, the control of the number of false rejections is often the principal consideration. Two popular controlling rates are the probability of making at least one false discovery…

统计方法学 · 统计学 2013-07-11 Djalel Eddine Meskaldji , Jean-Philippe Thiran , Stephan Morgenthaler

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…

统计方法学 · 统计学 2014-05-12 Jay Bartroff , Jinlin Song