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When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

应用统计 · 统计学 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

统计方法学 · 统计学 2024-08-08 Yann McLatchie , Aki Vehtari

We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

信息论 · 计算机科学 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

Evaluating machine learning models is crucial not only for determining their technical accuracy but also for assessing their potential societal implications. While the potential for low-sample-size bias in algorithms is well known, we…

机器学习 · 计算机科学 2025-05-08 Jarren Briscoe , Garrett Kepler , Daryl Deford , Assefaw Gebremedhin

When epidemiologic studies are conducted in a subset of the population, selection bias can threaten the validity of causal inference. This bias can occur whether or not that selected population is the target population, and can occur even…

统计方法学 · 统计学 2019-06-07 Louisa H. Smith , Tyler J. VanderWeele

A common concern with Bayesian methodology in scientific contexts is that inferences can be heavily influenced by subjective biases. As presented here, there are two types of bias for some quantity of interest: bias against and bias in…

统计理论 · 数学 2019-03-06 Michael Evans , Yang Guo

Adjustment of statistical significance levels for repeated analysis in group sequential trials has been understood for some time. Similarly, methods for adjustment accounting for testing multiple hypotheses are common. There is limited…

统计方法学 · 统计学 2023-11-28 Yujie Zhao , Qi Liu , Linda Z. Sun , Keaven M. Anderson

Prediction sets provide a means of quantifying the uncertainty in predictive tasks. Using held out calibration data, conformal prediction and risk control can produce prediction sets that exhibit statistically valid error control in a…

机器学习 · 统计学 2026-02-05 Bror Hultberg , Dave Zachariah , Antônio H. Ribeiro

Subject selection plays a critical role in experimental studies, especially ones with human subjects. Anecdotal evidence suggests that many such studies, done at or near university campus settings suffer from selection bias, i.e., the…

机器学习 · 计算机科学 2020-12-21 Tahereh Arabghalizi , Alexandros Labrinidis

We present a unifying approach to multiple testing procedures for sequential (or streaming) data by giving sufficient conditions for a sequential multiple testing procedure to control the familywise error rate (FWER), extending to the…

统计方法学 · 统计学 2015-02-25 Jay Bartroff , Jinlin Song

Usually one compares the accuracy of two competing classifiers via null hypothesis significance tests (nhst). Yet the nhst tests suffer from important shortcomings, which can be overcome by switching to Bayesian hypothesis testing. We…

机器学习 · 计算机科学 2016-11-23 Giorgio Corani , Alessio Benavoli , Janez Demšar , Francesca Mangili , Marco Zaffalon

A stream of algorithmic advances has steadily increased the popularity of the Bayesian approach as an inference paradigm, both from the theoretical and applied perspective. Even with apparent successes in numerous application fields, a…

统计方法学 · 统计学 2020-07-10 Owen Thomas , Henri Pesonen , Jukka Corander

The repeated community-wide reuse of test sets in popular benchmark problems raises doubts about the credibility of reported test-error rates. Verifying whether a learned model is overfitted to a test set is challenging as independent test…

机器学习 · 计算机科学 2019-11-15 Roman Werpachowski , András György , Csaba Szepesvári

This paper presents a clustering approach that allows for rigorous statistical error control similar to a statistical test. We develop estimators for both the unknown number of clusters and the clusters themselves. The estimators depend on…

统计理论 · 数学 2017-07-13 Michael Vogt , Matthias Schmid

Binary classifiers trained on a certain proportion of positive items introduce a bias when applied to data sets with different proportions of positive items. Most solutions for dealing with this issue assume that some information on the…

机器学习 · 统计学 2021-02-18 Marco J. H. Puts , Piet J. H. Daas

When performing supervised learning with the model selected using validation error from sample splitting and cross validation, the minimum value of the validation error can be biased downward. We propose two simple methods that use the…

统计方法学 · 统计学 2018-02-13 Leying Guan

In this article, we propose a novel Bayesian multiple testing formulation for model and variable selection in inverse setups, judiciously embedding the idea of inverse reference distributions proposed by Bhattacharya (2013) in a mixture…

统计理论 · 数学 2020-07-16 Debashis Chatterjee , Sourabh Bhattacharya

We consider the problem of testing whether a correlation matrix of a multivariate normal population is the identity matrix. We focus on sparse classes of alternatives where only a few entries are nonzero and, in fact, positive. We derive a…

统计理论 · 数学 2015-04-15 Ery Arias-Castro , Sébastien Bubeck , Gábor Lugosi

The two-sample hypothesis testing problem is studied for the challenging scenario of high dimensional data sets with small sample sizes. We show that the two-sample hypothesis testing problem can be posed as a one-class set classification…

机器学习 · 统计学 2017-11-15 Hamed Masnadi-Shirazi

To perform inference after model selection, we propose controlling the selective type I error; i.e., the error rate of a test given that it was performed. By doing so, we recover long-run frequency properties among selected hypotheses…

统计理论 · 数学 2017-04-19 William Fithian , Dennis Sun , Jonathan Taylor