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A/B testing is ubiquitous within the machine learning and data science operations of internet companies. Generically, the idea is to perform a statistical test of the hypothesis that a new feature is better than the existing platform---for…

Statistics Theory · Mathematics 2017-10-11 David Goldberg , James E. Johndrow

This paper presents a survey on some recent advances for the type I error rate control in multiple testing methodology. We consider the problem of controlling the $k$-family-wise error rate (kFWER, probability to make $k$ false discoveries…

Methodology · Statistics 2011-03-15 Etienne Roquain

It is widely acknowledged that the biomedical literature suffer from a surfeit of false positive results. Part of the reason for this is the persistence of the myth that observation of a p value less than 0.05 is sufficient justification to…

Applications · Statistics 2019-03-28 David Colquhoun

False discovery rate (FDR) has been widely used as an error measure in large scale multiple testing problems, but most research in the area has been focused on procedures for controlling the FDR based on independent test statistics or the…

Methodology · Statistics 2009-09-29 Weihua Tang , Cun-Hui Zhang

Across the empirical sciences, few statistical procedures rival the popularity of the frequentist t-test. In contrast, the Bayesian versions of the t-test have languished in obscurity. In recent years, however, the theoretical and practical…

Methodology · Statistics 2018-12-17 Quentin F. Gronau , Alexander Ly , Eric-Jan Wagenmakers

Bayesian evidence ratios give a very attractive way of comparing models, and being able to quote the odds on a particular model seems a very clear motivation for making a choice. Jeffreys' scale of evidence is often used in the…

Instrumentation and Methods for Astrophysics · Physics 2020-09-07 Charles Jenkins

A/B testing has become the cornerstone of decision-making in online markets, guiding how platforms launch new features, optimize pricing strategies, and improve user experience. In practice, we typically employ the pairwise $t$-test to…

Machine Learning · Statistics 2025-10-29 Junpeng Gong , Chunkai Wang , Hao Li , Jinyong Ma , Haoxuan Li , Xu He

Bayes factors for composite hypotheses have difficulty in encoding vague prior knowledge, as improper priors cannot be used and objective priors may be subjectively unreasonable. To address these issues I revisit the posterior Bayes factor,…

Methodology · Statistics 2024-02-29 Frank Dudbridge

Estimating HIV-1 incidence using biomarker assays in cross-sectional surveys is important for understanding the HIV pandemic. However, the utility of these estimates has been limited by uncertainty about what input parameters to use for…

This paper challenges the prevailing practice of accepting standardized factor loadings as low as .50 in confirmatory factor analysis. Drawing on the logic of Average Variance Extracted (AVE) and communality, the author argues for a…

Methodology · Statistics 2026-05-13 M. Murat Yaslioglu , Duygu Toplu Yaslioglu

Much of science is (rightly or wrongly) driven by hypothesis testing. Even in situations where the hypothesis testing paradigm is correct, the common practice of basing inferences solely on p-values has been under intense criticism for over…

Methodology · Statistics 2015-12-31 M. J. Bayarri , Daniel J. Benjamin , James O. Berger , Thomas M. Sellke

Mining 29,000 accounting ratios for t-statistics $> 2.0$ leads to cross-sectional return predictability similar to the peer review process. For both, $\approx50\%$ of predictability remains after the original sample periods. This finding…

General Finance · Quantitative Finance 2026-01-01 Andrew Y. Chen , Alejandro Lopez-Lira , Tom Zimmermann

The rejection threshold used for e-values and e-processes is by default set to $1/\alpha$ for a guaranteed type-I error control at $\alpha$, based on Markov's and Ville's inequalities. This threshold can be wasteful in practical…

Statistics Theory · Mathematics 2025-10-06 Christopher Blier-Wong , Ruodu Wang

The following proposition is justified from several different points of view. If you use P = 0.05 to suggest that you have made a discovery, you will be wrong at least 30 percent of the time. If, as is often the case, experiments are…

Applications · Statistics 2014-11-21 David Colquhoun

Following discussions in 2010 and 2011, scientometric evaluators have increasingly abandoned relative indicators in favor of comparing observed with expected citation ratios. The latter method provides parameters with error values allowing…

Digital Libraries · Computer Science 2018-08-30 Loet Leydesdorff , Tobias Opthof

In interferometry, sub-Heisenberg strategies claim to achieve a phase estimation error smaller than the inverse of the mean number of photons employed (Heisenberg bound). Here we show that one can achieve a comparable precision without…

Quantum Physics · Physics 2012-05-24 Vittorio Giovannetti , Lorenzo Maccone

Nowadays impact factor is the significant indicator for journal evaluation. In impact factor calculation is used number of all citations to journal, regardless of the prestige of cited journals, however, scientific units (paper, researcher,…

Digital Libraries · Computer Science 2015-06-10 Rasim Alguliyev , Ramiz Aliguliyev , Nigar Ismayilova

Multiple hypothesis testing, a situation when we wish to consider many hypotheses, is a core problem in statistical inference that arises in almost every scientific field. In this setting, controlling the false discovery rate (FDR), which…

Statistics Theory · Mathematics 2019-03-19 Shiyun Chen , Shiva Kasiviswanathan

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

Particularly in genomics, but also in other fields, it has become commonplace to undertake highly multiple Student's $t$-tests based on relatively small sample sizes. The literature on this topic is continually expanding, but the main…

Statistics Theory · Mathematics 2010-10-11 Peter Hall , Qiying Wang