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Attacks on the P-value are nothing new, but the recent attacks are increasingly more serious. They come from more mainstream sources, with widening targets such as a call to retire the significance testing altogether. While well meaning, I…

Other Statistics · Statistics 2022-01-11 Yudi Pawitan

Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper we replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors,…

Statistics Theory · Mathematics 2021-10-26 Vladimir Vovk , Ruodu Wang

In a recent simulation study, Goodman et al. (2019) compare several methods with regard to their type I and type II error rates in case of a thick null hypothesis that includes all values that are practically equivalent to the point null…

Methodology · Statistics 2022-06-07 Robin Tim Dreher , Leona Hoffmann , Arne Kramer-Sunderbrink , Peter Pütz , Robin Werner

Probability integral transforms (PITs) and empirical $p$-values are widely used to assess the calibration of predictive distributions. While exact PIT values are uniformly distributed under correct model specification, practical…

Methodology · Statistics 2026-05-18 Jakub Lis

Cross-validation plays a fundamental role in Machine Learning, enabling robust evaluation of model performance and preventing overestimation on training and validation data. However, one of its drawbacks is the potential to create data…

Machine Learning · Computer Science 2025-08-28 Afonso Martini Spezia , Thomas Fontanari , Mariana Recamonde-Mendoza

A platform trial with a master protocol provides an infrastructure to ethically and efficiently evaluate multiple treatment options in multiple diseases. Given that certain study drugs can enter or exit a platform trial, the randomization…

Methodology · Statistics 2025-07-15 Tianyu Zhan , Jane Zhang , Lei Shu , Yihua Gu

The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant information from the original data. In its classical…

Information Theory · Computer Science 2026-02-23 Akira Kamatsuka , Takahiro Yoshida

Relational query optimisers rely on cost models to choose between different query execution plans. Selectivity estimates are known to be a crucial input to the cost model. In practice, standard selectivity estimation procedures are prone to…

Databases · Computer Science 2020-09-22 Max Halford , Philippe Saint-Pierre , Franck Morvan

The pairwise winning indices, computed in the Stochastic Multicriteria Acceptability Analysis, give the probability with which an alternative is preferred to another taking into account all the instances of the assumed preference model…

Optimization and Control · Mathematics 2022-03-29 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

We review the methods to combine several measurements, in the form of parameter values or $p$-values.

Data Analysis, Statistics and Probability · Physics 2017-04-20 Louis Lyons , Emilien Chapon

Simultaneous inference allows for the exploration of data while deciding on criteria for proclaiming discoveries. It was recently proved that all admissible post-hoc inference methods for true discoveries must employ closed testing. In this…

Statistics Theory · Mathematics 2022-03-24 Jinjin Tian , Xu Chen , Eugene Katsevich , Jelle Goeman , Aaditya Ramdas

The instrumental variable method is widely used in the health and social sciences for identification and estimation of causal effects in the presence of potentially unmeasured confounding. In order to improve efficiency, multiple…

Methodology · Statistics 2022-04-19 Baoluo Sun , Zhonghua Liu , Eric Tchetgen Tchetgen

We discuss how to handle matching-adjusted indirect comparison (MAIC) from a data analyst's perspective. We introduce several multivariate data analysis methods to assess the appropriateness of MAIC for a given data set. These methods focus…

Applications · Statistics 2022-03-18 Ekkehard Glimm , Lillian Yau

The theory of the call-by-value lambda-calculus relies on weak evaluation and closed terms, that are natural hypotheses in the study of programming languages. To model proof assistants, however, strong evaluation and open terms are…

Logic in Computer Science · Computer Science 2017-02-02 Beniamino Accattoli , Giulio Guerrieri

One class of statistical hypothesis testing procedures is the indisputable equivalence tests, whose main objective is to establish practical equivalence rather than the usual statistical significant difference. These hypothesis tests are…

Methodology · Statistics 2024-01-04 Daniel Ochieng

A central question in computer science and statistics is whether efficient algorithms can achieve the information-theoretic limits of statistical problems. Many computational-statistical tradeoffs have been shown under average-case…

Computational Complexity · Computer Science 2025-07-18 Guy Blanc , Caleb Koch , Carmen Strassle , Li-Yang Tan

Likelihood ratio tests are a widely used method in global analyses in particle physics. The computation of the statistical significance (p-value) of these tests is usually done with a simple formula that relies on Wilks' theorem. There are,…

High Energy Physics - Phenomenology · Physics 2013-08-21 Martin Wiebusch

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

We introduce a method for computation of exact conditional efficiency robust enumeration p-values for detection of genotype--phenotype associations at a single bi-allelic genetic locus. Our method can be based on any arbitrary ranking test…

Methodology · Statistics 2015-05-14 Max Moldovan , Mette Langaas

In exploratory data analysis, we are often interested in identifying promising pairwise associations for further analysis while filtering out weaker, less interesting ones. This can be accomplished by computing a measure of dependence on…

Methodology · Statistics 2018-03-28 David N. Reshef , Yakir A. Reshef , Pardis C. Sabeti , Michael M. Mitzenmacher