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Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we present a differentially private analogue of the classic Wilcoxon signed-rank hypothesis test, which is…

Cryptography and Security · Computer Science 2018-09-06 Simon Couch , Zeki Kazan , Kaiyan Shi , Andrew Bray , Adam Groce

Summary Background Claims made in science papers are coming under increased scrutiny with many claims failing to replicate. Meta-analysis studies that use unreliable observational studies should be in question. We examine the reliability of…

Applications · Statistics 2019-02-05 S. Stanley Young , Mithun Kumar Acharjee , Kumer Das

Background: The standard regulatory approach to assess replication success is the two-trials rule, requiring both the original and the replication study to be significant with effect estimates in the same direction. The sceptical p-value…

Methodology · Statistics 2025-05-01 Jeanette Köppe , Charlotte Micheloud , Stella Erdmann , Rachel Heyard , Leonhard Held

When researchers carry out a null hypothesis significance test, it is tempting to assume that a statistically significant result lowers Prob(H0), the probability of the null hypothesis being true. Technically, such a statement is…

Applications · Statistics 2022-04-19 Daniel J. Schad , Shravan Vasishth

In this paper we use e-values in the context of multiple hypothesis testing assuming that the base tests produce independent, or sequential, e-values. Our simulation and empirical studies and theoretical considerations suggest that, under…

Methodology · Statistics 2024-08-14 Vladimir Vovk , Ruodu Wang

Many practical studies rely on hypothesis testing procedures applied to data sets with missing information. An important part of the analysis is to determine the impact of the missing data on the performance of the test, and this can be…

Methodology · Statistics 2011-02-15 Dan L. Nicolae , Xiao-Li Meng , Augustine Kong

In this study, we propose a two-stage procedure for hypothesis testing, where the first stage is conventional hypothesis testing and the second is an equivalence testing procedure using an introduced Empirical Equivalence Bound. In 2016,…

Methodology · Statistics 2020-01-01 Yi Zhao , Brian S. Caffo , Joshua B. Ewen

Results from clinical trials can be susceptible to bias if investigators choose their analysis approach after seeing trial data, as this can allow them to perform multiple analyses and then choose the method that provides the most…

Methodology · Statistics 2020-07-17 Brennan C Kahan , Gordon Forbes , Suzie Cro

This article addresses issues of model criticism and model comparison in Bayesian contexts, and focusses on the use of the so-called posterior predictive p-values (ppp values). These involve a general discrepancy or conflict measure and…

Methodology · Statistics 2026-05-26 Nils Lid Hjort , Fredrik A. Dahl , Gunnhildur Högnadóttir Steinbakk

Robustness is a fundamental property of machine learning classifiers required to achieve safety and reliability. In the field of adversarial robustness of image classifiers, robustness is commonly defined as the stability of a model to all…

Machine Learning · Computer Science 2024-05-28 Georg Siedel , Weijia Shao , Silvia Vock , Andrey Morozov

Statistical significance testing is used in natural language processing (NLP) to determine whether the results of a study or experiment are likely to be due to chance or if they reflect a genuine relationship. A key step in significance…

Computation and Language · Computer Science 2024-01-01 Palash Goyal , Qian Hu , Rahul Gupta

In their recent comment, published in Nature, Jeffrey T.Leek and Roger D.Peng discuss how P-values are widely abused in null hypothesis significance testing . We agree completely with them and in this short comment we discuss the importance…

Quantum Physics · Physics 2015-05-26 Marian Kupczynski

Cross-validation is one of the most popular model selection methods in statistics and machine learning. Despite its wide applicability, traditional cross validation methods tend to select overfitting models, due to the ignorance of the…

Methodology · Statistics 2017-12-25 Jing Lei

In contrast to its common definition and calculation, interpretation of p-values diverges among statisticians. Since p-value is the basis of various methodologies, this divergence has led to a variety of test methodologies and evaluations…

Methodology · Statistics 2012-12-27 Tomokazu Konishi

Large language models have demonstrated great potential to assist programmers in generating code. For such human-AI pair programming scenarios, we empirically demonstrate that while generated code is most often evaluated in terms of their…

Software Engineering · Computer Science 2023-06-14 Victor Dibia , Adam Fourney , Gagan Bansal , Forough Poursabzi-Sangdeh , Han Liu , Saleema Amershi

Many testing problems are readily amenable to randomised tests such as those employing data splitting. However despite their usefulness in principle, randomised tests have obvious drawbacks. Firstly, two analyses of the same dataset may…

Methodology · Statistics 2024-09-05 F. Richard Guo , Rajen D. Shah

We examine hypothesis testing within a principal-agent framework, where a strategic agent, holding private beliefs about the effectiveness of a product, submits data to a principal who decides on approval. The principal employs a hypothesis…

Machine Learning · Computer Science 2025-08-06 Safwan Hossain , Yatong Chen , Yiling Chen

In modern engineering, computer simulations are a popular tool to analyse, design, and optimize systems. Furthermore, concepts of uncertainty and the related reliability analysis and robust design are of increasing importance. Hence, an…

Computation · Statistics 2017-05-12 R. Schöbi , B. Sudret

Neural networks are becoming increasingly prevalent in software, and it is therefore important to be able to verify their behavior. Because verifying the correctness of neural networks is extremely challenging, it is common to focus on the…

Machine Learning · Computer Science 2019-02-19 Ravi Mangal , Aditya V. Nori , Alessandro Orso

A/B tests are typically analyzed via frequentist p-values and confidence intervals; but these inferences are wholly unreliable if users endogenously choose samples sizes by *continuously monitoring* their tests. We define *always valid*…

Statistics Theory · Mathematics 2019-07-18 Ramesh Johari , Leo Pekelis , David J. Walsh