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Sequential decision making significantly speeds up research and is more cost-effective compared to fixed-n methods. We present a method for sequential decision making for stratified count data that retains Type-I error guarantee or false…

Methodology · Statistics 2023-02-23 Rosanne J. Turner , Peter D. Grünwald

Increasing accessibility of data to researchers makes it possible to conduct massive amounts of statistical testing. Rather than follow a carefully crafted set of scientific hypotheses with statistical analysis, researchers can now test…

Genomics · Quantitative Biology 2016-09-08 Olga A. Vsevolozhskaya , Chia-Ling Kuo , Gabriel Ruiz , Luda Diatchenko , Dmitri V. Zaykin

It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

A scientist tests a continuous stream of hypotheses over time in the course of her investigation -- she does not test a predetermined, fixed number of hypotheses. The scientist wishes to make as many discoveries as possible while ensuring…

Methodology · Statistics 2023-11-14 Ziyu Xu , Aaditya Ramdas

A fundamental class of inferential problems are those characterised by there having been a substantial degree of pre-data (or prior) belief that the value of a model parameter was equal or lay close to a specified value, which may, for…

Other Statistics · Statistics 2021-01-26 Russell J. Bowater

The role of statisticians in society is to provide tools, techniques, and guidance with regards to how much to trust data. This role is increasingly more important with more data and more misinformation than ever before. The American…

Physics and Society · Physics 2020-07-08 Joshua T. Vogelstein

E-values have gained attention as potential alternatives to p-values as measures of uncertainty, significance and evidence. In brief, e-values are realized by random variables with expectation at most one under the null; examples include…

Statistics Theory · Mathematics 2021-12-16 Ruodu Wang , Aaditya Ramdas

Background: Non-inferiority studies based on non-randomised data are increasingly used in clinical research but remain prone to unmeasured confounding. The classical E-value offers a simple way to quantify such bias but has been applied…

Methodology · Statistics 2025-11-25 Daijiro Kabata , Takumi Imai

Statistical hypothesis testing serves as statistical evidence for scientific innovation. However, if the reported results are intentionally biased, hypothesis testing no longer controls the rate of false discovery. In particular, we study…

Methodology · Statistics 2018-10-12 Junpei Komiyama , Takanori Maehara

Empirical research in Natural Language Processing (NLP) has adopted a narrow set of principles for assessing hypotheses, relying mainly on p-value computation, which suffers from several known issues. While alternative proposals have been…

Computation and Language · Computer Science 2020-05-06 Erfan Sadeqi Azer , Daniel Khashabi , Ashish Sabharwal , Dan Roth

In applied settings, tests of hypothesis where a nuisance parameter is only identifiable under the alternative often reduces into one of Testing One Hypothesis Multiple times (TOHM). Specifically, a fine discretization of the space of the…

Methodology · Statistics 2022-04-06 Sara Algeri , David A. van Dyk

The widespread adoption of online randomized controlled experiments (A/B Tests) for decision-making has created ongoing capacity constraints which necessitate interim analyses. As a consequence, platform users are increasingly motivated to…

Applications · Statistics 2025-11-11 Abbas Zaidi , Rina Friedberg , Samir Khan , Yao-Yang Leow , Maulik Soneji , Houssam Nassif , Richard Mudd

In large-scale hypothesis testing, computing exact $p$-values or $e$-values is often resource-intensive, creating a need for budget-aware inferential methods. We propose a general framework for active hypothesis testing that leverages…

Methodology · Statistics 2026-04-09 Qi Kuang , Bowen Gang , Yin Xia

We present the expected values from p-value hacking as a choice of the minimum p-value among $m$ independents tests, which can be considerably lower than the "true" p-value, even with a single trial, owing to the extreme skewness of the…

Applications · Statistics 2018-01-29 Nassim Nicholas Taleb

We study the stability of posterior predictive inferences to the specification of the likelihood model and perturbations of the data generating process. In modern big data analyses, useful broad structural judgements may be elicited from…

Methodology · Statistics 2024-04-30 Jack Jewson , Jim Q. Smith , Chris Holmes

Probabilistic predictions from neural networks which account for predictive uncertainty during classification is crucial in many real-world and high-impact decision making settings. However, in practice most datasets are trained on…

Machine Learning · Computer Science 2022-09-30 Satya Borgohain , Klaus Ackermann , Ruben Loaiza-Maya

Despite its common practice, statistical hypothesis testing presents challenges in interpretation. For instance, in the standard frequentist framework there is no control of the type II error. As a result, the non-rejection of the null…

Statistics Theory · Mathematics 2018-05-15 Victor Coscrato , Rafael Izbicki , Rafael Bassi Stern

For AI systems to garner widespread public acceptance, we must develop methods capable of explaining the decisions of black-box models such as neural networks. In this work, we identify two issues of current explanatory methods. First, we…

Computation and Language · Computer Science 2019-12-06 Oana-Maria Camburu , Eleonora Giunchiglia , Jakob Foerster , Thomas Lukasiewicz , Phil Blunsom

Bayesian hypothesis testing is re-examined from the perspective of an a priori assessment of the test statistic distribution under the alternative. By assessing the distribution of an observable test statistic, rather than prior parameter…

Statistics Theory · Mathematics 2018-08-28 Hedibert F. Lopes , Nicholas G. Polson

P-hacking poses challenges to traditional hypothesis testing. In this paper, we propose a robust method for the one-sample significance test that can protect against p-hacking from sample manipulation. Precisely, assuming a sequential…

Statistics Theory · Mathematics 2025-02-18 Xifeng Li , Shuzhen Yang , Jianfeng Yao