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Since its introduction by Fisher, the method of hypothesis testing that relies on computing error probabilities has witnessed several developments. Perhaps the most significant development was the seminal contributions of Neyman and Pearson…

其他统计学 · 统计学 2026-05-08 Reason Machete

Clinical trials often seek to determine the superiority, equivalence, or non-inferiority of an experimental condition (e.g., a new drug) compared to a control condition (e.g., a placebo or an already existing drug). The use of frequentist…

其他统计学 · 统计学 2022-05-09 Maximilian Linde , Don van Ravenzwaaij

fixest is an R package for fast and flexible econometric estimation. It provides a unified framework for applied research, with comprehensive support for a diverse class of models: ordinary least squares, instrumental variables, generalized…

计量经济学 · 经济学 2026-04-06 Laurent R. Bergé , Kyle Butts , Grant McDermott

Sensitivity Analysis is a framework to assess how conclusions drawn from missing outcome data may be vulnerable to departures from untestable underlying assumptions. We extend the E-value, a popular metric for quantifying robustness of…

统计方法学 · 统计学 2021-08-31 Wu Xue , Abbas Zaidi

In Bayesian statistics the precise point-null hypothesis $\theta=\theta_0$ can be tested by checking whether $\theta_0$ is contained in a credible set. This permits testing of $\theta=\theta_0$ without having to put prior probabilities on…

统计理论 · 数学 2015-03-11 Måns Thulin

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

统计方法学 · 统计学 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

We propose a new approach to formally describing the requirement for statistical inference and checking whether a program uses the statistical method appropriately. Specifically, we define belief Hoare logic (BHL) for formalizing and…

人工智能 · 计算机科学 2023-12-05 Yusuke Kawamoto , Tetsuya Sato , Kohei Suenaga

Testing the (in)equality of variances is an important problem in many statistical applications. We develop default Bayes factor tests to assess the (in)equality of two or more population variances, as well as a test for whether the…

统计方法学 · 统计学 2022-08-02 Fabian Dablander , Don van den Bergh , Eric-Jan Wagenmakers , Alexander Ly

Robust statistical data modelling under potential model mis-specification often requires leaving the parametric world for the nonparametric. In the latter, parameters are infinite dimensional objects such as functions, probability…

In a recent opinion article, Muff et al. recapitulate well-known objections to the Neyman-Pearson Null-Hypothesis Significance Testing (NHST) framework and call for reforming our practices in statistical reporting. We agree with them on…

定量方法 · 定量生物学 2022-05-30 Florian Hartig , Frédéric Barraquand

Null hypothesis significance tests and p values are widely used despite very strong arguments against their use in many contexts. Confidence intervals are often recommended as an alternative, but these do not achieve the objective of…

统计方法学 · 统计学 2014-02-12 Michael Wood

The empirical Bayes normal means (EBNM) model is important to many areas of statistics, including (but not limited to) multiple testing, wavelet denoising, and gene expression analysis. There are several existing software packages that can…

统计计算 · 统计学 2024-04-02 Jason Willwerscheid , Peter Carbonetto , Matthew Stephens

False discovery rates (FDR) are an essential component of statistical inference, representing the propensity for an observed result to be mistaken. FDR estimates should accompany observed results to help the user contextualize the relevance…

统计方法学 · 统计学 2020-10-12 Megan Hollister Murray , Jeffrey D. Blume

The following paper presents nonprobsvy -- an R package for inference based on non-probability samples. The package implements various approaches that can be categorized into three groups: prediction-based approach, inverse probability…

统计方法学 · 统计学 2025-08-21 Łukasz Chrostowski , Piotr Chlebicki , Maciej Beręsewicz

P-values are widely used in both the social and natural sciences to quantify the statistical significance of observed results. The recent surge of big data research has made the p-value an even more popular tool to test the significance of…

应用统计 · 统计学 2023-01-05 Bertie Vidgen , Taha Yasseri

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

统计方法学 · 统计学 2011-04-15 Pietro Berkes , Jozsef Fiser

Which type of statistical uncertainty -- statistical (in)significance with a p-value, or a Bayesian probability -- enables people to see the continuous nature of uncertainty more clearly in a policymaking context? An original survey…

其他统计学 · 统计学 2024-02-20 Akisato Suzuki

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Feature selection with high-dimensional data and a very small proportion of relevant features poses a severe challenge to standard statistical methods. We have developed a new approach (HARVEST) that is straightforward to apply, albeit…

机器学习 · 统计学 2018-03-01 Herbert Weisberg , Victor Pontes , Mathis Thoma

The random-effects or normal-normal hierarchical model is commonly utilized in a wide range of meta-analysis applications. A Bayesian approach to inference is very attractive in this context, especially when a meta-analysis is based only on…

统计计算 · 统计学 2020-04-29 Christian Röver