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Several hypothesis testing methods have been proposed to validate the assumption of isotropy in spatial point patterns. A majority of these methods are characterised by an unknown distribution of the test statistic under the null hypothesis…

统计方法学 · 统计学 2025-04-09 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin

We propose a novel finite-sample procedure for testing composite null hypotheses. Traditional likelihood ratio tests based on asymptotic $\chi^2$ approximations often exhibit substantial bias in small samples. Our procedure rejects the…

统计方法学 · 统计学 2026-01-07 Joonha Park , Ming Wang

$P$-values that are derived from continuously distributed test statistics are typically uniformly distributed on $(0,1)$ under least favorable parameter configurations (LFCs) in the null hypothesis. Conservativeness of a $p$-value $P$…

统计方法学 · 统计学 2023-03-13 Daniel Ochieng , Anh-Tuan Hoang , Thorsten Dickhaus

Statistical significance testing is widely accepted as a means to assess how well a difference in effectiveness reflects an actual difference between systems, as opposed to random noise because of the selection of topics. According to…

信息检索 · 计算机科学 2019-06-07 Julián Urbano , Harlley Lima , Alan Hanjalic

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

统计理论 · 数学 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

计量经济学 · 经济学 2025-11-27 Bruno Fava

Verifying that a statistically significant result is scientifically meaningful is not only good scientific practice, it is a natural way to control the Type I error rate. Here we introduce a novel extension of the p-value - a…

统计方法学 · 统计学 2018-07-04 Jeffrey D. Blume , Lucy DAgostino McGowan , William D. Dupont , Robert A. Greevy

Testing to see whether a given data set comes from some specified distribution is among the oldest types of problems in Statistics. Many such tests have been developed and their performance studied. The general result has been that while a…

应用统计 · 统计学 2020-12-07 Wolfgang Rolke

The framework of distribution testing is currently ubiquitous in the field of property testing. In this model, the input is a probability distribution accessible via independently drawn samples from an oracle. The testing task is to…

数据结构与算法 · 计算机科学 2022-09-22 Sourav Chakraborty , Eldar Fischer , Arijit Ghosh , Gopinath Mishra , Sayantan Sen

This paper introduces a statistical test inferring whether a variable allows separating two classes by means of a single critical value. Its test statistic is the prediction error of a nonparametric threshold classifier. While this approach…

统计方法学 · 统计学 2017-07-17 Fabian Schroeder

You measure the value of a quantity x for a number of systems (cells, molecules, people, chunks of metal, DNA vectors, etc.). You repeat the whole set of measures in different occasions or assays, which you try to design as equal to one…

定量方法 · 定量生物学 2013-11-04 Pablo Echenique-Robba , María Alejandra Nelo-Bazán , José A. Carrodeguas

Classical change point analysis aims at (1) detecting abrupt changes in the mean of a possibly non-stationary time series and at (2) identifying regions where the mean exhibits a piecewise constant behavior. In many applications however, it…

统计理论 · 数学 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

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…

统计方法学 · 统计学 2011-02-15 Dan L. Nicolae , Xiao-Li Meng , Augustine Kong

We introduce a set of resampling-based methods for quantifying uncertainty and statistical precision of evaluation metrics in multilingual and/or multitask NLP benchmarks. We show how experimental variation in performance scores arises from…

计算与语言 · 计算机科学 2025-12-19 Jonne Sälevä , Duygu Ataman , Constantine Lignos

Most of the literature on change-point analysis by means of hypothesis testing considers hypotheses of the form H0 : \theta_1 = \theta_2 vs. H1 : \theta_1 != \theta_2, where \theta_1 and \theta_2 denote parameters of the process before and…

统计方法学 · 统计学 2016-11-26 Holger Dette , Dominik Wied

Assessment of replicability is critical to ensure the quality and rigor of scientific research. In this paper, we discuss inference and modeling principles for replicability assessment. Targeting distinct application scenarios, we propose…

统计方法学 · 统计学 2021-05-11 Yi Zhao , Xiaoquan Wen

Clinicians and scientists have traditionally focussed on whether their findings will be replicated and are very familiar with the concept. The probability that a replication study yields an effect with the same sign, or the same statistical…

应用统计 · 统计学 2025-12-17 Huw Llewelyn

Statistical dependence between hypotheses poses a significant challenge to the stability of large scale multiple hypotheses testing. Ignoring it often results in an unacceptably large spread in the false positive proportion even though the…

统计方法学 · 统计学 2018-10-15 Sairam Rayaprolu , Zhiyi Chi

We introduce a new discrepancy score between two distributions that gives an indication on their similarity. While much research has been done to determine if two samples come from exactly the same distribution, much less research…

机器学习 · 计算机科学 2012-10-16 Maayan Harel , Shie Mannor

Results of simulation studies evaluating the performance of statistical methods are often considered actionable and thus can have a major impact on the way empirical research is implemented. However, so far there is limited evidence about…