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As neural networks become more popular, the need for accompanying uncertainty estimates increases. There are currently two main approaches to test the quality of these estimates. Most methods output a density. They can be compared by…

机器学习 · 统计学 2024-06-05 Laurens Sluijterman , Eric Cator , Tom Heskes

This paper considers inference when there is a single treated cluster and a fixed number of control clusters, a setting that is common in empirical work, especially in difference-in-differences designs. We use the t-statistic and develop…

计量经济学 · 经济学 2025-11-11 Chun Pong Lau , Xinran Li

When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

应用统计 · 统计学 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

This technical report revisits the analysis of family-wise error rates in statistical parametric mapping - using random field theory - reported in (Eklund et al., 2015). Contrary to the understandable spin that these sorts of analyses…

应用统计 · 统计学 2016-06-28 Guillaume Flandin , Karl J. Friston

When testing many hypotheses, often we do not have strong expectations about the directions of the effects. In some situations however, the alternative hypotheses are that the parameters lie in a certain direction or interval, and it is in…

统计方法学 · 统计学 2026-03-02 Jesse Hemerik

A number of biomedical problems require performing many hypothesis tests, with an attendant need to apply stringent thresholds. Often the data take the form of a series of predictor vectors, each of which must be compared with a single…

统计方法学 · 统计学 2014-05-13 Yi-Hui Zhou , Fred Wright

Recent research in clustering face embeddings has found that unsupervised, shallow, heuristic-based methods -- including $k$-means and hierarchical agglomerative clustering -- underperform supervised, deep, inductive methods. While the…

计算机视觉与模式识别 · 计算机科学 2022-11-11 Tyler R. Scott , Ting Liu , Michael C. Mozer , Andrew C. Gallagher

The one sided Z test of elementary statistics is more powerful than the two-sided test of the same size.

统计理论 · 数学 2012-02-06 Trrry R. McConnell

We are glad that our paper has generated intense discussions in the fMRI field, on how to analyze fMRI data and how to correct for multiple comparisons. The goal of the paper was not to disparage any specific fMRI software, but to point out…

应用统计 · 统计学 2017-05-31 Anders Eklund , Thomas Nichols , Hans Knutsson

Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

统计方法学 · 统计学 2012-03-06 David Shilane , Derek Bean

Clustering is part of unsupervised analysis methods that consist in grouping samples into homogeneous and separate subgroups of observations also called clusters. To interpret the clusters, statistical hypothesis testing is often used to…

统计方法学 · 统计学 2022-10-25 Benjamin Hivert , Denis Agniel , Rodolphe Thiébaut , Boris P Hejblum

Normalized mutual information is widely used as a similarity measure for evaluating the performance of clustering and classification algorithms. In this paper, we argue that results returned by the normalized mutual information are biased…

社会与信息网络 · 计算机科学 2025-12-23 Maximilian Jerdee , Alec Kirkley , M. E. J. Newman

This paper provides a new unimodality test with application in hierarchical clustering methods. The proposed method denoted by signature test (Sigtest), transforms the data based on its statistics. The transformed data has much smaller…

机器学习 · 计算机科学 2014-01-10 Mahdi Shahbaba , Soosan Beheshti

A vast number of different methods are available for unsupervised classification. Since no algorithm and parameter setting performs best in all types of data, there is a need for cluster validation to select the actually best-performing…

机器学习 · 计算机科学 2023-08-09 Zoltán Botta-Dukát

Two-sample tests evaluate whether two samples are realizations of the same distribution (the null hypothesis) or two different distributions (the alternative hypothesis). We consider a new setting for this problem where sample features are…

机器学习 · 计算机科学 2022-07-20 Weizhi Li , Gautam Dasarathy , Karthikeyan Natesan Ramamurthy , Visar Berisha

Permutation methods are commonly used to test significance of regressors of interest in general linear models (GLMs) for functional (image) data sets, in particular for neuroimaging applications as they rely on mild assumptions. Permutation…

统计方法学 · 统计学 2021-11-23 Tomas Mrkvicka , Mari Myllymaki , Mikko Kuronen , Naveen Naidu Narisetty

Group testing is an efficient method for testing a large population to detect infected individuals. In this paper, we consider an efficient adaptive two stage group testing scheme. Using a straightforward analysis, we characterize the…

统计方法学 · 统计学 2020-08-26 Arjun Kodialam

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

机器学习 · 统计学 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

There has been a wide interest to extend univariate and multivariate nonparametric procedures to clustered and hierarchical data. Traditionally, parametric mixed models have been used to account for the correlation structures among the…

统计理论 · 数学 2018-03-02 Jaakko Nevalainen , Denis Larocque , Hannu Oja , Ilkka Pörsti

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

统计方法学 · 统计学 2015-11-12 A. B. Owen , J. Wang