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Simulation Studies For Goodness-of-Fit and Two-Sample Methods For Univariate Data

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arxiv 2411.05839 v2 pith:SVSIXZTP submitted 2024-11-06 stat.ME hep-ex

classification stat.MEhep-ex
keywords studiesdatagoodmethodspowergoodness-of-fitmethodnumber
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We present the results of a large number of simulation studies regarding the power of various goodness-of-fit as well as nonparametric two-sample tests for univariate data. This includes both continuous and discrete data. In general no single method can be relied upon to provide good power, any one method may be quite good for some combination of null hypothesis and alternative and may fail badly for another. Based on the results of these studies we propose a fairly small number of methods chosen such that for any of the case studies included here at least one of the methods has good power. The studies were carried out using the R packages R2sample and Rgof, available from CRAN.

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  1. Priority-preserving augmentation of goodness-of-fit tests by conditional calibration

    stat.ME 2026-07 accept novelty 5.0 of 10

    Augmenting an omnibus test with conditionally calibrated secondary statistics and a small Type I error budget preserves primary power and sharply increases sensitivity to feature-specific departures.

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