Distributional properties for the generalized \(p\)-value for the Behrens-Fisher problem

DOI10.1016/j.spl.2006.05.005zbMath1118.62025OpenAlexW2058400773MaRDI QIDQ870313

Shijie Tang, Kam-Wah Tsui

Publication date: 12 March 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2006.05.005

zbMATH Keywords

Behrens-Fisher problemgeneralized \(p\)-valueactual size of testsrepeated sampling performance

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Statistical distribution theory (62E99)

Related Items (5)

Simultaneous testing of multiple hypotheses using generalized \(p\)-values ⋮ Upper bound of the generalized \(p\) value for the population variances of lognormal distributions with known coefficients of variation ⋮ A generalizedp-value approach to inference on the performance measures of anM/E_k/1queueing system ⋮ On the two-sample Behrens-Fisher problem for functional data ⋮ On the \(k\)-sample Behrens-Fisher problem for high-dimensional data

Cites Work

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• Properties of Students t and of the Behrens-Fisher solution to the two means problem
• Generalized \(p\)-values and generalized confidence regions for the multivariate Behrens-Fisher problem and MANOVA.
• Posterior predictive \(p\)-values
• Size performance of some tests in one-way anova

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