Central and noncentral distributions of Wilks' statistic in MANOVA as mixtures of incomplete beta functions

DOI10.1214/aos/1176343073zbMath0305.62033OpenAlexW2033484165MaRDI QIDQ1217429

G. William Walster, Marietta J. Tretter

Publication date: 1975

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176343073

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Analysis of variance and covariance (ANOVA) (62J10) Linear integral equations (45A05)

Related Items (11)

On testing homogeneity of variances for gaussian models ⋮ Development and comparative study of two near-exact approximations to the distribution of the product of an odd number of independent beta random variables ⋮ The generalized integer gamma distribution -- a basis for distributions in multivariate statistics ⋮ Likelihood ratio tests for elaborate covariance structures and for MANOVA models with elaborate covariance structures -- a review ⋮ Extensions of Wilks' integral equations and distributions of test statistics ⋮ Wilks' Integral Equations in Multivariate Distribution Theory ⋮ Distributions of characteristic roots in multivariate analysis Part II. Non-Null Distribution ⋮ Nonnull distributions of some statistics associated with testing for the equality of two covariance matrices ⋮ Remarks on the non-identifiability of mixtures of distributions ⋮ Testing independence of several groups of variables ⋮ Various representations of a generalized hypergeometric function through statistical techniques

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