Optimal bounds for the distributions of some test criteria for tests of dimensionality

DOI10.1093/biomet/71.3.561zbMath0573.62048OpenAlexW2134045360MaRDI QIDQ3690881

James R. Schott

Publication date: 1984

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/biomet/71.3.561

zbMATH Keywords

discriminant functionmultivariate analysis of variancesmall sample sizedistribution of latent rootssharp upper boundschi-squared approximationscommon scale matrixhypotheses of dimensionality of the mean vectorsnoncentral Wishart matricesnormal multivariate linear hypothesistest of dimensionality

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15)

Related Items (10)

Upper Limits for Criteria for Tests of Dimensionality Under Elliptical Populations ⋮ Dimensionality reduction in quadratic discriminant analysis ⋮ Inferring the rank of a matrix ⋮ A note on the critical values used in stepwise tests for multiplicative components of interaction ⋮ Comparison of powers and exact bahadur slopes of some tests for dimensionality in manova models ⋮ Inference on covariance matrices under rank restrictions ⋮ A Closed Testing Procedure for Canonical Correlations ⋮ Dimensionality in MANOVA tested by a closed testing procedure. ⋮ Asymptotics for tests on mean profiles, additional information and dimensionality under non-normality ⋮ A Comparison of Some Tests for Determining the Number of Nonzero Canonical Correlations

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