Practical methods for computing power in testing the multivariate general linear hypothesis
type: Item
instance of: scholarly article
title: Practical methods for computing power in testing the multivariate general linear hypothesis
zbMATH Open document ID: 0571.65119
DOI: 10.1016/0167-9473(84)90002-1
author: Keith E. Muller
author: Bercedis L. Peterson
published in: Computational Statistics and Data Analysis
publication date: 1984-01-01T00:00:00Z
review text: Approximations (for the non-null mean case) to the following multivariate linear hypothesis tests are provided: Wilks, Hotelling, Pillai-Bartlett trace. These approximations use the non-central F distribution. Selection of a test statistic for experimental designs is made, and a table of notation equivalences for the tests and algorithms for power computation (direct and indirect) are given.
Mathematics Subject Classification ID: 65C99
Mathematics Subject Classification ID: 62H15
Mathematics Subject Classification ID: 62K05
zbMATH DE Number: 3911674
zbMATH Keywords: MANOVA
zbMATH Keywords: noncentral distributions
zbMATH Keywords: Wilks' lambda
zbMATH Keywords: Hotelling-Lawley trace
zbMATH Keywords: Pillai-Bartlett trace
zbMATH Keywords: F approximations
reviewed by: L. F. Pau
MaRDI profile type: Publication
full work available at URL: 0167-9473(84)90002-1
OpenAlex ID: W2067813945
cites work: Q5786969
cites work: A GENERAL DISTRIBUTION THEORY FOR A CLASS OF LIKELIHOOD CRITERIA
cites work: Some symmetric, invariant measures of multivariate association
cites work: Q4074230
cites work: Charts of Some Upper Percentage Points of the Distribution of the Largest Characteristic Root
cites work: Asymptotic Formulae for the Distribution of Hotelling's Generalized $T^2_0$ Statistic
cites work: Asymptotic Formulae for the Distribution of Hotelling's Generalized $T_0^2$ Statistic. II
cites work: Q5615180
cites work: Some Results on the Non-Central Multivariate Beta Distribution and Moments of Traces of Two Matrices
cites work: Q5658988
cites work: Asymptotic formulae for the distribution of a multivariate test statistic: Power comparisons of certain multivariate tests
cites work: Distribution of the Canonical Correlations and Asymptotic Expansions for Distributions of Certain Independence Test Statistics
cites work: A comparison of tests of the Wilks-Lawley hypothesis in multivariate analysis
cites work: Q5574451
cites work: Distributions of a Class of Statistics Useful in Multivariate Analysis
cites work: Comparative Robustness of Six Tests in Multivariate Analysis of Variance
cites work: ON THE DISTRIBUTION OF THE LARGEST OR THE SMALLEST ROOT OF A MATRIX IN MULTIVARIATE ANALYSIS
cites work: On the distribution of the largest characteristic root of a matrix in multivariate analysis
cites work: On the exact distribution of Wilks's criterion
cites work: Q5816334
cites work: Linear Statistical Inference and its Applications
cites work: Exact distributions of Wilks's likelihood ratio criterion
cites work: Asymptotic Expansions of the Non-Null Distributions of the Likelihood Ratio Criteria for Multivariate Linear Hypothesis and Independence
cites work: CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE
description: scientific article; zbMATH DE number 3911674