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Power Function Studies (Q5750172)

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scientific article; zbMATH DE number 4184725

Language	Label	Description	Also known as
English	Power Function Studies	scientific article; zbMATH DE number 4184725

Statements

scholarly article

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Power Function Studies (English)

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Edward M. Carter

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American Journal of Mathematical and Management Sciences

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publication date

1989

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zbMATH Keywords

asymptotic

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MANOVA

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equality of covariances

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sphericity

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robustness

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power

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/01966324.1989.10737253

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An Asymptotic Expansion for the Distribution of the Latent Roots of the Estimated Covariance Matrix

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A Monotonicity Property of the Power Functions of Some Tests of the Equality of Two Covariance Matrices

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Monotonicity of the Power Functions of Some Tests of Independence between Two Sets of Variates

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On the Power of the $L_1$ Test for Equality of Several Variances

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Monotonicity of the power functions of modified likelihood ratio criterion for the homogeneity of variances and of the sphericity test

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Asymptotic distribution of the latent roots of the noncentral wishart distribution and the power of the likelihood ratio test for nonadditivity

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Asymptotic non-null distribution for the locally most powerful invariant test for sphericity

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Power comparisons of two-sided tests of equality of two covariance matrices based on six criteria

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Some complex variable transformations and exact power comparisons of two- sided tests of equality of two Hermitian covariance matrices

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On some distribution problems in Manova and discriminant analysis

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On the Exact Distributions of Likelihood Ratio Criteria for Testing Independence of Sets of Variates Under the Null Hypothesis

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On the Exact Distributions of the Criterion $W$ for Testing Sphericity in a $p$-Variate Normal Distribution

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Properties of Power Functions of Some Tests Concerning Dispersion Matrices of Multivariate Normal Distributions

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Monotonicity of the Power Functions of Some Tests of the Multivariate Linear Hypothesis

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On the power of Wilks' U-test for MANOVA

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The order statistics of the negative binomial distribution

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Percentile approximations for a class of likelihood ratio criteria

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A monotonicity property of the power functions of some invariant tests for MANOVA

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Asymptotic formulas for the distributions of three statistics for multivariate linear hypothesis

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Monotonicity of the power functions of some tests in general MANOVA models

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On Tests of the Equality of Two Covariance Matrices

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Minimax Character of Hotelling's $T^2$ Test in the Simplest Case

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Charts of Some Upper Percentage Points of the Distribution of the Largest Characteristic Root

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The Generalization of Student's Ratio

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Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

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The distribution of a statistic used for testing sphericity of normal distributions

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The general MANOVA problem

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On the Non-Central Distributions of Two Test Criteria in Multivariate Analysis of Variance

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Asymptotic expansions of the non-null distributions of likelihood ratio criteria for covariance matrices

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Admissible Bayes Character of $T^2-, R^2-$, and Other Fully Invariant Tests for Classical Multivariate Normal Problems

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Asymptotic formulae for the distribution of a multivariate test statistic: Power comparisons of certain multivariate tests

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The Exact Distribution of Wilks' Criterion

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A Class of Tests with Monotone Power Functions for Two Problems in Multivariate Statistical Analysis

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On the Test of Independence Between Two Sets of Variates

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Powers of the largest latent root test of ∑= I

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Asymptotic expansions for the joint and marginal distributions of the latent roots of the covariance matrix

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Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations

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On some test criteria for covariance matrix

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Asymptotic expansions of the distribution of Bartlett's test and sphericity test under the local alternatives

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Asymptotic non-null distributions of two test criteria for equality of covariance matrices under local alternatives

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The distribution of the sphericity test criterion

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Distribution of the Sum of Roots of a Determinantal Equation under a Certain Condition

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On the monotonicity of the power functions of tests based on traces of multivariate beta matrices

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Unbiasedness of invariant tests for MANOVA and other multivariate problems

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Some New Test Criteria in Multivariate Analysis

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On the exact distribution of Wilks's criterion

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On the robustness of hotelling's T<sup>2</sup>-test anb distribution of linear and quadratic forms III sampling from a mixture of two mult11ariate normal populations

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On monotonicity of the modified likelihood ratio test for the equality of two covariances

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The Admissibility of Hotelling's $T^2$-Test

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Asymptotic Expansions of the Distributions of the Likelihood Ratio Criteria for Covariance Matrix

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Locally Best Invariant Test for Sphericity and the Limiting Distributions

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Further asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis

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Asymptotic non-null distributions of the likelihood ratio criteria for covariance matrix under local alternatives

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Robust statistics for testing mean vectors of multivariate distributions

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Asymptotic distribution of the sample roots for a nonnormal population

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Sample Criteria for Testing Equality of Means, Equality of Variances, and Equality of Covariances in a Normal Multivariate Distribution

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Identifiers

zbMATH Open document ID

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10.1080/01966324.1989.10737253

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5750172

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