Significance Test for Sphericity of a Normal $n$-Variate Distribution
From MaRDI portal
Publication:5777362
DOI10.1214/aoms/1177731915zbMath0023.24703OpenAlexW1980455221WikidataQ59487538 ScholiaQ59487538MaRDI QIDQ5777362
Publication date: 1940
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177731915
Related Items (31)
Semiparametrically efficient rank-based inference for shape. I: optimal rank-based tests for sphericity ⋮ Semiparametrically efficient rank-based inference for shape. II: Optimal \(R\)-estimation of shape ⋮ The mixed model for multivariate repeated measures: Validity conditions and an approximate test ⋮ Moderate deviation principles for classical likelihood ratio tests of high-dimensional normal distributions ⋮ Asymptotic power of sphericity tests for high-dimensional data ⋮ On the sphericity test with large-dimensional observations ⋮ Central limit theorems for classical likelihood ratio tests for high-dimensional normal distributions ⋮ Singular majorants and minorants: enhanced design conditioning ⋮ Choosing and modeling your mixed linear model ⋮ A significance test for multisample sphericity ⋮ Distribution of the Λ-Criterion for Sphericity Test and Its Connection to a Generalized Dirichlet Model ⋮ A priori tests in repeated measures designs: Effects of nonsphericity ⋮ Testing sphericity using small samples ⋮ Forms for the distribution of ss ilkptxcxtt statistic for bivariate sphericity ⋮ High-dimensional rank tests for sphericity ⋮ A gamma analogue of the wilson-hilferty transformation ⋮ A nonparametric test for bivariate circular symmetry based on the empirical cdf ⋮ Likelihood ratio test for partial sphericity in high and ultra-high dimensions ⋮ One-way multivariate repeated measurements analysis of variance model ⋮ A Viable Alternative to Resorting to Statistical Tables ⋮ Completeness theorems for characterizing distribution-free statistics ⋮ Asymptotic Expansions of the Non-Null Distribution of the Likelihood Ratio Criterion for Multisample Sphericity ⋮ Tests and estimates of shape based on spatial signs and ranks ⋮ Independence and sphericity tests for the residuals of space-time arma models ⋮ Multivariate normal inference based on singly imputed synthetic data under plug-in sampling ⋮ On mitigating collinearity through mixtures ⋮ Orthogonal polynomials, repeated measures, and SPSS ⋮ Simplified estimation and testing in unbalanced repeated measures designs ⋮ Blind identification of MISO-FIR channels ⋮ Robust modified classical spherical tests in the presence of outliers ⋮ Testing simultaneously different covariance block diagonal structures – the multi-sample case
This page was built for publication: Significance Test for Sphericity of a Normal $n$-Variate Distribution