A Nonparametric Version of the Bartlett-Nanda-Pillai Multivariate Test. Asymptotics, Approximations, and Applications

DOI10.1080/01966324.2008.10737731zbMath1175.62041OpenAlexW2007522344WikidataQ58165177 ScholiaQ58165177MaRDI QIDQ5324073

Arne C. Bathke, Solomon W. Harrar

Publication date: 3 August 2009

Published in: American Journal of Mathematical and Management Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01966324.2008.10737731

zbMATH Keywords

tablesnon-normalityordinal datarank statisticsmultivariate analysis of variance

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Analysis of variance and covariance (ANOVA) (62J10)

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Uses Software

• SAS

Cites Work

• Nonparametric methods in multivariate factorial designs
• Asymptotic distribution of rank statistics under dependencies with multivariate application
• Asymptotic formulas for the non-null distributions of three statistics for multivariate linear hypothesis
• Linear rank score statistics when ties are present
• Wishart and pseudo-Wishart distributions and some applications to shape theory
• ANOVA and rank tests when the number of treatments is large
• Nonparametric methods in multivariate factorial designs for large number of factor levels
• Exact distributions of Wilks's likelihood ratio criterion
• A Nonparametric test for the Several Sample Problem
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