Asymptotically distribution-free aligned rank order tests for composite hypotheses for general multivariate linear models

DOI10.1007/BF00535470zbMath0342.62040OpenAlexW2017912706MaRDI QIDQ4110477

Pranab Kumar Sen, Madan Lal Puri

Publication date: 1977

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535470

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Linear regression; mixed models (62J05)

Related Items

Aligned Rank Transform Techniques for Analysis of Variance and Multiple Comparisons ⋮ Tests of the parallelism of several regression surfaces based on rank- order estimates ⋮ Asymptotic optimality of nonparametric tests for restricted alternatives in some multivariate mixed models ⋮ On shrinkage r-estimation in a multiple regression model ⋮ Multivariate linear rank statistics for profile analysis ⋮ Statistical inference based on aligned ranks for two-way MANOVA with interaction ⋮ A weighted dispersion function for estimation in linear models ⋮ Multifactor analysis of variance based on the aligned rank transform technique. ⋮ Asymptotic equivalence of statistical inference based on aligned ranks and on within-block ranks ⋮ Aligned rank transform tests in linear models ⋮ Rank procedures for testing subhypotheses in linear regression ⋮ Rank-order tests for the parallelism of several regression surfaces ⋮ Optimale Planung eines Kovarianzanalyse- und eines Intraclass Regressions-Experiments

Cites Work

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• On a Class of Rank Order Tests for the Parallelism of Several Regression Lines
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• Asymptotic Theory of Likelihood Ratio and Rank Order Tests in Some Multivariate Linear Models
• A Class of Rank Order Tests for a General Linear Hypothesis
• Nonparametric Estimate of Regression Coefficients