Asymptotic equivalence of statistical inference based on aligned ranks and on within-block ranks

DOI10.1016/0378-3758(89)90052-9zbMath0682.62028OpenAlexW1976314421MaRDI QIDQ1824320

Taka-Aki Shiraishi

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90052-9

zbMATH Keywords

robustnesst-testnormal distributionaligned ranksMANOVAmultiresponse experimentsR-estimatorsRank testshypothesis of no treatment effectasymptotically maximin power testsFriedman- type testsminimax variance estimatorsparametric F-testrank- estimators of treatment effectstwo-way layouts without interactionwithin-block ranks

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (4)

Hypothesis testing and parameter estimation based on \(M\)-statistics in \(k\) samples with unequal variances ⋮ Statistical inference based on aligned ranks for two-way MANOVA with interaction ⋮ Asymptotic distribution of rank statistics under dependencies with multivariate application ⋮ Rates of convergence for linear rank statistics with dependent data

Cites Work

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• Asymptotic Efficiency of a Class of Aligned Rank Order Tests for Multiresponse Experiments in some Incomplete Block Designs
• Nonparametric Estimate of Regression Coefficients
• Robust Statistics

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