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Simultaneous inference based on rank statistics in linear models. (English) Zbl 1457.62228

Summary: A class of simultaneous tests based on the aligned rank transform (ART) statistics is proposed for linear functions of parameters in linear models. The asymptotic distributions are derived. The stability of the finite sample behaviour of the sampling distribution of the ART technique is studied by comparing the simulated upper quantiles of its sampling distribution with those of the multivariate t-distribution. Simulation also shows that the tests based on ART have excellent small sample properties and because of their robustness perform better than the methods based on the least-squares estimates.

MSC:

62J15 Paired and multiple comparisons; multiple testing
62G10 Nonparametric hypothesis testing
62J05 Linear regression; mixed models

Software:

SAS
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Full Text: DOI

References:

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