A Unified Approach to Rank Tests for Multivariate and Repeated Measures Designs

DOI10.2307/2290586zbMath0734.62050OpenAlexW4240302938MaRDI QIDQ3361729

Gerald L. Thompson

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2290586

zbMATH Keywords

rankingquadratic formalignmentdependent datascalePitman alternativesk-sample problemlocation alternativesrepeated measures designsrank transform teststests for factor effectsunified approach to asymptotic rank tests

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Factorial statistical designs (62K15)

Related Items (31)

Distribution-free tests for main effects and interactions in multivariate repeated measures designs ⋮ Aligned Rank Transform Techniques for Analysis of Variance and Multiple Comparisons ⋮ Wald-type rank tests: a GEE approach ⋮ Rank statistics under dependent observations and applications to factorial designs ⋮ A unified approach to rank tests for mixed models ⋮ Robust analysis of two-way models with repeated measures on both factors ⋮ A nonparametric version of Wilks' lambda -- asymptotic results and small sample approximations ⋮ Choosing appropriate covariance matrices in a nonparametric analysis of factorials in block designs ⋮ Approximation with a Kronecker product structure with one component as compound symmetry or autoregression via entropy loss function ⋮ Nonparametric methods for unbalanced multivariate data and many factor levels ⋮ Nonparametric multiple comparison procedures for unbalanced two-way layouts ⋮ Nonparametric methods in multivariate factorial designs for large number of factor levels ⋮ Testing for a change in repeated measures data ⋮ Nonparametric methods in factorial designs ⋮ Aligned rank statistics for repeated measurement models with orthonormal design, employing a Chernoff-Savage approach ⋮ Nonparametric methods in multivariate factorial designs ⋮ Rank-based analysis of repeated measures block designs ⋮ Rank test for heteroscedastic functional data ⋮ Nonparametric procedures for partially paired data in two groups ⋮ Score test for a separable covariance structure with the first component as compound symmetric correlation matrix ⋮ Rank methods for the analysis of clustered data in diagnostic trials ⋮ How to compare small multivariate samples using nonparametric tests ⋮ Recent developments in high-dimensional inference for multivariate data: parametric, semiparametric and nonparametric approaches ⋮ Multifactor analysis of variance based on the aligned rank transform technique. ⋮ Aligned rank transform tests in linear models ⋮ Exact permutation inference for two sample repeated measures data ⋮ Rank-score tests in factorial designs with repeated measures ⋮ BOOTSTRAP TESTS FOR THE ERROR DISTRIBUTION IN LINEAR AND NONPARAMETRIC REGRESSION MODELS ⋮ Rates of convergence for linear rank statistics with dependent data ⋮ A class of rank-score tests in factorial designs ⋮ Rank-based analysis of repeated measures block designs

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