On distribution-free tests for the multivariate two-sample location-scale model

DOI10.1006/jmva.2000.1981zbMath1010.62035OpenAlexW1968786619MaRDI QIDQ1599066

Valentin Rousson

Publication date: 20 May 2003

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.2000.1981

zbMATH Keywords

rank testssimulationsdata depthprincipal components analysismultivariate orderings

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Nonparametric hypothesis testing (62G10) Hypothesis testing in multivariate analysis (62H15)

Related Items (17)

On the limiting distributions of multivariate depth-based rank sum statistics and related tests ⋮ Nonparametric tests for the general multivariate multi-sample problem ⋮ A test based on data depth for testing location-scale of the two multivariate populations ⋮ Using space filling curves to compare two multivariate distributions with distribution-free tests ⋮ Graph-theoretic multisample tests of equality in distribution for high dimensional data ⋮ A nonparametric two-sample test applicable to high dimensional data ⋮ High dimensional two-sample test based on the inter-point distance ⋮ Non‐parametric depth‐based tests for the multivariate location problem ⋮ Multivariate Kruskal_Wallis tests based on principal component score and latent source of independent component analysis ⋮ Power comparison of data depth-based nonparametric tests for testing equality of locations ⋮ Nonparametric tests for multivariate multi-sample locations based on data depth ⋮ Multivariate Rank-Based Distribution-Free Nonparametric Testing Using Measure Transportation ⋮ Distribution-free high-dimensional two-sample tests based on discriminating hyperplanes ⋮ Asymptotic distribution and detection thresholds for two-sample tests based on geometric graphs ⋮ Affine invariant depth-based tests for the multivariate one-sample location problem ⋮ Data depth-based nonparametric scale tests ⋮ Data depth-based nonparametric tests for multivariate scales

Cites Work

• On a notion of data depth based on random simplices
• Descriptive statistics for multivariate distributions
• Control Charts for Multivariate Processes
• A Quality Index Based on Data Depth and Multivariate Rank Tests
• Non-Parametric Tests for the Bivariate Two-Sample Location Problem
• Multivariate Nonparametric Several-Sample Tests
• Statistical Tests Based on Permutations of the Observations
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