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- W2021021566 abstract "The authors consider the multivariate one-sample location problem with clustered data from a nonparametric viewpoint. They propose the spatial median and its affine equivariant version as companion estimators to the affine invariant sign test of Larocque (2003). They extend the asymptotics of the proposed estimators to cluster dependent data and explore the limiting as well as finite-sample efficiencies for multivariate Student distributions. They demonstrate that the efficiency of the spatial median suffers less from intracluster correlation than the mean vector. They use data on the well-being of pupils in Finnish schools to illustrate their work. À propos de la médiane spatiale multivariée de données corrélées en grappe Les auteurs s'intéressent à l'estimation non paramétrique de la position d'une population multi-variée en présence de données corrélées en grappe. Ils suggèrent l'emploi de la médiane spatiale et de sa version affine équivariante en complément du test du signe affine invariant de Larocque (2003). Ils étendent l'étude des propriétés limites de ces estimateurs au cas de données corrélées en grappe et ils en déterminent l'efficacité, tant asymptotique qu'à taille finie, sous des lois de Student multivariées. Ils montrent que la corrélation intra-grappe affecte moins l'efficacité de la médiane spatiale que celle du vecteur des moyennes. Ils illustrent leur propos avec des données d'enquěte sur la qualité de vie dans les écoles finlandaises." @default.
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- W2021021566 date "2007-06-01" @default.
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- W2021021566 title "On the multivariate spatial median for clustered data" @default.
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- W2021021566 doi "https://doi.org/10.1002/cjs.5550350202" @default.
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