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A Comparative Study of Goodness-of-Fit Tests for Multivariate Normality

Journal of Multivariate AnalysisPublished 1 August 1993
Jorge Luis Romeu, A. Öztürk
Citations113
SJR quartileQ1
SJR score1.01
SNIP1.41

Abstract

A Monte Carlo power study of 10 multivariate normality goodness-of-fit tests is presented. First, multivariate goodness-of-fit methods and non-normal alternatives are classified according to their characteristics. Then, a measurement tool is defined, validated, and used to assess the performance of the methods, which are then ranked by type of alternative they best detect. Finally, Monte Carlo-derived empirical critical values for the 8 procedures, valid when samples are too small to invoke asymptotic theory, are provided.

Keywords

MathematicsDecision Sciences