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Biometrika 1982 69(2):423-427; doi:10.1093/biomet/69.2.423
© 1982 by Biometrika Trust
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A class of invariant procedures for assessing multivariate normality

JAMES A. KOZIOL

Departments of Mathematics and Medicine, University of California San Diego, La Jolla, California, U.S.A.

Distribution theory pertaining to a class of invariant procedures for assessing multivariate normality is described. A Cramér-von Mises type statistic belonging to this class is investigated in greater detail: its asymptotie distribution is tabulated and compared with a Monte Carlo simulation of its finite sample distribution, and a set of quadrivariate data is examined with it.

Key Words: Cramér-von Mises • Generalized Mahalanobis distance • Kolmogorov-Srnirnov • Multivariate normality • Weak convergence


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