THE EFFICIENT COMPUTATION OF UNBIASED MAHALANOBIS DISTANCES AND THEIR INTERPRETATION IN ARCHAEOMETRY

Autor:	M. N. Leese, P. L. Main
Rok vydání:	1994
Předmět:	Archeology History Mahalanobis distance Computation Statistics Outlier Inversion (meteorology) Small sample Linear discriminant analysis Algorithm Mathematics
Zdroj:	Archaeometry. 36:307-316
ISSN:	1475-4754 0003-813X
DOI:	10.1111/j.1475-4754.1994.tb00972.x
Popis:	This paper argues for cross-validation to reduce bias in estimating Mahalanobis distances of individuals to groups, a particular problem with small sample sizes. Formulae for the efficient computation of cross-validated distances, which avoid excessive matrix inversion, are given. The use of Mahalanobis distances as measures of consistency, or as indications of outlying values, is described. The little-known technique of gamma plotting is outlined and discussed as an aid to interpreting distances in these terms. Both cross-validation and gamma plotting are illustrated in an example on marble composition.
Databáze:	OpenAIRE
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