J. M. Humphries, F. L. Bookstein, B. Chernoff, G. R. Smith, R. L. Elder, S. G. Poss, Multivariate Discrimination by Shape in Relation to Size, Systematic Zoology, Vol. 30, No. 3 (Sep., 1981), pp. 291-308
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Humphries et al. (1981) studied this question.