Key points are not available for this paper at this time.
Herman Chernoff, M. Haseeb Rizvi, Effect on Classification Error of Random Permutations of Features in Representing Multivariate Data by Faces, Journal of the American Statistical Association, Vol. 70, No. 351 (Sep., 1975), pp. 548-554
Chernoff et al. (Mon,) studied this question.