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A method for fitting a perfect simplex Guttman, 1954 is suggested which, in contrast to Kaiser's 1962, is independent of the order of the manifest variables. It is based on a procedure for scaling a set of points from their pairwise distances Torgerson, 1958; Young & Householder, 1938 which is reviewed in compact notation in the Appendix. The method is extended to an iterative algorithm for fitting a quasi-simplex. Some empirical results are included.
Peter H. Schönemann (Sun,) studied this question.