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Scaling a Simplex Symmetrically

Author(s):
Schonemann, Peter H.
Publication Year:
1968
Report Number:
RB-68-31
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
38
Subject/Key Words:
Data Analysis, Mathematical Models, Scaling, Statistical Analysis

Abstract

A method for scaling 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. The scaling method is extended to an iterative algorithm for scaling a quasi-simplex. Some empirical results are included.

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