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Fitting One Matrix to Another Under Choice of a Central Dilation and a Rigid Motion

Author(s):
Carroll, Robert M.; Schonemann, Peter H.
Publication Year:
1969
Report Number:
RB-69-78
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
21
Subject/Key Words:
Factor Analysis, Least Squares Statistics, Matrices, Scaling, Statistical Analysis

Abstract

A least squares method is presented for fitting a given matrix A to another given matrix B under choice of an unknown rotation, an unknown translation, and an unknown central dilation. The procedure may be useful to investigators who wish to compare results obtained with nonmetric scaling techniques across samples or who wish to compare such results with those obtained by conventional factor analytic techniques on the same sample.

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