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

Published online by Cambridge University Press:  01 January 2025

Peter H. Schönemann  and
Robert M. Carroll
Peter H. Schönemann
Affiliation:
The Ohio State University
Robert M. Carroll
Affiliation:
The Ohio State University
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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.

Information

Type
Original Paper
Information
Psychometrika , Volume 35 , Issue 2 , June 1970 , pp. 245 - 255
Copyright
Copyright © 1970 The Psychometric Society

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Footnotes

*

Now at Purdue University. Part of this work was done while the senior author held a visiting research fellowship at the Educational Testing Service, Princeton, New Jersey.

†

Now at the University of Maryland.

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