Hostname: page-component-5f745c7db-nzk4m Total loading time: 0 Render date: 2025-01-06T07:00:40.157Z Has data issue: true hasContentIssue false
  • English
  • Français

Matfit: A Fortran Subroutine for Comparing Two Matrices in a Subspace

Published online by Cambridge University Press:  01 January 2025

J. O. Ramsay
J. O. Ramsay*
Affiliation:
McGill University
*
Requests for reprints or the program described in this paper should be sent to J. O. Ramsay, Department of Psychology, 1205 Dr. Penfield Ave., Montreal, Quebec, CANADA, H3A 1B1.
Get access Rights & Permissions [Opens in a new window]

Extract

Given two matrices, A and B, each with n rows, and with p and q columns, respectively, a very common goal is the comparison of these matrices in a subspace of dimension s, 1 ≤ s ≤ min p, q. That is, assuming linear mappings of A and B into the subspace, the comparison involves the choice of two transformation matrices L and M of dimensions p by s and q by s, respectively, and the subsequent comparisons of the images AL and BM in some fashion.

Keywords

orthogonal transformationrotationmatrix correlationProcrustesleast squares
Type
Computational Psychometrics
Information
Psychometrika , Volume 55 , Issue 3 , September 1990 , pp. 551 - 553
Copyright
Copyright © 1990 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This research was supported by grant APA 3020 from the Natural Sciences and Engineering Research Council of Canada. The author would like to thank Dr. David O'Hare for providing the data used to illustrate the use of the program MATFIT.

References

O'Hare, D. (1976). Individual differences in perceived similarity and preference for visual art: A multidimensional scaling analysis. Perception & Psychophysics, 20, 445–452.CrossRefGoogle Scholar
Ramsay, J. O. (1980). The joint analysis of direct ratings, pairwise preferences, and dissimilarities. Psychometrika, 45, 149–165.CrossRefGoogle Scholar
Ramsay, J. O. (1982). Some statistical approaches to multidimensional scaling data (with discussion). Journal of the Royal Statistical Society, 145, 285–312.CrossRefGoogle Scholar
Ramsay, J. O., & ten Berge, J., Styan, G. P. H. (1984). Matrix correlation. Psychometrika, 49, 403–423.CrossRefGoogle Scholar
SAS Institute (1982). SAS users guide: Statistics 1982 Edition,, Cary, NC: Author.Google Scholar