Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-08T09:45:26.039Z Has data issue: false hasContentIssue false

Mean Performance and the Factor Analysis of Learning Data

Published online by Cambridge University Press:  01 January 2025

John Ross*
Affiliation:
University of Western Australia

Abstract

The difference in factor structure resulting from the factorization of correlations, covariances, and cross products is discussed. Factoring cross products has the advantage of retaining information on both means and variances; this method of factoring learning data is recommended. The conditions under which factoring covariances and cross products lead to the same essential structure are investigated.

Type
Original Paper
Copyright
Copyright © 1964 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.)

References

Cliff, N. Analytic rotation to a functional relationship. Psychometrika, 1962, 27, 283295.CrossRefGoogle Scholar
Eckart, C. T. and Young, G. The approximation of one matrix by another of lower rank. Psychometrika, 1936, 1, 211218.CrossRefGoogle Scholar
Gulliksen, H. Mathematical solutions for psychological problems. Amer. Scientist, 1959, 47, 178201.Google Scholar
Ross, J. The relation between test and person factors. Psychol. Rev., 1963, 70, 432443.CrossRefGoogle ScholarPubMed
Tucker, L. R. Determination of parameters of a functional relationship by factor analysis. Psychometrika, 1958, 23, 1923.CrossRefGoogle Scholar
Tucker, L. R. Determination of generalized learning curves by factor analysis. A Technical Report available from the Educational Testing Service, Princeton, N. J., 1960.Google Scholar
Tucker, L. R. Factor analysis of relevance judgments: An approach to content validity. Proceedings of the 1961 Invitational Conference on Testing Problems. Princeton, N. J.: Educational Testing Service, 1961, 2938..Google Scholar
Weitzman, R. A. A factor analytic method for investigating differences between groups of individual learning curves. Psychometrika, 1963, 28, 6980.CrossRefGoogle Scholar