Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-01-08T11:55:41.708Z Has data issue: false hasContentIssue false
  • English
  • Français

F Tests for the Absolute Invariance of Dominance and Composition Scales

Published online by Cambridge University Press:  01 January 2025

Gordon G. Bechtel
Gordon G. Bechtel*
Affiliation:
Oregon Research Institute
Get access Rights & Permissions [Opens in a new window]

Abstract

Significance tests are developed for evaluating the absolute invariance of the dominance and composition scales presented in a previous paper [Bechtel, 1967]. These tests derive from the multivariate normality of the estimated scale values—this multinormality stemming from that of the observations upon which these estimated scale parameters are based. The scales compared by means of the present techniques will typically be constructed under distinct experimental conditions, which may take the concrete form of treatments, occasions, individuals, or groups. Thus the present tests possess a wide range of applicability including various experimental designs in which scale configuration is the dependent variable. Illustrative data are used in statistically comparing the scale structures of two different individuals.

Type
Original Paper
Information
Psychometrika , Volume 32 , Issue 2 , June 1967 , pp. 157 - 182
Copyright
Copyright © 1967 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 in part by National Institutes of Health Grant MH-04439-06. The author would like to express his appreciation to Fred C. Andrews of the University of Oregon and J. E. Keith Smith of the University of Michigan for their helpful comments concerning aspects of this work. Computing assistance was obtained from the Health Sciences Computing Facility, UCLA, sponsored by NIH Grant FR-3.

References

Bechtel, G. G. The analysis of variance and pairwise scaling. Psychometrika, 1967, 32, 47–65.CrossRefGoogle ScholarPubMed
Binder, A. Statistical theory. Annual Review of Psychology, 1964, 15, 277–310.CrossRefGoogle Scholar
Campbell, D. T. and Fiske, D. W. Convergent and discriminant validation by the multitrait-multimethod matrix. Psychological Bulletin, 1959, 56, 81–105.CrossRefGoogle ScholarPubMed
Coombs, C. H. A theory of data, New York: Wiley, 1964.Google Scholar
Cronbach, L. J. and Gleser, Goldine Assessing similarity between profiles. Psychological Bulletin, 1953, 50, 456–473.CrossRefGoogle ScholarPubMed
Ekman, G. and Sjöberg, L. Scaling. Annual Review of Psychology, 1965, 16, 451–475.CrossRefGoogle ScholarPubMed
H., Gulliksen and S., Messick. Psychological scaling: theory and applications, New York: Wiley, 1960.Google Scholar
Jones, L. V. Some invariant findings under the method of successive intervals. In Gulliksen, H. and S., Messick (Eds.), Psychological scaling: theory and applications. New York: Wiley, 1960, 7–20.Google Scholar
Lubin, A. Statistics. Annual Review of Psychology, 1962, 13, 345–370.CrossRefGoogle ScholarPubMed
Scheffé, H. The analysis of variance, New York: Wiley, 1959.Google Scholar