Hostname: page-component-745bb68f8f-g4j75 Total loading time: 0 Render date: 2025-01-07T18:27:42.177Z Has data issue: false hasContentIssue false

An Empirical Evaluation of Multidimensional Successive Intervals

Published online by Cambridge University Press:  01 January 2025

Samuel J. Messick*
Affiliation:
University of Illinois

Abstract

The multidimensional method of successive intervals and the method of complete triads are applied to similarity judgments of Munsell colors varying in brightness, saturation, and hue. Both methods yield configurations that correlate highly with the Munsell color structure. This validation of these scaling methods in an area of known dimensionality indicates their applicability for exploration in areas of unknown dimensionality.

Type
Original Paper
Copyright
Copyright © 1956 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 study was supported in part by the Office of Naval Research contract N6onr-270-20 with Princeton University and also in part by funds from the National Science Foundation. The research was carried out when the author was an Educational Testing Service Psychometric Fellow at Princeton University.

Now at The Menninger Foundation.

References

Abelson, R. P. A technique and a model for multidimensional attitude scaling. Amer. Psychologist, 1954, 9, 319319Google Scholar
Attneave, F. Dimensions of similarity. Amer. J. Psychol., 1950, 63, 516556CrossRefGoogle ScholarPubMed
Diederich, G. W., Messick, S. J., and Tucker, L. R. A general least squares solution for successive intervals, Princeton: Educational Testing Service Research Bulletin, 1955CrossRefGoogle Scholar
Edwards, A. L. The scaling of stimuli by the method of successive intervals. J. Appl. Psychol., 1952, 36, 118122CrossRefGoogle Scholar
Guilford, J. P. The method of paired comparisons as a psychometric method. Psychol. Rev., 1928, 35, 494506CrossRefGoogle Scholar
Gulliksen, H. A least squares solution for successive intervals assuming unequal standard deviations. Psychometrika, 1954, 19, 117139CrossRefGoogle Scholar
Klingberg, F. L. Studies in measurement of the relations between sovereign states. Psychometrika, 1941, 6, 335352CrossRefGoogle Scholar
Messick, S. J. The perception of attitude relationships: a multidimensional scaling approach to the structuring of social attitudes. Ph.D. thesis, Princeton Univer., 1954. Also Educational Testing Service Research Bulletin, 1954.CrossRefGoogle Scholar
Messick, S. J. Some recent theoretical developments in multidimensional scaling. Educ. Psychol. Measmt., 1956, 16, 82100CrossRefGoogle Scholar
Messick, S. J. and Abelson, R. P. The additive constant problem in multidimensional scaling. Psychometrika, 1956, 21, 116CrossRefGoogle Scholar
Munsell Book of Color, Abridged Edition. Baltimore: Munsell Color Co., Inc., 1945.Google Scholar
Newhall, S. M. The ratio method in the review of the Munsell colors. Amer. J. Psychol., 1939, 52, 394394CrossRefGoogle Scholar
Newhall, S. M., Nickerson, D., and Judd, D. B. Final report of the O.S.A. subcommittee on the spacing of the Munsell colors. J. opt. Soc. Amer., 1943, 33, 385418CrossRefGoogle Scholar
Richardson, M. W. Multidimensional psychophysics. Psychol. Bull., 1938, 35, 659660Google Scholar
Saffir, M. A comparative study of scales constructed by three psychophysical methods. Psychometrika, 1937, 2, 179198CrossRefGoogle Scholar
Thurstone, L. L. Rank-order as a psychophysical method. J. exp. Psychol., 1931, 14, 187201CrossRefGoogle Scholar
Torgerson, W. S. A theoretical and empirical investigation of multidimensional scaling. Ph.D. thesis, Princeton Univer., 1951.CrossRefGoogle Scholar
Torgerson, W. S. Multidimensional scaling: I. Theory and method. Psychometrika, 1952, 17, 401419CrossRefGoogle Scholar
Young, G. and Householder, A. S. Discussion of a set of points in terms of their mutual distances. Psychometrika, 1938, 3, 1922CrossRefGoogle Scholar
Young, G. and Householder, A. S. A note on multidimensional psychophysical analysis. Psychometrika, 1941, 6, 331333CrossRefGoogle Scholar