Demonstration of Cross-Cultural Invariance of the California Psychological Inventory in America and Israel by the Guttman-Lingoes Smallest Space Analysis
Restricted accessResearch articleFirst published online September, 1970
Demonstration of Cross-Cultural Invariance of the California Psychological Inventory in America and Israel by the Guttman-Lingoes Smallest Space Analysis
The smallest space analysis of proximities (SSA-1) developed by Guttman and Lingoes was applied to the intercorrelation matrix of the CPI scales for males given in the manual, and to a matrix for male medical school applicants in Israel. Each of the matrices could be represented in a two dimensional space. A correlation of .92 between the SSA interpoint distances of the American and the Israeli data was obtained proving cross-cultural invariance of the pattern of the scale intercorrelations. Similarity of order relations among variables is also illustrated by gradients showing invariant simplex patterns of the corresponding submatrices.
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References
1.
Cattell, R. B.Parallel proportional profiles and other principles for determining the choice of factors by rotation . Psychometrika, 1944, 9, 267-283.
2.
Coombs, C. H.A theory of data. New York: Wiley, 1964.
3.
Fong, S. , & Peskin, H.Sex-role strain and personality adjustment of China-born students in America. Journal of Abnormal Psychology, 1969, 74, 563-567.
Gough, H. G.A cross-cultural study of achievement motivation . Journal of Applied Psychology, 1964, 48, 190-196.
6.
Gough, H. G.Appraisal of social maturity by means of the CPI . Journal of Abnormal Psychology, 1966, 71, 189-195.
7.
Gough, H. G.An interpreter's syllabus for the CPI. In P. McReynolds (Ed.), Advances in psychological assessment, Vol. 1. Palo Alto, California: Science and Behavior Books, 1968, pp. 55-79.
Guttman, L.Order analysis of correlation matrices. In R. B. Cattell (Ed.), Handbook of multivariate experimental psychology. New York: Rand McNally, 1966, pp. 438-458.
10.
Guttman, L.A general nonmetric technique for finding the smallest coordinate space for a configuration of points . Psychometrika, 1968, 33, 469-506.
11.
Guttman, R.Cross-population constancy in trait profiles and the study of inheritance of human behavior variables. In J. N. Spuhler (Ed.), Genetic diversity and human behavior, Viking Fund Publications in Anthropology, No. 45, 1967.
12.
Guttman, R. & Guttman, L.Cross-cultural stability of an intercorrelation pattern of abilities: A possible test for a biological basis. Human Biology, 1963, Vol. 35(1), 53-60.
13.
Guttman, R. & Guttman, L.A new approach to the analysis of growth patterns: The simplex structure of intercorrelations of measurements. Growth, 1965, 29, 219-232.
14.
Kruskal, J. B.Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis . Psychometrika, 1964, 29, 1-27.
15.
Lingoes, J. C.An IBM 7090 program for Guttman-Lingoes smallest space analysis-i . Behavioral Science, 196510, 183-184.
16.
Meredith, W.Notes on factorial invariance . Psychometrika, 1964, 29, 177-186.
17.
Mizushima, K. , & DeVos, G.An application of the CPI in a study of Japanese delinquency. Journal of Social Psychology, 1967, 71, 45-51.
18.
Schlesinger, I. M. , & Guttman, L.Smallest space analysis of intelligence and achievement tests. Psychological Bulletin, 1969, 71, 95-100.
19.
Shepard, R. W.The analysis of proximities: Multidimensional scaling with an unknown distance function. I. II . Psychometrika, 1962, 27, 125-140, 219-246.
