Provided is a description of three methods that allow one to test certain types of a priori hypotheses about differences among covariance matrices. In addition to descriptions of methods not generally found in discussions of multivariate analyses, briefly outlined are procedures for using two computer programs, COFAMM and LISREL, for testing such hypotheses. Also provided are examples of application of the methods to a meaningful data set.
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References
1.
Schurr, K. T. and Henriksen, L. W.Effects of item sequencing and grouping in low-inference type questionnaires. Paper under review, 1982.
2.
Alwin D. F. and Jackson, D. J. (1981). Applications of simultaneous factor analysis to issues of factorial invariance. In D. J. Jackson and E. F. Borgatta (Eds.), Factor analysis and measurement in sociological research: A multi-dimensional perspective. Beverly Hills, California: Sage Publications Inc.
3.
Bartlett, M. S. (1947). Multivariate analysis. Journal of the Royal Statistical Society B, 9, 176-197.
4.
Bock, R. D. (1975). Multivariate statistical methods in behavioral research. St. Louis: McGraw-Hill.
5.
Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria. Biometrika, 36, 317-346.
6.
Castellan, N. J., Jr. (1974). SMISSIS: Symbolic matrix interpretative system and statistical interpretive system (2nd ed.). Department of Psychology, Indiana University, August.
7.
Joreskog, K. G. and Sorbom, D. (1978). LISREL V: Analysis of linear structural relationships by the method of maximum likelihood. National Educational Resources, Inc.Chicago.
8.
Mardia, K. V. , Kent, J. T., and Bibby, J. M. (1979). Multivariate analysis: probability and mathematical statistics. New York: Academic Press.
9.
Morrison, D. F. (1967). Multivariate statistical methods. St. Louis: McGraw-Hill.
10.
Sorbom, D. and Joreskog, K. G. (1976). COFAMM: Confirmatory factor analysis with model modification-A FORTRAN IV program. National Educational Resources, Inc.Chicago.