A linear structural model for comparing quasi-Markov models across populations is demonstrated. A confirmatory factor analysis formulation of the simplex model is also developed for between group comparisons. A variety of possible applications of this approach are suggested.
Get full access to this article
View all access options for this article.
References
1.
Jöreskog, K. G. and Sörbom, D.Statistical models and methods for analysis of longitudinal data (Research Report 75-1. Uppsala, Sweden: Uppsala University, Statistics Department, 1975.
2.
Jöreskog, K. G. and van Thillo, Mr.LISREL—a general computer program for estimating a linear structural equation system involving multiple indicators of unmeasured variables (ETS RB72-56. Princeton, N. J.: Educational Testing Service, 1972.
3.
Jöreskog, K. G. and Sörbom, D.LISREL IV—analysis of linear structural relationships by the method of maximum likelihood. Chicago: National Educational Resources, Inc., 1978.
4.
Sorbom, D. and Jöreskog, K. G.COFAMM—confirmatory factor analysis with model modification. Chicago: National Educational Resources, Inc., 1976.
5.
van Thillo, M. and Jöreskog, K. G.SIFASP—a general computer program for simultaneous factor analysis in several populations (ETS RB 70-62. Princeton, N. J.: Educational Testing Service, 1970.
6.
Rock, D. A. and Werts, C. E.An analysis of time related increments and/or decrements for GRE repeaters across ability and sex groups. Unpublished manuscript.
7.
Hilton, T. L., Beaton, A. E. and Bower, C. P.Stability and instability in academic growth—a compilation of longitudinal data (Final report, USOE, Research No. 0-0140. Princeton, N. J.: Educational Testing Service, August 1971. (ERIC Document Reproduction Service No. ED 072 075).
8.
Heise, D. R.Separating reliability and stability in test-retest correlation. American Sociological Review, 1969, 34, 93-101.
9.
Humphreys, L. G.Investigations of the simplex . Psychometrika, 1960, 25, 313-323.
10.
Humphreys, L. G.The fleeting nature of college academic success. Journal of Educational Psychology, 1968, 59, 375-380.
11.
Hunphreys, L. G. and Parsons, C. K.A simplex process model to describe differences between cross-lagged correlations. Psychological Bulletin, in press.
12.
Humphreys, L. G. and Taber, T.Postdiction study of the graduate record examination and eight semesters of college grades. Journal of Educational Measurement, 1973, 10, 179-184.
13.
Jöreskog, K. G.Estimation and testing of simplex models. The British Journal of Mathematical and Statistical Psychology, 1970, 23, 121-145.
14.
Jöreskog, K. G.A general method for analysis of covariance structures. Biometrika, 1970 , 57, 239-251. (a)
15.
Linn, R. L. and Werts, C. E.Considerations for studies of test bias. Journal of Educational Measurement, 1971, 8, 1-4.
16.
Lunneborg, C. E. and Lunneborg, P. W.Relations between aptitude changes and academic success during college. Journal of Educational Psychology, 1970, 61, 169-173.
17.
McGaw, B. and Joreskog, K. G.Factorial invariance of ability measures in groups differing in intelligence and socioeconomic status. British Journal of Mathematical and Statistical Psychology, 1971, 24, 154-168.
18.
Rock, D. A., Werts, C. E. and Flaugher, R. I.The use of covariance structures for comparing the psychometric properties of multiple variables across populations. Multivariate Behavioral Research, in press.
19.
Sörbom, D.A general method for studying differences in factor means and factor structure between groups. British Journal of Mathematical and Statistical Psychology, 1974, 27, 229-239.
20.
Werts, C. E., Breland, H. M., Grandy, J. and Rock, D. A.Using longitudinal data to estimate reliability in the presence of correlated measurement errors. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1980, 40, 19-29.
21.
Werts, C. E., Jöreskog, K. G., and Linn, R. L.Comment on "the estimation of measurement error in panel data." American Sociological Review , 1971, 36, 110-113.
22.
Werts, C. E., Linn, R. L. , and Jöreskog, K. G.A simplex model for analyzing academic growth. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 745-756.
23.
Werts, C. E., Rock, D. A. , and Linn, R. L.Validating psychometric assumptions within and between several populations . EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1977, 37, 863-872.
24.
Werts, C. E., Linn, R. L. , and Jöreskog, K. G.The reliability of college grades from longitudinal data. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1978 , 38, 89-95.
25.
Wiley, D. E. and Wiley, J. A.The estimation of measurement error in panel data. American Sociological Review, 1970, 35, 112-117.