It is possible to test for the equality of means between independent groups with LISREL, either specifying a model with dummy variables or a model with several groups. The specification of these models is not only simple, but testing means with the second model is also less restrictive than the conventional MANOVA test procedures. This is demonstrated by a Monte Carlo study. A further empirical example shows the application of the LISREL test in a sociological field.
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References
1.
ANDERSON, T. W.
(1957) An Introduction to Multivariate Statistical Analysis. New York: John Wiley.
2.
BENTLER, P. M.
(1983) “Some contributions of efficient statistics in structural models: Specification and estimation of moment structures.”Psychometrica48: 493-517.
3.
BENTLER, P. M.
(1986) Theory and Implementation of EQS: A Structural Equation Program. Los Angeles: University of California.
4.
BENTLER, P. M.
and D. G. BONETT (1980) “Significance test and goodness of fit in the analysis of covariance structures.”Psych. Bull.88: 588-606.
5.
BENTLER, P. M.
and CH.-P. CHOU (1987) “Practical issues in structural modeling.”Soc. Methods & Research16: 78-117.
6.
BRAY, J. H.
and S. E. MAXWELL (1985) Multivariate Analysis of Variance. Beverly Hills, CA: Sage.
7.
BROWNE, M. W.
(1984) “Asymptotically distribution-free methods for the analysis of covariance structures.”British J. of Mathematical and Stat. Psychology37: 62-83.
8.
HANUSHEK, E. A.
and J. E. JACKSON (1977) Statistical Methods for Social Scientists. New York: Academic Press.
9.
IVERSEN, G. R.
and H. NORPOTH (1976) Analysis of Variance. Beverly Hills, CA: Sage.
10.
JOHNSTON, J.
(1984) Econometric Methods, 3rd ed.New York: McGraw-Hill.
11.
JÖRESKOG, K. G.
(1978) “Structural analysis of covariance and correlation matrices.”Psychometrica43: 443-477.
12.
JÖRESKOG, K. G.
(1981) “Analysis of covariance structures.”Scandinavian J. of Statistics8: 65-92.
13.
JÖRESKOG, K. G.
and D. SÖRBOM (1985) LISREL VI User's Guide. Uppsala: University of Uppsala.
14.
KENNY, D. A.
(1979) Correlation and Causality. New York: John Wiley.
15.
KLEINBAUM, D. G.
and L. L. KUPPER (1978) Applied Regression Analysis and Other Multivariate Methods. Belmont, CA: Wadsworth.
16.
LONG, J. S.
(1983) Covariance Structure Models: An Introduction to LISREL. Beverly Hills, CA: Sage.
17.
LORD, F. M.
and M. R. NOVICK (1968) Statistical Theories of Mental Test Scores. Reading, MA: Addison-Wesley.
18.
MATSUEDA, R. T.
and W. T. BIELBY (1986) “Statistical power in covariance structure models,” pp. 120-158 in N. Tuma (ed.) Sociological Methodology 1986. San Francisco: Jossey-Bass.
19.
MÖBUS, C.
(1986) “Analyse von Rohdaten mit LISREL—allgemeines lineares Model, stochastische Differenzen- und Differentialgleichungssysteme,” pp. 57-126 in C. Möbus and W. Schneider (eds.) Strukturmodelle für längsschnittdaten und Zeitreihen: LISREL, Pfad- und Varianzanzlyse. Bern: Huber.
20.
MORRISON, D. F.
(1967) Multivariate Statistical Methods. New York: McGraw-Hill.
21.
NORUSIS, M. J.
(1985) SPSS-X Advanced Statistics Guide. New York: McGraw-Hill.
22.
SÖRBOM, D.
(1982) “Structural equation models with structured means,” pp. 183-195 in K. G. Jöreskog and H. Wold (eds.) Systems Under Indirect Observation. Amsterdam: North-Holland.