A two-level (hierarchical) model for path analysis with latent variables is described, together with some properties of a computer program written to implement the model. A simple illustrative example is given.
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References
1.
Browne, M. W.
and G. Mels. 1990. Ramona PC Users Guide. University of South Africa, Department of Statistics.
2.
de Leeuw, J.
1985. Path Models With Random Coefficients. Leiden, the Netherlands: Department of Data Theory FSW/RUL.
3.
Goldstein, H.1986. “Multilevel Mixed Linear Model Analysis Using Iterative Generalized Least Squares.”Biometrika73:43-56.
4.
Goldstein, H.
and R. P. McDonald. 1987. “A General Model for the Analysis of Multilevel Data.” Paper presented at the Psychometric Society Meeting, Montreal.
5.
Goldstein, H.
and R. P. McDonald. 1988. “A General Model for the Analysis of Multilevel Data.”Psychometrika53:455-467.
6.
Jöreskog, K. G.
and D. Sörbom. 1979. Advances in Factor Analysis and Structural Equation Models. Cambridge, MA: Abt.
7.
Krane, W.R.
and R.P. McDonald. 1978. “Scale Invariance and the Factor Analysis of Correlation Matrices.”British Journal of Mathematical and Statistical Psychology31:218-228.
8.
Kreft, Ita G. G.
, Kyung-Sung Kim, and Jan de Leeuw. 1990. Comparing Four Different Statistical packages for Hierarchical Linear Regression, GENMOD, HLM, ML2 and VARCL. (CSE Technical Report No. 311). Los Angeles: University of California, Center for the Study of Evaluation.
9.
McArdle, J. J.
and R. P. McDonald. 1984. “Some Algebraic Properties of the Reticular Action Model for Moment Structures.”British Journal of Mathematical and Statistical Psychology37:234-251.
10.
McDonald, R.P.
1985. Factor Analysis and Related Methods. Hillsdale, NY: Lawrence Erlbaum.
11.
McDonald, R.P.
Forthcoming. “A General Model for Two-Level Data With Responses Missing at Random.”Psychometrika.
12.
McDonald, R. P.
and H. Goldstein. 1988. “Balanced and Unbalanced Designs in Multilevel Structural Models.” Paper presented at the Psychometric Society Meeting, Los Angeles.
13.
McDonald, R. P.
and H. Goldstein. 1989. “Balanced Versus Unbalanced Designs for Linear Structural Relations in Two-Level Data.”British Journal of Mathematical and Statistical Psychology42:215-232.
14.
McDonald, R. P.
, Prudence M. Parker, and T. Ishizuka. Forthcoming. “A Scale-Invariant Treatment for Recursive Path Models.”Psychometrika.
15.
Mok, M.
and R. P. McDonald. 1993. “Alternative Models for Bilevel Factor Analysis.” Paper presented at the Annual Meeting of the American Educational Research Association, Atlanta, Georgia, April.
16.
Muthén, B. O.
1987. LISCOMP: Analysis of Linear Structural Equations With a Comprehensive Measurement Model. Mooresville, IN: Scientific Software, Inc.
17.
Muthén, B. O.1989. “Latent Variable Modelling in Heterogeneous Populations.”Psychometrika54:557-585.