Akaike H. (1974). A new look at Statistical Model Identification.
IEEE Transactions on Automatic Control, 19, 716-723.
Akaike H. (1987).Factor Analysis and AIC. Psychometrika,
52, 317-332.
Anderson T.W. (1969). Statistical Inference for Covariance
Matrices with Linear Structure. In P.R. Krisnaiah (Ed.),
Multivariate Analysis, Volume II, pp.55-66. New York: Academic
Press.
Anderson T.W. (1970). Estimation of Covariance Matrices
which are Linear Combinations or whose Inverses are Linear
Combination of given Matrices. In R.C. Bose et al (eds),
Essays in Probability and Statistics, pp.1-24. Chapel Hill:
University of North Carolina Press.
Anderson T.W. (1973). Asymptotically Efficient Estimation
of Covariance Matrices with Linear Structure. Annals of
Statistics, 1, 135-141.
Anderson, J.C., & Gerbing, D.W. (1984). The effect
of sampling error on convergence, improper solutions, and
goodness-of-fit indices for maximum likelihood confirmatory
factor analysis.Psychometrika,
49, 155-73.
Anderson, J.C., & Gerbing, D.W. (1988). Structural
equation modeling in practice: A review and recommended
two-step approach. Psychological
Bulletin, 103 (3), 411-423.
Anderson, J.C., & Gerbing, D.W. (1992). Assumptions
and comparative strengths of the two-step approach: Comment
on Fornell and Yi. Sociological
Methods & Research, 20 (1), 321-333.
Bentler, P.M. & Bonett, D.G. (1980). Significance
Tests and Goodness of Fit in the Analysis of Covariance
Structures.
Psychological Bulletin, 88, 588-606.
Bentler, P.M. & Weeks, D.G. (1980). Linear Structural
Equations with Latent Variables. Psychometrika, 45,
289-308.
Bentler, P.M. (1988). Comparative Fit Indexes in Structural
Models. Psychological Bulletin, 107, 238-246.
Blozis Shelley A. (2004).
Structured Latent Curve Models for the Study of Change in Multivariate
Repeated Measures.
Psychological Methods, 9(3), 334-353.
Bock, R.D. (1960). Components of Variance Analysis as
a Structural and Discriminal Analysis for Psychological
Tests. British Journal of Mathematical and Statistical Psychology,
13, 151-163.
Browne, M.W. (1974). Generalised Least Squares Estimators
in the analysis of covariance structures. South African
Statistical Journal, 8, 1-24. (Reprinted in Aigner,
D.J. & Goldberger, A.S. (eds), Latent variables in Socioeconomic
Models, pp. 205-226. Amsterdam: North Holland.)
Browne, M.W. (1982). Covariance Structures. In D.M. Hawkins
(Ed.), Topics in Applied Multivariate Analysis,
pp. 72-141. Cambridge: Cambridge University Press.
Browne, M.W. & Cudeck, R. (1993). Alternative Ways
of Assessing Model Fit. In K.A. Bollen & J.S. Long (Eds.),
Testing Structural Equation Models, pp. 136-162. Beverley
Hills, CA: Sage.
Browne, M.W. & Du Toit, S.H.C. (1992). Automated Fitting
of Nonstandard Models. Multivariate Behavioral Research,
27, 269-300.
Chou, C.-P., & Bentler, P. M. (1990). Model modification
in covariance structure modeling: A comparison among likelihood
ratio, Lagrange multiplier, and Wald tests. Multivariate
Behavioral Research, 25, 115-136.
Cudeck, R. (1989). Analysis of correlation matrices using
covariance structure models. Psychological
Bulletin, 105, 317-327.
Davis, W.R. (1993). The FC1 rule of identification for
confirmatory factor analysis: A general sufficient condition.
Sociological Methods &
Research, 21(4), 403-437.
Fornell, C., & Yi, Y. (1992a). Assumptions of the
two-step approach to latent variable modeling. Sociological
Methods & Research, 20 (1), 291-320.
Fornell, C., & Yi, Y. (1992b). Assumptions of the
two-step approach: Reply to Anderson and Gerbing. Sociological
Methods & Research, 20 (1), 334-339.
Gerbing, D.W., & Anderson, J.C. (1987). Improper solutions
in the analysis of covariance structures: Their interpretability
and a comparison of alternate respecifications. Psychometrika,
52, 99-111.
Jöreskog, K.G. (1967). Some contributions to maximum
likelihood factor analysis. Psychometrika,
32(4), 443-482.
Jöreskog, K.G. (1969). A General Approach to Confimatory
Maximum Likelihood Factor Analysis. Psychometrika, 34,
183-202.
Jöreskog, K.G. (1970). A General Method for Analysis
of Covariance Structures. Biometrika, 57, 239-251.
Jöreskog, K.G. (1977). Structural Equation Models
in the Social Sciences: Specification estimation and testing.
In P.R. Krishnaiah (Ed.), Applications of Statistics, pp.
265-287. Amsterdam: North Holland.
Jöreskog, K.G. (1978). Structural Analysis of Covariance
and Correlation matrices. Psychometrika, 43, 443-473.
Kaplan, D. (1989). Model modification in covariance structure
analysis: Application of the expected parameter change statistic.
Multivariate
Behavioral Research, 24, 285-305.
Kaplan, D., & Wenger, R.N. (1993). Asymptotic independence
and separability in covariance structure models: Implications
for specification error, power, and model modification.
Multivariate
Behavioral Research, 28, 483-498.
Lee, S.Y. (1985). Analysis of covariance and correlation
structures. Computational Statistical Data Analysis, 2,
279-295.
Lee, S.Y. & Bentler, P.M. (1980). Some Asymptotic
Properties of Constrained Generalized Least Squares Estimation
in Covariance Structure Models. South African Statistical
Journal, 14, 121-136.
Lee, S.Y. & Jennrich, R.I. (1979). A study of algorithms
for covariance structure analysis with specific comparisons
using factor analysis. Psychometrika, 44, 99-113.
Lee, S., & Hershberger, S. (1990). A simple rule for
generating equivalent models in structural equation modeling.
Multivariate Behavioral
Research, 25, 313-334.
Lee, S.-Y., Poon, W.-Y., & Bentler, P.M. (1992). Structural
equation models with continuous and polytomous variables.
Psychometrika,
57, 89-105.
MacCallum, R.C., Wegener, D.T., Uchino, B.N., & Fabrigar,
L.R. (1993). The problem of equivalent models in applications
of covariance structure analysis. Psychological
Bulletin, 114, 185-199.
McDonald, R.P. (1978). A Simple Comprehensive Model for
the Analysis of Covariance Structures. British Journal of
Mathematical and Statistical Psychology, 31, 59-72.
Mardia, K.V. (1970). Measures of multivariate skewness
and kurtosis with applications. Biometrika, 57, pp.
519-530.
Reilly, T. (1995). A necessary and sufficient condition
for identification of confirmatory factor analysis models
of complexity one. Sociological
Methods & Research, 23(4), 421-441.
Rigdon, E.E. (1995). A necessary and sufficient identification
rule for structural models estimated in practice. Multivariate
Behavioral Research, 30(3), 359-383.
Satorra, A. (1989). Alternative test criteria in covariance
structure analysis: A unified approach. Psychometrika,
54, 131-151.
Satorra, A., & Saris, W. E. (1985). Power of the likelihood
ratio test in covariance structure analysis. Psychometrika,
50, 83-90.
Satorra, A. & Bentler, P.M. (1988). Scaling Corrections
for Chi-square Statistics in Covariance Structure Analysis.
Proceedings of the American Statistical Association, 308-313.
Satorra, A. & Bentler, P.M. (1994). Corrections for
Test Statistics and Standard Errors in Covariance Structure
Analysis. In A. Von Eye & C.C. Clogg (Eds.). Latent
Variable Analysis: Applications for Developmental Research,
pp. 399-419. Thousand Oaks, CA: Sage.
Shapiro, A. (1983). Asymptotic Distribution Theory in
the Analysis of Covariance Structures (A Unified Approach).
South African Statistical Journal, 17, 33-81.
Shapiro, A. (1984). A Note on the Consistency of Estimators
in the Analysis of Moment Structures. British Journal of
Mathematical and Statistical Psychology, 37, 84-88.
Shapiro, A. (1985). Asymptotic Equivalence of Minimum
Discrepancy Function Estimators to G.L.S. Estimators. South
African Statistical Journal, 19, 73-81.
Shapiro, A. (1986). Asymptotic Theory of Overparameterized
Structural Models. Journal of the American Statistical Association,
81, 142-149.
Shapiro, A. (1987). Robustness properties of an MDF analysis
of moment structures. South African Statistical Journal,
21, 33-81.
Shapiro, A. & Browne, M.W. (1987). Analysis of covariance
structures under elliptical distributions. Journal of the
American Statistical Association, 82, 1092-1097.
Shapiro, A. & Browne, M.W. (1990). On the Treatment
of Correlation Structures as Covariance Structures. Linear
Algebra and its Applications, 127, 547-567.
Steiger, J.H. & Lind, J.C. (1980). Statistically-based
tests for the number of common factors. Paper presented
at the annual meeting of the Psychometric Society, Iowa
City, IA.
Steiger, J.H., Shapiro, A. & Browne, M.W. (1985).
On the asymptotic distribution of sequential chi-square
statistics.
Psychometrika, 50, 253-264.
Stelzl, I. (1986). Changing the causal hypothesis without
changing the fit: Some rules for generating equivalent path
models. Multivariate
Behavioral Research, 21, 309-331.
Yuan, K.H. & Bentler, P.M. (1997). Mean and covariance
structure analysis: Theoretical and practical improvements.Journal
of the American Statistical Association, 92, 767-774.
U.S. Dept. of Health and Human Services,
Substance Abuse and Mental Health Services Administration,
Office of Applied Studies. ALCOHOL AND DRUG SERVICES STUDY (ADSS),
1996-1999: [UNITED STATES] [Computer file].
Conducted by Brandeis University. ICPSR03088-v3.
Ann Arbor, MI: Inter-university Consortium for Political and
Social Research [producer and distributor], 2006-06-09.
