This article extends Bollen's two-stage least squares (2SLS) estimator to estimate confirmatory higher-order factor analysis models. This includes estimation of the higher-order and lower-order factor loadings and their intercepts. This 2SLS estimator does not require that the observed variables come from normal distributions, and it is less sensitive to specification errors than are the full information estimators. As such, this makes the 2SLS estimator a useful complementary estimator to the other full information estimators.
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References
1.
Basmann, Robert L.1960. “On Finite Sample Distributions of Generalized Classical Linear Identifiability Test Statistics.”Journal of the American Statistical Association55:650-659.
2.
Bentler, Peter M.1982. “Confirmatory Factor Analysis via Noniterative Estimation: A Fast, Inexpensive Method.”Journal of Marketing Research19:417-424.
3.
Biesanz, Jeremy C.
, Stephen G. West, and William G. Graziano. 1998. “Moderators of Self-Other Agreement: Reconsidering Temporal Stability in Personality.”Journal of Personality and Social Psychology75:467-477.
4.
Bollen, Kenneth A.1989. Structural Equations With Latent Variables. New York: Wiley.
5.
Bollen, Kenneth A.1995. “Structural Equation Models That Are Nonlinear in Latent Variables: A Least-Squares Estimator.” In P.M. Marsden Ed., Sociological Methodology 1995 (pp. 223-251). Washington, DC: American Sociological Association.
6.
Bollen, Kenneth A.1996a. “An Alternative 2SLS Estimator for Latent Variable Models.”Psychometrika61:109-121.
7.
Bollen, Kenneth A.1996b. “A Limited-Information Estimator for LISREL Models With and Without Heteroscedastic Errors.” Pp. 227-241 in Advanced Structural Equation Modeling Techniques, edited by G. Marcoulides and R. Schumacker. Hillsdale, NJ: Lawrence Erlbaum.
8.
Bollen, Kenneth A.
, and Pamela Paxton. 1998. “Interactions of Latent Variables in Structural Equation Models.”Structural Equation Modeling5:267-293.
9.
Davidson, Russell
, and James G. MacKinnon. 1993. Estimation and Inference in Econometrics. New York: Oxford University Press.
10.
Hägglund, Gösta
. 1982. “Factor Analysis By Instrumental Variables Methods.”Psychometrika47:209-222.
11.
John, Oliver P.1990. “The `Big Five' Factor Taxonomy: Dimensions of Personality in the Natural Language and in Questionnaires.” Pp. 66-100 in Handbook of Personality: Theory and Research, edited by L. A. Pervin. New York: Guilford Press.
12.
Jöreskog, Karl G.1983. “Factor Analysis as an Error-in-Variables Model.” Pp. 185-196 in Principles of Modern Psychological Measurement, edited by H. Wainer and S. Messick. Hillsdale, NJ: Lawrence Erlbaum.
13.
Jöreskog, Karl G.
, & Dag Sörbom. 1993. LISREL 8. Mooresville, IN: Scientific Software.
14.
Lance, Charles E.
, John M. Cornwell, and Stanley A. Mulaik. (1988). “Limited Information Parameter Estimates for Latent or Mixed Manifest and Latent Variable Models.”Multivariate Behavioral Research23:155-167.
15.
Madansky, Albert
. 1964. “Instrumental Variables in Factor Analysis.”Psychometrika29:105-113.
16.
Saucier, Gerard
, and Fritz Ostendorf. 1999. “Hierarchical Subcomponents of the Big Five Personality Factors: A Cross-Language Replication.”Journal of Personality and Social Psychology76:613-627.
17.
Toyoda, Hideki
. 1994. “A New Identification Rule and an Estimator for the Simultaneous Equation Model Using the Notation of the Reticular Action Model.”Behaviormetrika21:163-175.
18.
Toyoda, Hideki
. 1997. “A Noniterative Estimation in Confirmatory Factor Analysis by an Instrumental Variable Method.”Behaviormetrika24:147-158.