A structural equation model is described that permits estimation of the reliability index and coefficient of a composite test for congeneric measures. The method is also helpful in exploring the factorial structure of an item set, and its use in scale reliability estimation and development is illustrated. The modeling. estimator of composite reliability it yields does not possess the general underestimation property of Cronbach's coefficient a.
Get full access to this article
View all access options for this article.
References
1.
Allen, M. J. , & Yen, W. M. (1979). Introduction to measurement theory. Monterey CA: Brooks/Cole.
2.
Bentler, P. M. (1995). EQS structural equations program manual. Encino CA: Multivariate Software.
3.
Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
4.
Bollen, K. A. , & Lennox, R. (1991). Conventional wisdom on measurement: A structural equation perspective. Psychological Bulletin, 110, 305-314.
5.
Chan, W. , Yung, Y-F., & Bentler, P. M. (1995). A note on using an unbiased weight matrix in the ADF test statistic. Multivariate Behavioral Research, 30, 453-460.
6.
Cole, D. A. , Maxwell, S. E., Arvey, R., & Salas, E. (1993). Multivariate group comparisons of variable systems: MANOVA and structural equation modeling. Psychological Bulletin, 114, 174-184.
7.
Crocker, L. , & Algina, J. (1986). Introduction to classical and modem test theory. Orlando FL: Holt, Rinehart, & Winston.
8.
Cronbach, L. J. (1951). Coefficient alpha and the internal structure of a test. Psychometrika, 16, 297-334.
9.
Curran, P. J. , West, S. G., & Finch, J. F. (1996). The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis. Psychological Methods, 1, 16-29.
10.
Hershberger, S. L. (1994). The specification of equivalent models before the collection of data. In A. von Eye & C. C. Clogg (Eds.), Latent variables analysis (pp. 68-108). Thousand Oaks CA: Sage.
11.
Hu, L.-T. , Bentler, P. M., & Kano, Y. (1992). Can test statistics in covariance structure analysis be trusted?Psychological Bulletin, 112, 351-362.
12.
Joreskog, K. G. (1971). Statistical analysis of sets of congeneric tests. Psychometrika, 36, 109-133.
13.
Joreskog, K. G. , & Sorbom, D. (1993). LISREL 8: User's guide. Chicago: SPSS Scientific Software.
14.
Kaiser, H. F. , & Caffrey, J. (1965). Alpha factor analysis. Psychometrika, 30, 1-14.
15.
Kaplan, D. (1989). A study of the sampling variability of z-values of parameter estimates from misspecified structural equation models. Multivariate Behavioral Research, 24, 41-57.
16.
Lord, F. M. , & Novick, R. (1968). Statistical theories of mental test scores. Reading MA: AddisonWesley.
17.
McDonald, R. P. (1981). The dimensionality of tests and items. British Journal of Mathematical and Statistical Psychology, 34, 100-117.
18.
Miller, M. B. (1995). Coefficient alpha: A basic introduction from the perspectives of classical test theory and structural equation modeling. Structural Equation Modeling, 2, 255-273.
19.
Raykov, T. , & Widaman, K. (1995). Issues in applied structural equation modeling. Structural Equation Modeling, 2, 289-318.
20.
Rindskopf, D. (1983). Parameterizing inequality constraints on unique variances in linear structural models. Psychometrika, 48, 73-83.
21.
Rindskopf, D. (1984). Using phantom and imaginary latent variables to parameterize constraints in linear structural models. Psychometrika, 49, 37-47.
22.
SPSS, Inc. (1990). SPSS base system user's guide. Chicago: Author.