Point and interval estimation of reliability for multiple-component measuring instruments via linear constraint covariance structure modeling

Structural Equation Modeling

Volumn 11, Issue 3, 2004, Pages 342-356

  Raykov, Tenko ^a  

^a FORDHAM UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIORAL RESEARCH; FUNCTIONS; LINEAR SYSTEMS; MATHEMATICAL MODELS; MEASUREMENT ERRORS; PARAMETER ESTIMATION; SOCIAL ASPECTS; STATISTICAL TESTS;

COVARIANCE STRUCTURE MODELING (CSM); INTERVAL ESTIMATION; LINEAR CONSTRAINTS; MULTIPLE-COMPONENTS; SCALE RELIABILITY;

MATHEMATICAL INSTRUMENTS;

EID: 3042808203     PISSN: 10705511     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15328007sem1103_3     Document Type: Review

References (35)

1. Bentler, P. M. (2004). EQS structural equations program manual. Encino, CA: Multivariate Software.
2. Bollen, K. A. (1989). Structural equations with latent variables. New York: Wiley.
3. Cronbach, L. J. (1951). Coefficient alpha and the internal structure of a test. Psychometrika, 16, 297-334.
4. Feldt, L. S. (1965). The approximate sampling distribution of Kuder-Richardson reliability coefficient twenty. Psychometrika, 30, 357-370.
5. Feldt, L. S., Woodruff, D. J., & Salih, F. A. (1987). Statistical inference for coefficient alpha. Applied Psychological Measurement, 11, 93-103.
6. Green, S. B., & Hershberger, S. L. (2000). Correlated errors in true score models and their effect on coefficient alpha. Structural Equation Modeling, 7, 251-270.
7. Hays, W. L. (1994). Statistics. Orlando, FL: Harcourt Brace.
8. Jöreskog, K. G. (1971). Statistical analysis of sets of congeneric tests. Psychometrika, 36, 109-133.
9. Jöreskog, K. G., & Sörbom, D. (1996). LISREL 8: User's reference guide. Chicago, IL: Scientific Software International.
10. Komaroff, E. (1997). Effect of simultaneous violations of essential tau-equivalence and correlated errors on coefficient alpha. Applied Psychological Measurement, 21, 337-348.
11. Lord, F. M. (1955). Sampling fluctuations resulting from sampling of items. Psychometrika, 20, 1-22.
12. Lord, F. M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum Associates, Inc.
13. Lord, F. M., & Novick, M. (1968). Statistical theories of mental test scores. Readings, MA: Addison-Wesley.
14. McDonald, R. P. (1981). The dimensionality of tests and items. British Journal of Mathematical and Statistical Psychology, 34, 100-117.
15. McDonald, R. P. (1999). Test theory: A unified treatment. Mahwah, NJ: Lawrence Erlbaum Associates, Inc.
16. Muthén, B. O., & Muthén, L. K. (2004). MPLUS user's guide. Los Angeles: Author.
17. Neale, M. (1997). MX user's guide. Richmond, VA: Virginia Commonwealth University, Department of Psychiatry.
18. Novick, M. R., & Lewis, C. (1967). Coefficient alpha and the reliability of composite measurement. Psychometrika, 32, 1-13.
19. Rao, C. R. (1973). Linear statistical inference and its applications. New York: Wiley.
20. Raykov, T. (1997a). Estimation of composite reliability for congeneric measures. Applied Psychological Measurement, 22, 173-184.
21. Raykov, T. (1997b). Scale reliability, Cronbach's coefficient alpha, and violations of essential tau-equivalence with fixed congeneric components. Multivariate Behavioral Research, 32, 329-353.
22. Raykov, T. (1998a). Coefficient alpha and composite reliability with interrelated nonhomogeneous items. Applied Psychological Measurement, 22, 375-385.
23. Raykov, T. (1998b). A method for obtaining standard errors and confidence intervals of composite reliability for congeneric items. Applied Psychological Measurement, 22, 369-374.
24. Raykov, T. (2001 a). Bias of Cronbach's coefficient alpha for fixed congeneric measures with correlated errors. Applied Psychological Measurement, 25, 69-76.
25. Raykov, T. (2001b). Estimation of congeneric scale reliability using covariance structure models with nonlinear constraints. British Journal of Mathematical and Statistical Psychology, 54, 213-221.
26. Raykov, T. (2002a). Analytic estimation of standard error and confidence interval for scale reliability. Multivariate Behavioral Research, 37, 89-103.
27. Raykov, T. (2002b). Examining group differences in reliability of multiple-component measuring instruments. British Journal of Mathematical and Statistical Psychology, 55, 145-158.
28. Raykov, T. (2003). Behavioral scale reliability and measurement invariance evaluation using latent variable modeling. Behavior Therapy, 35, 299-331.
29. Raykov, T. (2004). Estimation of maximal reliability: A covariance structure modeling approach. British Journal of Mathematical and Statistical Psychology, 57, 21-27.
30. Raykov, T., & Grayson, D. A. (2003). A test for change of composite reliability in scale development. Multivariate Behavioral Research, 38, 143-159.
31. Raykov, T., Marcoulides, G. A., & Boyd, J. (2003). Using SEM programs to perform matrix manipulation and data simulation. Structural Equation Modeling, 10, 312-322.
32. Williams, R. H., & Zimmerman, D. T. (1996). Are simple gain scores obsolete? Applied Psychological Measurement, 21, 59-69.
33. Zimmerman, D. W. (1972). Test reliability and the Kuder-Richarson formulas: Derivation from probability theory. Educational and Psychological Measurement, 32, 939-954.
34. Zimmerman, D. W. (1975). Probability spaces, Hilbert spaces, and the axioms of test theory. Psychometrika, 40, 395-412.
35. Zimmerman, D. W., Zumbo, B. D., & Lalonde, C. (1993). Coefficient alpha as an estimate or reliability under violation of two assumptions. Educational and Psychological Measurement, 53, 33-49.