A comparison of tests for equality of two or more independent alpha coefficients

Journal of Educational Measurement

Volumn 45, Issue 2, 2008, Pages 179-193

  Kim, Seonghoon ^a   Feldt, Leonard S ^b  

^a Keimyung University   (South Korea)

^b UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43949103783     PISSN: 00220655     EISSN: 17453984     Source Type: Journal    
DOI: 10.1111/j.1745-3984.2008.00059.x     Document Type: Article

References (27)

1. Alsawalmeh, Y. M., & Feldt, L. S. (1994). A modification of Feldt's test of the equality of two dependent alpha coefficients. Psychometrika, 59, 49–57.
2. Alsawalmeh, Y. M., & Feldt, L. S. (1999). Testing the equality of two independent α coefficients adjusted by the Spearman‐Brown formula. Applied Psychological Measurement, 23, 363–370.
3. Barchard, K. A., & Hakstian, A. R. (1997). The robustness of confidence intervals for coefficient alpha under violation of the assumption of essential parallelism. Multivariate Behavioral Research, 32, 169–191.
4. Bonett, D. G. (2002). Sample size requirements for testing and estimating coefficient alpha. Journal of Educational and Behavioral Statistics, 27, 335–340.
5. Bonett, D. G. (2003a). Sample size requirements for comparing two alpha coefficients. Applied Psychological Measurement, 27, 72–74.
6. Bonett, D. G. (2003b, August). Statistical inference for coefficient alpha. Paper presented at the annual meeting of the American Statistical Association, San Francisco, CA.
7. Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16, 297–334.
8. Feldt, L. S. (1965). The approximate sampling distribution of Kuder‐Richardson reliability coefficient twenty. Psychometrika, 30, 357–370.
9. Feldt, L. S. (1969). A test of the hypothesis that Cronbach's alpha or Kuder‐Richardson coefficient twenty is the same for two tests. Psychometrika, 34, 363–373.
10. Feldt, L. S. (1980). A test of the hypothesis that Cronbach's alpha reliability coefficient is the same for two tests administered to the same sample. Psychometrika, 45, 99–105.
11. Feldt, L. S., & Ankenmann, R. D. (1998). Appropriate sample size for comparing alpha reliabilities. Applied Psychological Measurement, 22, 170–178.
12. Feldt, L. S., & Brennan, R. L. (1989). Reliability. In R. L. Linn (Ed.), Educational measurement (3rd ed., pp. 105–146). New York: Macmillan.
13. Feldt, L. S., & Kim, S. (2006). Testing the difference between two alpha coefficients with small samples of subjects and raters. Educational and Psychological Measurement, 66, 589–600.
14. Feldt, L. S., & Qualls, A. L. (1996). Bias in coefficient alpha arising from heterogeneity of test content. Applied Measurement in Education, 9, 277–286.
15. Feldt, L. S., Woodruff, D. J., & Salih, F. A. (1987). Statistical inference for coefficient alpha. Applied Psychological Measurement, 11, 93–103.
16. Fisher, R. A. (1925). Statistical methods for research workers. Edinburgh: Oliver & Boyd.
17. Gulliksen, H. (1950). Theory of mental tests. New York: John Wiley & Sons.
18. Hakstian, A. R., & Whalen, T. E. (1976). A k‐ sample significance test for independent alpha coefficients. Psychometrika, 41, 219–231.
19. Lord, F. M., & Novick, M. R. (1968). Statistical theories of mental test scores. Reading, MA: Addison‐Wesley.
20. Maydeu‐Olivares, A., Coffman, D. L., & Hartmann, W. M. (2007). Asymptotically distribution‐free (ADF) interval estimation of coefficient alpha. Psychological Methods, 12, 157–176.
21. Nitko, A. J. (1968). The power functions of some proposed tests for the significance of coefficient alpha in the one‐sample and two‐sample cases. Unpublished doctoral dissertation, University of Iowa, Iowa City.
22. Novick, M. R., & Lewis, C. (1967). Coefficient alpha and the reliability of composite measurements. Psychometrika, 32, 1–13.
23. Odell, P. L., & Feiveson, A. H. (1966). A numerical procedure to generate a sample covariance matrix. Journal of the American Statistical Association, 61, 199–203.
24. Paulson, E. (1942). An approximate normalization of the analysis of variance distribution. Annals of Mathematical Statistics, 13, 233–235.
25. Woodruff, D. J., & Feldt, L. S. (1986). Tests for equality of several alpha coefficients when their sample estimates are dependent. Psychometrika, 51, 393–413.
26. Yuan, K.‐H., & Bentler, P. M. (2002). On robustness of the normal‐theory based asymptotic distributions of three reliability coefficient estimates. Psychometrika, 67, 251–259.
27. Zimmerman, D. W., Zumbo, B. D., & Lalonde, C. (1993). Coefficient alpha as an estimate of test reliability under violation of two assumptions. Educational and Psychological Measurement, 53, 33–49.