A monte carlo study of eight confidence interval methods for coefficient alpha

Educational and Psychological Measurement

Volumn 70, Issue 3, 2010, Pages 376-393

  Romano, Jeanine L ^a   Kromrey, Jeffrey D ^b   Hibbard, Susan T ^b  

^a AMERICAN UNIVERSITY OF SHARJAH   (United Arab Emirates)

^b UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

Coefficient alpha; Confidence intervals; Fisher's Z transformation; Reliability; Simulation studies

Indexed keywords

EID: 77953997831     PISSN: 00131644     EISSN: 15523888     Source Type: Journal    
DOI: 10.1177/0013164409355690     Document Type: Article

References (17)

1. Bonett, D.G. (2002). Sample size requirements for testing and estimating coefficient alpha. Journal of Educational and Behavioral Statistics,27, 335-340.
2. Bradley, J.V. (1978). Robustness? British Journal of Mathematics and Statistical Psychology, 31, 144-152.
3. Crocker. L., & Algina, J. (1986). Introduction to classical and modern test theory. Toronto, Ontario, Canada: Holt Rinehart & Winston.
4. Cronbach, L.J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika,16, 297-334.
5. Feldt, L.S. (1965). The approximate sampling distribution of Kuder-Richardson reliability coefficient twenty. Psychometrika, 30, 357-370.
6. Feldt, L.S., & Brennan, R.L. (1989). Reliability. In R. L. Linn (Ed.), Educational measurement (3rd ed., pp. 105-146). New York: American Council on Education and Macmillan.
7. Fisher, R.A. (1950). Statistical methods for research workers. Edinburgh, UK: Oliver & Boyd.
8. Hakstian, A.R., & Whalen, T.E. (1976). A k-sample significance test for independent alpha coefficients. Psychometrika, 41, 219-231.
9. Hanson, B.A., & Beguin, A.A. (1999, April). Obtaining a common scale for IRT item parameters using separate versus concurrent estimation in the common item nonequivalent groups equating design. Paper presented at the annual meeting of the National Council on Measurement in Education, Montreal, Quebec, Canada.
10. Hogan, T.P., Benjamin, A., & Brezinski, K.L. (2000). Reliability methods. Educational and Psychological Measurement, 60, 523-531.
11. Iacobucci, D., & Duhachek, A. (2003). Advancing alpha: measuring reliability with confidence. Journal of Consumer Psychology, 13, 478-487.
12. Koning, A.J., & Franses, P.H. (2003). Confidence intervals for Cronbach̀s coefficient alpha values (ERIM Report Series Ref. No. ERS-2003-041-MKT). Rotterdam, The Netherlands: Erasmus Research Institute of Management.
13. Kristof, W. (1963). The statistical theory of stepped-up reliability coefficients when a test has been divided into several equivalent parts. Psychometrika, 28,221-238.
14. Lord, F.M. (1974). Variance stabilizing transformation of the stepped-up reliability coefficient. Journal of Educational Measurement, 11, 55-57.
15. Maydeu-Olivares, A., Coffman, D.L., & Hartmann, W.M. (2007). Asymptotically distribution-free (ADF) interval estimation of coefficient alpha. Psychological Methods,12, 157-176.
16. Peterson, R.A. (1994). A meta-analysis of Cronbach's coefficient alpha. Journal of Consumer Research, 21,381-391.
17. Robey, R., & Barcikowski, R. (1992). Type I error and the number of iterations in Monte Carlo studies of robustness. British Journal of Mathematics and Statistical Psychology, 45, 283-288.