A Note on Using Stratified Alpha to Estimate the Composite Reliability of a Test Composed of Interrelated Nonhomogeneous Items

Psychological Methods

Volumn 12, Issue 2, 2007, Pages 177-184

  Rae, Gordon ^a  

^a UNIVERSITY OF ULSTER   (United Kingdom)

Author keywords

composite reliability; correlated factors; errors of measurement; nonhomogeneous items; stratified alpha

Indexed keywords

ARTICLE; HUMAN; PSYCHOLOGIC TEST; PSYCHOMETRY; REPRODUCIBILITY; STATISTICS;

HUMANS; PSYCHOLOGICAL TESTS; PSYCHOMETRICS; REPRODUCIBILITY OF RESULTS; STATISTICS;

EID: 34548451289     PISSN: 1082989X     EISSN: None     Source Type: Journal    
DOI: 10.1037/1082-989X.12.2.177     Document Type: Article

References (24)

1. Abramowitz M., and Stegun I.A. Handbook of mathematical functions (1986), Dover, New York
2. Battle J. Culture-Free Self-Esteem Inventories. 2nd ed. (1992), Pro-Ed, Austin, TX
3. Cortina J.M. What is coefficient alpha? An examination of theories and applications. Journal of Applied Psychology 78 (1993) 98-104
4. Cronbach L.J. Coefficient alpha and the internal structure of tests. Psychometrika 16 (1951) 297-334
5. Cronbach L.J., Schönemann P., and McKie D. Alpha coefficients for stratified-parallel tests. Educational and Psychological Measurement 25 (1965) 291-312
6. Feldt L.S., and Brennan R.L. Reliability. In: Linn R.L. (Ed). Educational measurement. 3rd ed. (1989), Macmillan, New York 105-146
7. Feldt L.S., and Qualls A.L. Bias in coefficient alpha arising from heterogeneity of test content. Applied Measurement in Education 9 (1996) 277-286
8. Guttman L. A basis for analyzing test-retest reliability. Psychometrika 10 (1945) 255-282
9. Hogan T.P., Benjamin A., and Brezinski K.L. Reliability methods: A note on the frequency of use of various types. Educational and Psychological Measurement 60 (2000) 523-531
10. Jackson P.H., and Agunwamba C.C. Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: I. Algebraic lower bounds. Psychometrika 42 (1977) 567-578
11. Jöreskog K.G. Statistical analysis of sets of congeneric tests. Psychometrika 36 (1974) 109-133
12. Kamata, A., Turhan, A., & Darandari, E. (2003, 4). Estimating reliability for multidimensional composite scale scores. Paper presented at the annual meeting of the American Educational Research Association, Chicago, IL. Retrieved July 16, 2005, from http://www.coe.fsu.edu/AERA/Kamata2.pdf
13. Lord F.M., and Novick M.R. Statistical theories of mental test scores (1968), Addison-Wesley, Reading, MA
14. Mulhern, F. (1999). Gender and GCSE mathematics achievement at single-sex schools: The effects of attitude, self-esteem, sex role identity, and parental influences. Unpublished doctoral dissertation, University of Ulster, Coleraine, Northern Ireland.
15. Novick M.R., and Lewis C. Coefficient alpha and the reliability of composite measurements. Psychometrika 32 (1967) 1-13
16. Osburn H.G. Coefficient alpha and related internal consistency reliability coefficients. Psychological Methods 5 (2000) 343-355
17. Rae, G. (in press). A note on using alpha and stratified alpha to estimate the reliability of a test composed of item parcels. British Journal of Mathematical and Statistical Psychology
18. Rajaratnam N., Cronbach L.S., and Gleser G.C. Generalizability of stratified-parallel tests. Psychometrika 30 (1965) 39-46
19. Raykov T. Coefficient alpha and composite reliability with interrelated nonhomogeneous items. Applied Psychological Measurement 22 (1998) 375-385
20. Raykov T. Bias of coefficient α for fixed congeneric measures with correlated errors. Applied Psychological Measurement 25 (2001) 69-76
21. Ten Berge J.M.F., and Soĉan G. The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality. Psychometrika 69 (2004) 613-625
22. Ten Berge J.M.F., and Zegers F.E. A series of lower bounds to the reliability of a test. Psychometrika 43 (1978) 575-579
23. Woodhouse B., and Jackson P.H. Lower bounds for the reliability of the total score on a test composed of non-homogeneous items: II. A search procedure to locate the greatest lower bound. Psychometrika 42 (1977) 579-591
24. Woodward J.A., and Bentler P.M. A statistical lower bound to population reliability. Psychological Bulletin 85 (1978) 1323-1326