Differences between Cronbach’s alpha coefficients, with small samples and parts: A VB program
Abstract
This paper presenting a computer program written in VB 6.0, to calculate the difference between internal consistency coefficients (Cronbach’s alpha) obtained in independent small samples and with instruments have a small number of parts or items. The comparison of reliability coefficients allow to identify possible differences in amount of measurement error in instruments; this methodology use the hypothesis testing approach for test the null hypothesis of equally reliability coefficients. This situation is tending to be common in clinical practice between psychologists or allied career, and even in the construction phases of instruments of measurement, for example in pilot samples. The proposed technique is from the work of Feldt and Kim (2006), and offers a viable and interesting methodological proposal that expands the analysis of the reliability of instruments of psychological and educational measurement.
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References
Alsawalmeh, Y. M. y Feldt, L. S. (1999). Testing the equality of inde-pendent alpha coefficients adjusted for test length. Educational and Psychological Measurement, 59(3), 373-383. Doi: 10.1177/00131649921969929
Bochkanov, S. y Bystritsky, V. (2009) ALGLIB NET. En línea: (http://www.alglib.net). Acceso: 12 de enero del 2009.
Bonett, D. G. (2002). Sample size requirements for testing and estimating coefficient alpha. Journal of Educational and Behavioral Statistics, 27, 335–340. Doi:10.3102/10769986027004335
Bonett, D. G. (2003). Sample size requirements for comparing two alpha coefficients. Applied Psychological Measurement, 27, 72–74. Doi: 10.1177/0146621602239477
Charter, R. A. (2003). Study samples are too small to produce sufficiently precise reliability coefficients. The Journal of General Psychology, 130(2), 117-129. Doi: 10.1080/00221300309601280
Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16, 297-334. Doi: 10.1007/BF02310555
Feldt, L. S. y Brennan, R. L. (1989). Reliability. En R. L. Linn (Ed.), Educational measurement (3rd ed., pp. 105-146). New York: Macmillan.
Feldt, L. S. y Kim, S. (2006). Testing the difference between two alpha coefficients with small samples of subjects and raters. Educational and Psychological Measurement, 66(4), 589-600. Doi: 10.1177/0013164405282488
Feldt, L. S. (1965). The approximate sampling distribution of Kuder-Richarson reliability coefficient twenty. Psychometrika, 30, 357-370. Doi: 10.1007/BF02289499
Feldt, L. S. y Ankenmann, R. D. (1998). Appropriate sample size for comparing alpha reliabilities. Applied Psychological Measurement, 22, 170-178. Doi: 1177/01466216980222006
Feldt, L. S. y Ankenmann, R. D. (1999). Determining sample size for a test of the equality of alpha coefficients when the number of part-tests is small. Psychological Methods, 4, 366-377. Doi: 10.1007/BF02294264
Hakstian, A. R. y Whalen, T. E. (1976). A k-sample significance test for independent Alpha coefficients. Psychometrika, 41, 219-231. Doi: 10.1007/BF02291840
Lautenschlager , G. J. y Meade, A. W. (2008). AlphaTest: A windows program for tests of hypotheses about coefficient alpha. Applied Psychological Measurement, 23, 502-503. Doi: 10.1177/0146621607312307
Lautenschlager, G. J. (1989). Alphatest, testing for differences in values of coefficient alpha. Applied Psychological Measurement, 13 (3) 284. Doi: 10.1177/0146621607312307.
Merino, C. & Lautenschlager, G. J. (2003). Comparación estadística de la confiabilidad alfa de Cronbach: aplicaciones en la medición educacional y psicológica. Revista de Psicología de la Universidad de Chile, 12(2), 129-139.
Moshier, S.L. (1989). Methods and programs for mathematical functions. Eng-lewood Cliffs, NJ: Prentice-Hall.
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