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. 2009 Mar 1;74(1):137-143.
doi: 10.1007/s11336-008-9100-1.

Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability

Peter M Bentler  1
Affiliations

Alpha, Dimension-Free, and Model-Based Internal Consistency Reliability

Peter M Bentler. Psychometrika. .

Abstract

As pointed out by Sijtsma (in press), coefficient alpha is inappropriate as a single summary of the internal consistency of a composite score. Better estimators of internal consistency are available. In addition to those mentioned by Sijtsma, an old dimension-free coefficient and structural equation model based coefficients are proposed to improve the routine reporting of psychometric internal consistency. The various ways to measure internal consistency are also shown to be appropriate to binary and polytomous items.

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References

    1. Bentler PM. Generalized classical test theory error variance. American Psychologist. 1964;19:548.
    1. Bentler PM. Alpha-maximized factor analysis (Alphamax): Its relation to alpha and canonical factor analysis. Psychometrika. 1968;33:335–345. - PubMed
    1. Bentler PM. A lower-bound method for the dimension-free measurement of internal consistency. Social Science Research. 1972;1:343–357.
    1. Bentler PM. Should coefficient alpha be replaced by model-based reliability coefficients?; Invited paper presented at International Meetings of the Psychometric Society; Cagliari, IT. 2003. Jul,
    1. Bentler PM. Covariance structure models for maximal reliability of unit-weighted composites. In: Lee S-Y, editor. Handbook of latent variable and related models. North-Holland: Amsterdam; 2007. pp. 1–19.