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

Theory and Methods

- First Online:

- Received:
- Accepted:

DOI: 10.1007/s11336-008-9100-1

- Cite this article as:
- Bentler, P.M. Psychometrika (2009) 74: 137. doi:10.1007/s11336-008-9100-1

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## 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.

### Keywords

commonuniquetrueerror scores## Copyright information

© The Psychometric Society 2008