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Re: st: factor analysis - calculating Crohnbach's alpha


From   "JVerkuilen (Gmail)" <jvverkuilen@gmail.com>
To   statalist@hsphsun2.harvard.edu
Subject   Re: st: factor analysis - calculating Crohnbach's alpha
Date   Tue, 9 Oct 2012 18:45:33 -0400

Being one of the resident psychometricians, I can give a more complete
answer later but Cronbach's alpha for an unweighted total score in
Stata is given by -alpha-. It has quite a number of options and is
probably what you're looking for.

Principal components of the correlation matrix gives a different
reliability coefficient, Armor's theta, which is defined to be

       theta = [Q/(Q-1)] (1 - 1/maxeigenvalue)

This is the reliability coefficient corresponding to the first
principal component.

If you use factor analysis to determine weights, you can compute
McDonald's omega:

      omega = (sum of factor loadings)^2 / (sum of uniquenesses + (sum
of factor loadings)^2)

This works for both correlation and covariance matrices.
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