Rigorous comparison of the reliability coefficients
of several tests or measurement procedures requires a
sampling theory for the coefficients. This paper summarizes
the important aspects of the sampling theory
for Cronbach’s (1951) coefficient alpha, a widely used
internal consistency coefficient. This theory enables
researchers to test a specific numerical hypothesis
about the population alpha and to obtain confidence
intervals for the population coefficient. It also permits
researchers to test the hypothesis of equality among
several coefficients, either under the condition of independent
samples or when the same sample has been
used for all measurements. The procedures are illustrated
numerically, and the assumptions and derivations
underlying the theory are discussed.
Feldt, Leonard S, Woodruff, David J & Salih, Fathi A. (1987). Statistical inference for coefficient alpha. Applied Psychological Measurement, 11, 93-103. doi:10.1177/014662168701100107
Feldt, Leonard S.; Woodruff, David J.; Salih, Fathi A..
Statistical inference for coefficient alpha.
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