ERIC Number: EJ720493
Record Type: Journal
Publication Date: 2005-Mar
Cronbach's [Alpha], Revelle's [Beta], and McDonald's [Omega][sub H]: Their Relations with Each Other and Two Alternative Conceptualizations of Reliability
Zinbarg, Richard E.; Revelle, William; Yovel, Iftah; Li, Wen
Psychometrika, v70 n1 p123-133 Mar 2005
We make theoretical comparisons among five coefficients--Cronbach's [alpha], Revelle's [beta], McDonald's [omega][sub h], and two alternative conceptualizations of reliability. Though many end users and psychometricians alike may not distinguish among these five coefficients, we demonstrate formally their nonequivalence. Specifically, whereas there are conditions under which [alpha], [beta], and [omega][sub h] are equivalent to each other and to one of the two conceptualizations of reliability considered here, we show that equality with this conceptualization of reliability and between [alpha] and [omega][sub h] holds only under a highly restrictive set of conditions and that the conditions under which [beta] equals [omega][sub h] are only somewhat more general. The nonequivalence of [alpha], [beta], and [omega][sub h] suggests that important information about the psychometric properties of a scale may be missing when scale developers and users only report [alpha] as is almost always the case.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Authoring Institution: N/A