Cronbach's α, Revelle's β, and McDonald's ωH :: Their relations with each other and two alternative conceptualizations of reliability
Cronbach's α, Revelle's β, and McDonald's ωH :: Their relations with each other and two alternative conceptualizations of reliability
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DOI：
10.1007/s11336-003-0974-7
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发表时间：
2005-03-01
期刊：
影响因子：
3
通讯作者：
Li, W
中科院分区：
文献类型：
--
作者：
Zinbarg, RE;Revelle, W;Li, W
我们在五个系数之间进行理论比较- Cronbach的α，Revelle的β，McDonald的ω（h），和两个替代的概念化的可靠性。虽然许多最终用户和心理测量师可能无法区分这五个系数，我们正式证明他们的不等价。具体地说，虽然有条件下，α，β和ω（h）是相互等价的，并考虑在这里的两个概念化的可靠性之一，我们表明，平等与这种概念化的可靠性和α和ω（h）之间的保持只有在一个高度限制性的条件下，条件下，β等于ω（h）只是稍微更一般。alpha、beta和omega（h）的不等价性表明，当量表开发者和使用者几乎总是只报告alpha时，可能会丢失有关量表心理测量特性的重要信息。
We make theoretical comparisons among five coefficients - Cronbach's alpha, Revelle's beta, McDonald's omega(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(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(h) holds only under a highly restrictive set of conditions and that the conditions under which beta equals omega(h) are only somewhat more general. The nonequivalence of alpha, beta, and omega(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.