2005
DOI: 10.1007/s11336-003-0974-7
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Cronbach’s α, Revelle’s β, and Mcdonald’s ωH: their relations with each other and two alternative conceptualizations of reliability

Abstract: northwestern university, the family institute at northwestern university William Revelle northwestern university Iftah Yovel northwestern university Wen Li northwestern universityWe make theoretical comparisons among five coefficients -Cronbach's , Revelle's , McDonald's 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 condit… Show more

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Cited by 1,235 publications
(1,056 citation statements)
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References 25 publications
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“…Raykov's (1997a), an internal consistency estimate unaffected by violation of this assumption, yielded reliability estimates slightly higher. Although the small magnitude of difference was consistent with prior work on these coefficients (Raykov, 1997a(Raykov, , 1997b; see also Zinbarg et al, 2005), these analyses do suggest it may slightly underestimate reliability for some subcomponents.…”
Section: Discussionsupporting
confidence: 84%
See 1 more Smart Citation
“…Raykov's (1997a), an internal consistency estimate unaffected by violation of this assumption, yielded reliability estimates slightly higher. Although the small magnitude of difference was consistent with prior work on these coefficients (Raykov, 1997a(Raykov, , 1997b; see also Zinbarg et al, 2005), these analyses do suggest it may slightly underestimate reliability for some subcomponents.…”
Section: Discussionsupporting
confidence: 84%
“…For instance, even though is intended for unidimensional scales, these results clearly show that was high for the multifactorial NEO-FFI domains. It is well known in the psychometric literature that is not a measure of dimensionality or homogeneity (Cortina, 1993;Streiner, 2003a), and for this reason, alternative estimates of reliability provide a better estimate of true reliability when scales are not con-generic or essentially tau equivalent (Zinbarg et al, 2005; see also Bentler, in press).…”
Section: Discussionmentioning
confidence: 99%
“…El alfa de Cronbach es la medida de consistencia interna más popular en los estudios de validación en publicaciones biomédicas (15,45). Sin embargo, el alfa de Cronbach puede subestimar la consistencia interna cuando no se cumple el principio de equivalencia tau, es decir, cuando los incisos muestran coeficientes muy disímiles en la matriz de una solución factorial, caso en el que el omega de McDonald es una mejor medida de la consistencia interna.…”
Section: Análisis Estadísticounclassified
“…O alfa e o ômega são estimados com base em relações bisseriais (entre variáveis ordinais e contínuas) e policóricas (variáveis ordinais). A utilização desses dois indicadores deve-se ao fato de o alfa ser considerado o menor e o ômega, o maior valor atribuível à consistência interna, sendo o cálculo baseado na proporção da variância comum dos itens do instrumento [28][29][30] .…”
Section: Propriedades Psicométricasunclassified