On the distribution of the maximum likelihood estimator of Cronbach's alpha

By J. M. Zyl, H. Neudecker, D. G. Nel. 2000

140 citations recorded by the source corpus.

Subfields: Food Science, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d222653a7edf5c8840e30209b6e196c2a4162a2b

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In Food Science

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

On the Use, the Misuse, and the Very Limited Usefulness of Cronbach’s Alpha (2008, background): “For example, Van Zyl, Neudecker, and Nel (2000) , Kistner and Muller (2004), and Hayashi and Kamata (2005) in different ways addressed the distribution of alpha; Ten Berge and Soy can (2004) discussed the relationship between alpha and other lower bounds and test unidimensionality; and Zinbarg, Rev”
MINIMUM SAMPLE SIZE FOR CRONBACH'S COEFFICIENT ALPHA: A MONTE-CARLO STUDY CRONBACH ALFA KATSAYISI İÇİN MİNİMUM ÖRNEKLEM GENİŞLİĞİ: MONTE-CARLO ÇALIŞMASI (2008, unknown): “Under the assumption of a multivariate normal distribution, van Zyl et al. (2000) obtained the asymptotic distribution of the α̂ as”
Constructing Approximate Confidence Intervals for Parameters With Structural Equation Models (2009, methodology): “They found that the method proposed by van Zyl, Heinz, and Nel (2000) performed best in terms of the coverage probability.”
The greatest lower bound to the reliability of a test and the hypothesis of unidimensionality (2004, background): “Whereas alpha in small samples tends to slightly underestimate the population value (Feldt, Woodruff, & Salih, 1987; Van Zijl, Neudecker, & Nel, 2000; Yuan & Bentler, 2002), ,~4 and glb may grossly overestimate the population values when computed in small samples (Verhelst, 1998; Shapiro & Ten Ber”
On robusiness of the normal-theory based asymptotic distributions of three reliability coefficient estimates (2002, methodology): “Under the assumption of a multivariate normal distribution, van Zyl et al. (2000) obtained the asymptotic distribution of c) as”
Results on the Standard Error of the Coefficient Alpha Index of Reliability (2005, background): “Recent research has affirmed that Equation (1) is the form of the maximum likelihood estimator of alpha based on a standard assumption of multivariate normality (van Zyl et al. 2000).”
Interpretaciones del Coeficiente Alpha de Cronbach (2005, background): “…1991; McGraw & Wong, 1996) y para hacer pruebas de hipótesis sobre diferencias de dos coeficientes (e.g. Feldt & Ankenmann, 1999; Silver, 2001); adicionalmente, van Zyl et al. (2000) derivaron la distribución asintótica del ̂ sin restricciones sobre la existencia de -equivalencia entre las partes.”
Advancing Alpha: Measuring Reliability with Confidence (2003, unknown): “Recent research has affirmed that Equation 1 is the form of the maximum likelihood estimator of alpha based on an 2 1 2 1 , (1) 1 p i i T p p σ α σ assumption of multivariate normality (van Zyl et al., 2000).”