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van Zyl, J. M.; Neudecker, H.; Nel, D. G. – Psychometrika, 2000
Derives the asymptotic normal distribution of the maximum likelihood estimator of Cronbach's alpha (under normality) for the case when no assumptions are made about the covariances among items. Also considers the asymptotic distribution for the special case of compound symmetry and when compared to the exact distribution. (Author/SLD)
Descriptors: Equations (Mathematics), Maximum Likelihood Statistics, Reliability, Statistical Distributions
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Headrick, Todd C.; Sawilosky, Shlomo S. – Psychometrika, 1999
Proposes a procedure for generating multivariate nonnormal distributions. The procedure, an extension of the Fleishman power method (A. Fleishman, 1978), generates the average value of intercorrelations much closer to population parameters than competing procedures for skewed and heavy tailed distributions and small sample sizes. Reports Monte…
Descriptors: Correlation, Equations (Mathematics), Monte Carlo Methods, Multivariate Analysis
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Yuan, Ke-Hai; Bentler, Peter M.; Chan, Wai – Psychometrika, 2004
Data in social and behavioral sciences typically possess heavy tails. Structural equation modeling is commonly used in analyzing interrelations among variables of such data. Classical methods for structural equation modeling fit a proposed model to the sample covariance matrix, which can lead to very inefficient parameter estimates. By fitting a…
Descriptors: Structural Equation Models, Statistical Distributions, Evaluation Methods, Data Analysis