ERIC Number: EJ720495
Record Type: Journal
Publication Date: 2005-Mar
Reference Count: 47
On Muthen's Maximum Likelihood for Two-Level Covariance Structure Models
Yuan, Ke-Hai; Hayashi, Kentaro
Psychometrika, v70 n1 p147-167 Mar 2005
Data in social and behavioral sciences are often hierarchically organized. Special statistical procedures that take into account the dependence of such observations have been developed. Among procedures for 2-level covariance structure analysis, Muthen's maximum likelihood (MUML) has the advantage of easier computation and faster convergence. When data are balanced, MUML is equivalent to the maximum likelihood procedure. Simulation results in the literature endorse the MUML procedure also for unbalanced data. This paper studies the analytical properties of the MUML procedure in general. The results indicate that the MUML procedure leads to correct model inference asymptotically when level-2 sample size goes to infinity and the coefficient of variation of the level-1 sample sizes goes to zero. The study clearly identifies the impact of level-1 and level-2 sample sizes on the standard errors and test statistic of the MUML procedure. Analytical results explain previous simulation results and will guide the design or data collection for the future applications of MUML.
Descriptors: Sample Size, Behavioral Sciences, Maximum Likelihood Statistics, Statistical Analysis, Social Sciences, Data Collection, Evaluation Methods, Psychometrics
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
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