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Yuan, Ke-Hai; Chan, Wai – Psychometrika, 2005

The normal theory based maximum likelihood procedure is widely used in structural equation modeling. Three alternatives are: the normal theory based generalized least squares, the normal theory based iteratively reweighted least squares, and the asymptotically distribution-free procedure. When data are normally distributed and the model structure…

Descriptors: Mathematical Concepts, Structural Equation Models, Least Squares Statistics, Maximum Likelihood Statistics

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Yuan, Ke-Hai; Bentler, Peter M. – Psychometrika, 2000

Studied whether the standard z-statistic that evaluates whether a factor loading is statistically necessary is correctly applied in such situations and more generally when the variables being analyzed are arbitrarily rescaled. An example illustrates that neither the factor loading estimates nor the standard error estimates possess scale…

Descriptors: Error of Measurement, Estimation (Mathematics), Mathematical Models, Maximum Likelihood Statistics