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A Cautionary Note on Using G[squared](dif) to Assess Relative Model Fit in Categorical Data Analysis
Maydeu-Olivares, Albert; Cai, Li – Multivariate Behavioral Research, 2006
The likelihood ratio test statistic G[squared](dif) is widely used for comparing the fit of nested models in categorical data analysis. In large samples, this statistic is distributed as a chi-square with degrees of freedom equal to the difference in degrees of freedom between the tested models, but only if the least restrictive model is correctly…
Descriptors: Goodness of Fit, Data Analysis, Simulation, Item Response Theory
Peer reviewedVelicer, Wayne F.; And Others – Multivariate Behavioral Research, 1982
Factor analysis, image analysis, and principal component analysis are compared with respect to the factor patterns they would produce under various conditions. The general conclusion that is reached is that the three methods produce results that are equivalent. (Author/JKS)
Descriptors: Comparative Analysis, Data Analysis, Factor Analysis, Goodness of Fit

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