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Residuals and the Residual-Based Statistic for Testing Goodness of Fit of Structural Equation Models
Peer reviewed
Direct linkFoldnes, Njal; Foss, Tron; Olsson, Ulf Henning – Journal of Educational and Behavioral Statistics, 2012
The residuals obtained from fitting a structural equation model are crucial ingredients in obtaining chi-square goodness-of-fit statistics for the model. The authors present a didactic discussion of the residuals, obtaining a geometrical interpretation by recognizing the residuals as the result of oblique projections. This sheds light on the…
Descriptors: Structural Equation Models, Goodness of Fit, Geometric Concepts, Algebra
Schweizer, Karl – Structural Equation Modeling: A Multidisciplinary Journal, 2006
A model with fixed relations between manifest and latent variables is presented for investigating choice reaction time data. The numbers for fixation originate from the polynomial function. Two options are considered: the component-based (1 latent variable for each component of the polynomial function) and composite-based options (1 latent…
Descriptors: Reaction Time, Algebra, Mathematical Formulas, Item Response Theory
