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Herzog, Walter; Boomsma, Anne – Structural Equation Modeling: A Multidisciplinary Journal, 2009
Traditional estimators of fit measures based on the noncentral chi-square distribution (root mean square error of approximation [RMSEA], Steiger's [gamma], etc.) tend to overreject acceptable models when the sample size is small. To handle this problem, it is proposed to employ Bartlett's (1950), Yuan's (2005), or Swain's (1975) correction of the…
Descriptors: Intervals, Sample Size, Monte Carlo Methods, Computation
Herzog, Walter; Boomsma, Anne; Reinecke, Sven – Structural Equation Modeling: A Multidisciplinary Journal, 2007
According to Kenny and McCoach (2003), chi-square tests of structural equation models produce inflated Type I error rates when the degrees of freedom increase. So far, the amount of this bias in large models has not been quantified. In a Monte Carlo study of confirmatory factor models with a range of 48 to 960 degrees of freedom it was found that…
Descriptors: Monte Carlo Methods, Structural Equation Models, Effect Size, Maximum Likelihood Statistics