## The model-size effect on traditional and modified tests of covariance structures (2007)

Venue: | Structural Equation Modeling |

Citations: | 5 - 4 self |

### BibTeX

@ARTICLE{Herzog07themodel-size,

author = {Walter Herzog and Anne Boomsma and Sven Reinecke},

title = {The model-size effect on traditional and modified tests of covariance structures},

journal = {Structural Equation Modeling},

year = {2007},

volume = {14},

pages = {361--390}

}

### OpenURL

### Abstract

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 the traditional maximum likelihood ratio statistic, TML, overestimates nominal Type I error rates up to 70 % under conditions of multivariate normality. Some alternative statistics for the correction of model-size effects were also investigated: the scaled Satorra–Bentler statistic, TSC; the adjusted Satorra–