2005 Volume 32 Issue 2 Pages 209-235
In this paper we surveyed several fit indices, model modification methods, and other related previous studies in structural equation modeling. Inconsistency in results was detected from the review of the literature. To obtain more reliable knowledge, we performed simulation studies some ten times larger in scale than previous studies to examine the soundness of Golden Rules and the relationship between indices. Also, bias in the distribution of likelihood ratio statistics which depends both sample size and model complexty was indicated as a result of another large simulation study. This could be one of the causes of inconsistency in former studies of fit indices. We also examined fit indices for structural equation modeling with mean structure, multiple groups and categorical indicators. Stepwise estimation methods, model modification methods, and Item Parceling Issues were also reviewed.
