A New Incremental Fit Index for General Structural Equation Models

Sociological Methods and Research - Tập 17 Số 3 - Trang 303-316 - 1989
Kenneth A. Bollen1
1University of North Carolina at Chapel Hill

Tóm tắt

Assessing overall model fit is an important problem in general structural equation models. One of the most widely used fit measures is Bentler and Bonett's (1980) normed index. This article has three purposes: (1) to propose a new incremental fit measure that provides an adjustment to the normed index for sample size and degrees of freedom, (2) to explain the relation between this new fit measure and the other ones, and (3) to illustrate its properties with an empirical example and a Monte Carlo simulation. The simulation suggests that the mean of the sampling distribution of the new fit measure stays at about one for different sample sizes whereas that for the normed fit index increases with N. In addition, the standard deviation of the new measure is relatively low compared to some other measures (e.g., Tucker and Lewis's (1973) and Bentler and Bonett's (1980) nonnormed index). The empirical example suggests that the new fit measure is relatively stable for the same model in different samples. In sum, it appears that the new incremental measure is a useful complement to the existing fit measures.

Từ khóa


Tài liệu tham khảo

10.1007/BF02294170

10.2307/3151716

10.1037/0033-2909.88.3.588

10.1007/BF02294061

BOLLEN, K. A., 1988 Convention of the American Sociological Association

BROWNE, M., Topics in Multivariate Analysis, 72

10.1177/0049124183011003003

JÖRESKOG, K. G., LISREL VI: Analysis of Linear Structural Relationships by Maximum Likelihood and Least Squares Methods

10.1007/BF02294104

10.1007/BF02291170

10.1177/0049124187016001005