Model Fit

How well does a theoretical model fit a data set? For confirmatory factor analysis and structural equation modeling, this question is answered using fit indices, a process known as goodness-of-fit. The estimation of fit indices is based on testing the null hypothesis of Σ = Σ (θ). A test statistic allows the testing of the null hypothesis that the model specified by the researcher [Σ] leads to a reproduction of the population covariance matrix of the observed variables [Σ (θ)] and a comparison of the fit of other various models. To assess this goodness-of-fit, various fit indices—absolute and relative fit indices—have been developed (see Table 1).

Estimating the Model

The most common methods for estimation are based on the statistical theory that forms the basis of normal, ...

  • Loading...
locked icon

Sign in to access this content

Get a 30 day FREE TRIAL

  • Watch videos from a variety of sources bringing classroom topics to life
  • Read modern, diverse business cases
  • Explore hundreds of books and reference titles