# Confirmatory Factor Analysis - Evaluating Model Fit

Evaluating Model Fit

Most statistical methods only require one statistical test to determine the significance of the analyses. However, in CFA, several statistical tests are used to determine how well the model fits to the data. Note that a good fit between the model and the data does not mean that the model is “correct”, or even that it explains a large proportion of the covariance. A “good model fit” only indicates that the model is plausible. When reporting the results of a confirmatory factor analysis, one is urged to report: a) the proposed models, b) any modifications made, c) which measures identify each latent variable, d) correlations between latent variables, d) any other pertinent information, such as whether constraints are used. With regard to selecting model fit statistics to report, one should not simply report the statistics that estimate the best fit, though this may be tempting. Though several varying opinions exist, Kline (2010) recommends reporting the Chi-squared test, the RMSEA, the CFI, and the SRMR.

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Confirmatory Factor Analysis - Evaluating Model Fit - Relative Fit Indices - Comparative Fit Index
... The comparative fit index (CFI) analyzes the model fit by examining the discrepancy between the data and the hypothesized model, while adjusting for the issues of sample size inherent in ... CFI values range from 0 to 1, with larger values indicating better fit a CFI value of.90 or larger is generally considered to indicate acceptable model fit ...

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