According to Brown (2015), one is expected to examine and report localized areas of ill fit (e.g. modification indices (MI)) as part of the model evaluation. I have a number of questions about reporting and examining the MI’s given the following scenario
- Overall fit of the model being tested in CFA is good according to CFI,
TLI, S-RMR, RMSEA
- However, there are simply too many modification indices that exceed the value of 10 (about the same number as the total number of indicators). For the most part, these pertained to error covariances of items that load onto the same latent variables. Therefore, it is not easy to dismiss the large MI values on the basis of substantive reasons.
How do you interpret so many indicators of poor local fit in the presence of
good overall model fit?
Are you expected to report AND address "focal strains"?
Reference Brown, Timothy A. Confirmatory factor analysis for applied research. Guilford Publications, 2015.