The effect on fit measures of model misspecification when there is a planned pattern of missingness

This research aims to assess the sensitivity of the typical fit measures, specifically the root mean square error of approximation, standardized root mean square residual, comparative fit index, and Tucker-Lewis index, in the adjustment of misspecified structural equation models when there is a planned pattern of missingness according a two-method design. The existence of this type of omissions when considering misspecified models can result in unacceptable values for all the examined fit measures, especially in small samples.