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Dear Drs. Muthén, is it possible in MPlus to obtain the SRMR fit index for a measurement model with ordinal categorical variables and the WLSM estimator? If not, is it at all possible to obtain or calculate the SRMR for ordinal data? Thanks! 


I believe we do SRMR for ordinal variables. It is not done for models with thresholds or covariates however. The default is to include thresholds. You can add MODEL = NOMEANSTRUCTURE to the ANALYSIS command to avoid having thresholds in the model. 


HI: How to calculate the SRMR with the mplus program? 


It is already computed for you and you should be able to locate it in the output, but make sure you use Mplus 8.1. http://www.statmodel.com/download/SRMR2.pdf 


Thanks, I updated the program. I found it. 

Ryan Veal posted on Sunday, October 27, 2019  8:15 pm



Hello Professor Muthen, I ran a series of EFA and ESEM for ordered categorical variables, and as expected, had identical factor loadings and parameters, as well as identical model fit indices. The one exception was SRMR, which had values of a slightly lower magnitude for the ESEM models. Can you propose a reason why this would be the SRMR values would be lower in the ESEM compared to the EFA models? Thanks, Ryan 


Take a look at http://www.statmodel.com/download/SRMR2.pdf and compare formula (1) and (4). This is for the continuous case but for the categorical, see Section 2.7, is similar. The denominator is different. In EFA there is no mean structure. In ESEM, you can have mean structure, even though you didn't. Since in ESEM mean structure is included in the SRMR definition, and is fitted perfectly you get lower value (same S, bigger denominator). 

Ryan Veal posted on Monday, October 28, 2019  3:21 pm



Hello Dr Asparouhov, Excellent, thank you for clarifying. Cheers, Ryan 

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