Model fit indices with count outcome PreviousNext
Mplus Discussion > Structural Equation Modeling >
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 Xiang Liu posted on Friday, May 06, 2016 - 7:39 am
Hi, I am modeling count outcome using a negative binomial regression on one latent factor and several observed covariates. It seems that besides the AIC and BIC, Mplus doesn't provide any absolute mode fit index. Any suggestions? Thanks!
 Linda K. Muthen posted on Friday, May 06, 2016 - 9:33 am
Chi-square and related fit statistics are not available for this model. In this case, nested models can be compared using -2 times the loglikelihood difference which is distributed as chi-square. Non-nested models with the same set of dependent variables can be compared using BIC.
 BL posted on Wednesday, September 18, 2019 - 1:36 pm
I've estimated a model with 1 predictor, 3 mediators, and 2 latent outcome variables (Y1, Y2); Y2 is informed by 4 manifest count variables (nb). I thought chi-square fit would not be generated because the unit of the latent outcome variable is a count, but several chi-square indices were calculated. Are these valid for describing absolute fit? If so, can you clarify about which is most appropriate to report?


Chi-Square Test of Model Fit for the Count Outcomes**

Pearson Chi-Square
Value 2547.717
Degrees of Freedom 7973
P-Value 1.0000

Likelihood Ratio Chi-Square
Value 1029.021
Degrees of Freedom 7973
P-Value 1.0000


Chi-Square Test for MCAR under the Unrestricted Latent Class Indicator Model
for the Count Outcomes

Pearson Chi-Square
Value 25.589
Degrees of Freedom 799
P-Value 1.0000

Likelihood Ratio Chi-Square
Value 6.937
Degrees of Freedom 799
P-Value 1.0000
 Bengt O. Muthen posted on Wednesday, September 18, 2019 - 3:43 pm
No, these are not overall tests of model fit. Such a test has not been developed.
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