TWOLEVEL RANDOM slope model differenc... PreviousNext
Mplus Discussion > Multilevel Data/Complex Sample >
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 Andy Luse posted on Wednesday, October 25, 2017 - 7:58 pm
I am comparing a twolevel model without random slopes to one with random slopes. I'm using the Satorra & Bentler method linked off the homepage to do LL difference testing since I am using MLR. Based on the formulas, I use the LL and correction values for H0 in the first model and the LL and correction values for H1 in the second model. The problem is that I only get LL and correction values for H0 in the random slope model. How would I compare these two?
 Tihomir Asparouhov posted on Thursday, October 26, 2017 - 5:23 pm
You have to be careful when using LL to test zero variance of a random effect, see
http://amstat.tandfonline.com/doi/abs/10.1080/01621459.1987.10478472#.WfJ5YmhSzIU
There is extensive amount of literature on that topic and some is Bayesian, see
https://www.researchgate.net/publication/232064621_Bayesian_tests_of_measurement_invariance
and tech16 in the Mplus user's guide

Our simple rule of thumb is that if the T-test value > 5 - it is safe to conclude significance. You can also use BIC as an alternative.

We always give the correction number with the MLR estimator - add estimator=mlr; in the analysis command of the input. If you still don't get a correction number send your data and input to support@statmodel.com
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