Chi-sq vs LL conclusions in MLR diff ... PreviousNext
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 Thomas Bayley posted on Thursday, August 27, 2020 - 8:46 am
I am currently comparing some nested models using the MLR difference testing methods outlined on the MPlus website, but have been getting substantively different conclusions on whether there is a difference in model fit when using the two approaches. Here's a summary to demonstrate what I mean:

Comparison model:
Chi-square: 4316.384
MLR scaling correction: 1.2008
df: 985

Log-Likelihood L0: -312276.28
MLR scaling correction: 1.5509
free parameters:573

Nested Model:
Chi-square: 5008.031
MLR scaling correction:
df: 1192

Log-likelihood: -312687.487
MLR scaling correction: 1.7539
free parameters: 366
---
TrD (chi-square) = 690 on 207 df (significant)
TrD LL = 2.655 on 207 df (not-significant)

I have a large sample size, so could this, or something else, be responsible for the differing conclusions?

My previous understanding was that the two methods were inter-changeable so are there any references that examine situations in which their performance differs?
 Bengt O. Muthen posted on Saturday, August 29, 2020 - 4:31 pm
Check your computations again and if you don't get it right, post your steps.
 Thomas Bayley posted on Tuesday, September 01, 2020 - 2:13 am
Thanks Bengt,

I checked my workings again, and found I had made a mistake in the formula on my excel file in the Log-likelihood calculation when calculating cd. Now they produce almost identical values, so problem solved.

Not sure how I didn't spot that in my checks!

Thanks again
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