Log likelihood vs chi square differen... PreviousNext
Mplus Discussion > Multilevel Data/Complex Sample >
 Ger_Wel posted on Friday, October 20, 2017 - 10:21 am
I have some related questions, hopefully you can help me out:

a) I am trying to find out when to use chi square difference testing and when log likelihood difference testing (using the Satorra-Bentler Scaled Chi-Square). Are these interchangeable options? If not, when should I use one or the other?

b) In my case, I am testing a multilevel mediation model and I am adding predictors step-by-step. In the first steps the model is saturated, so the chi square is zero. Can I use the log likelihood difference test here?

c) In an old post
Linda (May 27th 2008),states that the log likelihood has to be multiplied by minus 2, does that still apply or is that outdated?

d) I want to use the log likelihood difference test to check if a (level 1) predictor adds a significant amount of explained variance. Is this possible this way, or is there a better option?

e) Can the number of parameters (for the log likelihood diff test) only be found by identifying the highest parameter-number in the Tech1 output, or is it also somewhere in the regular MPLUS output?

I am looking forward to your reply.
Best, Gerald.
 Bengt O. Muthen posted on Friday, October 20, 2017 - 5:32 pm
a) they are interchangeable - see


b) No.

c) -2 logL is used in connection with likelihood-ratio chi-square.

d) Good question for SEMNET.

e) That's shown at the top of the Model Results section of the output.
 Michelle Keck posted on Tuesday, March 03, 2020 - 7:34 pm
Dr. Muthen,

Do you by chance have a citation for the page on chi square difference testing?
 Bengt O. Muthen posted on Wednesday, March 04, 2020 - 9:57 am
The Satorra-Bentler Psychometrika article referred to there would be a good reference.
 Michelle Keck posted on Wednesday, March 04, 2020 - 10:12 am
Thank you!
Back to top
Add Your Message Here
Username: Posting Information:
This is a private posting area. Only registered users and moderators may post messages here.
Options: Enable HTML code in message
Automatically activate URLs in message