Log likelihood vs chi square differen... PreviousNext
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 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
http://www.statmodel.com/discussion/messages/12/27.html#POST18651
Linda (May 27th 2008),states that the log likelihood has to be multiplied by minus 2, does that still apply or is that outdated?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

http://www.statmodel.com/chidiff.shtml

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.
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