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 carla hard posted on Tuesday, November 20, 2012 - 5:09 am
dear dr. muthén,
when doing likelihood-based (!) difference testing/strictly positive difference testing using MLR as described on your webpage/webnotes - how do I name it correctly? as far as I know, satorra and bentler developed the method for difference testing/strictly positive difference testing using correction factors, but with MLR the correction factors of yuan & bentler are provided- is this right? what is the difference between the satorra-bentler and the yuan-bentler correction factors? and what is the correct name especially when doing it likelihood-based?
thanks in advance
carla
 Linda K. Muthen posted on Tuesday, November 20, 2012 - 11:58 am
See the following paper:

Satorra, A., & Bentler, P.M. (2010). Ensuring positiveness of the scaled difference chi-square test statistic. Psychometrika, 75, 243-248.
 Bengt O. Muthen posted on Tuesday, November 20, 2012 - 12:55 pm
See also the more applied Bryant-Satorra article that appeared in the SEM journal recently:

http://www.statmodel.com/download/BryantSatorraInPressSEM2011.pdf
 carla hard posted on Wednesday, November 21, 2012 - 4:22 am
Thank you for the quick answer. I´m just wondering if the correction factors provided by MPlus when using the MLR-Method are the same like the correction factors used by Satorra and Bentler in their articles.
 Linda K. Muthen posted on Wednesday, November 21, 2012 - 3:43 pm
Yes.
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