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 Eric Deemer posted on Saturday, April 06, 2013 - 7:44 am
I'm doing a bifactor EFA using the ESEM framework and I specified the following rotation method:

ANALYSIS: rotation=bi-geomin (orthogonal);

My understanding is that this reflects an oblique rotation with a Schmid-Leiman orthogonalization. Is this correct?

 Bengt O. Muthen posted on Saturday, April 06, 2013 - 12:23 pm
No. The orthogonal setting means that the specific (group) factors are uncorrelated. The advantage of bi-factor EFA over Schmid-Leiman is discussed in Section 5 of the Jennrich $ Bentler (2011) article referred to in the Mplus Version 7 UG.
 Eric Deemer posted on Saturday, April 06, 2013 - 1:12 pm
Okay, so the rotation is oblique between general and specific factors, but orthogonal across specific factors only?

 Bengt O. Muthen posted on Saturday, April 06, 2013 - 1:31 pm
Right. But typically, there is little correlation between the general factor and the specific factors - see the two J & B refs.

And, you can request (oblique) to get the specifics to correlate.
 Eric Deemer posted on Saturday, April 06, 2013 - 1:50 pm
Got it. Thanks so much, Bengt!

 Jonathan Mohr posted on Wednesday, October 23, 2019 - 5:57 am
I'm conducting an exploratory bifactor analysis. It looks like Mplus implements the Jennrich/Bentler approach. To handle potential problems with local minima, I want to follow the guidance of Mansolf and Reise (2017). They recommend at least 1,000 random starting values and examining at least the best 10 solutions.

I tried doing this in Mplus using the RSTARTS command ("RSTARTS 1000 10"), but the output included only a single solution. Is this because starting values all converged to the same solution? Or am I missing where I should be looking for the multiple solutions?

 Tihomir Asparouhov posted on Wednesday, October 23, 2019 - 5:17 pm
There is a section in the output called
"Rotation function values at local minima, and start numbers:"
To get multiple solutions you must have different numbers in the first column. If all the number are the same, the solutions are the same and we don't print these multiple times.
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