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Mar 10, 2020 at 11:53 comment added Ed Rigdon I beg pardon--I answered a completely different question than the one which was asked.
Mar 10, 2020 at 11:52 history edited Ed Rigdon CC BY-SA 4.0
Completely different answer, hopefully closer to the mark.
Mar 10, 2020 at 3:23 comment added Denis Cousineau The explanation is not that clear. The correct dummy coding is to have 1s in the first column for the observations from the first group; 1s in the second column for the observations from the second group, and 0s in both columns for observations from the remaining group. Also it is necessary to set in the SEM model variances parameters on all three columns in addition to correlations from columns 1 and 2 to column 3.
Mar 9, 2020 at 20:19 history answered Ed Rigdon CC BY-SA 4.0