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Nov 3, 2016 at 1:49 comment added Aleksandr Blekh @AdamO: Frankly, I'm not too sure at this time. Sorry, I have significantly deviated from SEM since March 2014. :-)
Nov 2, 2016 at 19:40 comment added AdamO To say that this estimation procedure does not require normally distributed errors would make sense when modeling categorical/ordinal outcomes as continuous variables, which would make sense if the sole interest was estimating a mean difference. If data are binary, their mean is a proportion and the resulting model estimates proportion differences. However, other probability models do not require normal error assumptions, like a logit or quasilogit model. Are you saying that SEM will not use a mean variance relationship to improve estimation with categorical outcomes?
Mar 18, 2014 at 23:16 comment added Aleksandr Blekh You may also find the following paper helpful: "Structural equation modeling in practice: A review and recommended two-step approach" (Anderson & Gerbin, 1988). While it doesn't refer to WLSMV, it contains discussion on various estimators.
Mar 18, 2014 at 23:07 vote accept Xander
Mar 18, 2014 at 23:07 history edited Aleksandr Blekh CC BY-SA 3.0
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Mar 18, 2014 at 23:01 history answered Aleksandr Blekh CC BY-SA 3.0