Difference between BY and ON PreviousNext
Mplus Discussion > Structural Equation Modeling >
 Lu Gram posted on Saturday, April 02, 2016 - 2:49 am
Hi there,

If the latent variable and all observed variables are continuous is there any difference in the underlying mathematical model between the models:

y ON factor;
i1 i2 i3 i4 i5 BY factor;

and the model:

y i1 i2 i3 i4 i5 BY factor;

In either case it reduces to an overall multivariate normal model no?

The reason I am asking is because in Stata, there is no difference between BY and ON as you only specify the probability distribution of a link (normal, binomial, etc.), not whether it is a structural or a measurement model link. But maybe Mplus performs some kind of rotation?

Best wishes,

 Bengt O. Muthen posted on Saturday, April 02, 2016 - 6:18 am
In Mplus you would say:

y ON factor;

factor BY i1-i5;


factor BY y i1-i5;

These two statements produce the same model.
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