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Regression vs. correlation (ON vs. WI...
Structural Equation Modeling
posted on Wednesday, July 27, 2016 - 9:49 pm
Why do the following two models (random example) produce different results for the relationship of Y and X?
Y WITH X;
Y WITH Z;
X WITH Z;
Y ON X;
Y ON Z;
X WITH Z;
In case it matters, I'm using type=complex; in order to control for stratification. I didn't see any obvious differences for how ON vs. WITH are computed in the UG.
Thank you very much.
Bengt O. Muthen
posted on Thursday, July 28, 2016 - 9:09 am
Model 2 regresses y on 2 covariates x and z. This means that the correlation (assuming unit variances for all variables) between y and x is not the same as the regression coefficient for y on x.
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