Is there a short example how to interpret StdYX of a given parameter? My explanation for Std is like that:
MPlus Y ON X + Z;
Output Std (a): a/Var(Y) Std (b): b/Var(Y)
So Std is just parameter/Var(latent variable).
But I have no idea what I should devide by the estimates to get StdYX. The user's guide just gives "[...] These coefficients are standardized USING the variances of the cont. latent variables as well as the variances of the background AND/OR outcome variables."
1) What does USING mean? 2) What does AND/OR mean? 3) Is there anything special about StdYX in multilevel-regression analysis?
Thank you for a short explanation and an equation how to compute StdYX from parameter estimates.
bmuthen posted on Sunday, January 22, 2006 - 3:56 pm
In regression of y on x you simply create Stdyx from the raw slope b as usual,
Stdyx = b * SD(x)/SD(y)
Then the Stdyx value has the regular interpretation: how much of a y SD the y variable changes for a 1 SD change in x.
The text you referred to tries to cover more general cases than standard regression, including latent variables.
So far I understand it. But I'm interested in regressions containing two or more observed variables another (2-level) variable is regressed on. And since it's a dependent variable on two levels it's getting a bit more complicated I guess ...
The model I've got now is the following:
WITHIN ARE X1 X2 X3 X4; BETWEEN ARE Z1 Z2 Z3;
WITHIN Y ON X1 + X2 + X3 + X4;
BETWEEN Y ON Z1 + Z2 + Z3;
How is, for instance, StdYX for variable X1 computed and interpreted? Sorry for being impatient, will I get answers on the questions 1) (USING = sum of variances; product of SDs?), 2) and 3)?
Thank you for your work (even on sundays).
bmuthen posted on Monday, January 23, 2006 - 1:42 am
StdYX for X1 in your example uses as the SD(x) and SD(y) of my example, the estimated within-level SDs of x1 and y. Hope that helps.