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Is there a short example how to interpret StdYX of a given parameter? My explanation for Std is like that: Model: Y=aX+bZ+c 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. Florian Fiedler. |
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bmuthen posted on Sunday, January 22, 2006 - 9:56 am
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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. |
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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). Florian Fiedler. |
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bmuthen posted on Sunday, January 22, 2006 - 7:42 pm
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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. |
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1) What does USING mean? Multiplying or dividing. 2) What does AND/OR mean? Observed variable variance when no latent variables in the model - both observed and latent variable variances when latent variables are in the model. 3) Is there anything special about StdYX in multilevel-regression analysis? No. |
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Fred Smyth posted on Sunday, February 05, 2006 - 12:02 pm
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How can I constrain two parameter estimates to be equal, but with opposite sign? Thanks, Fred Smyth |
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Use the MODEL CONSTRAINT command and say: p1 = -p2; |
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