Now I'm having trouble understanding how to obtain the variance for the linear predictor (or fixed part) for Y as well as the intercept variance (both referenced on p. 225) from the MPlus output, which are needed to calculate their R2 in equation 14.21. Do you have any suggestions?
Mplus calculates R-2 in line with this reference. You should find this when requesting standardized solution. As the reference says, the residual variance on level 1 is 3.29 for logit and 1 for probit.
Jorge Walter posted on Wednesday, August 28, 2013 - 10:21 am
Thanks for your answer. The reason I was trying to calculate this myself is that, in a different multilevel regression with a 1-7 Likert-type dependent variable, the Level-1 R2 I got from MPlus is substantially higher (.61 compared to .36) than the one I got from manually calculating the Level-1 R2 = (unrestricted level-1 error term – restricted level-1 error term) / unrestricted level-1 error term, with the unrestricted model containing only the dependent variable and level-1 random intercept, and the restricted model containing all level-1 and level-2 variables (Kreft and De Leeuw 1998).
Do you have any thoughts on why this discrepancy might exist?
Unfortunately, the formula above does not seem work for a categorical DV; when I try to run the unrestricted model, I get the following error message: "Variances for categorical outcomes are not allowed on the within level."