We have a weighted sample, weighted as follows: The sampling was carried out in four strata, with sampling probabilities .37, .48, .70 and 0.89, respectively. We want to carry out a nonlinear regression analysis. In SPSS ans Stata, this seems to be possible only for nonweighted samples.
1. Is nonlinear regression possible in Mplus?
2. If yes, can this be done with our weighted sample?
The reference to UG ex 3.18 and also "Mediation" seem to relate to the standard parametrization of interaction, which is not difficult. Our problem is statistical inference for C in the reparametrized model. This requires use of the nonlinear regression equation we stated first:
Thanks to Linda Muthen for pointing out in an email to me that the results provided in the Mplus output are correct. I had mistakenly computed an approximate c.i. as estimate +- 2SE, while Mplus provides a c.i. using estimate +-1.96SE.