Published on *OpenMx* (http://openmx.psyc.virginia.edu)

By *Math Wolf*

Created *07/19/2010 - 06:35*

Mon, 07/19/2010 - 06:35 — Math Wolf [1]

Hi all,

I'm currently working on a cross-lagged mixed effects model of the following form:

Here, the "i" refer to random subjects and therefore we have subject-specific dynamic effects.

This model can be fitted with linear mixed modeling software, but this is only possible when Y and Z are measured.

In practice however, Y and Z may be latent constructs, measured by several indicators. (in my example, Y and Z are depression and self-esteem, each measured by several strongly correlated indicators.)

As far as I know, currently no methods exist to combine the dynamic random effects and the latent constructs (at least not in an easy way / within the frequentist framework).

Therefore, my question is: does any of you have an idea if this is possible in any way and, if yes, how it could be implemented.

The easier problem can be rephrased as: how can Y_i = b_i * X_i with X and Y latent and b_i subject specific be modeled.

At the workshop of prof. Boker at the IMPS conference, this question was also raised (in a less clear way I must admit) and subject-specific moderators were mentioned as a possible way to do this.

Regards,

Bart

**Links:**

[1] http://openmx.psyc.virginia.edu/users/math-wolf

[2] http://photobucket.com

[3] http://openmx.psyc.virginia.edu/thread/2174

[4] http://openmx.psyc.virginia.edu/thread/125

[5] http://openmx.psyc.virginia.edu/forums/opensem-forums/mixed-effects-and-nested-models