by Michiel Bliemer » Wed Apr 29, 2009 10:41 pm
Dear Doug,
I agree with Andrew that it should be no problem to optimize your design even for larger numbers of alternatives and attributes for the MNL model. So as long as ;eff = (mnl,d) or something is your efficiency measure, that should be fine. Once you retrieve your MNL optimized design, you can evaluate it as if you were estimating a mixed logit model. If it still runs slow, remove anything referring to random draws or random parameters in your model to make it completely MNL, just to make sure there is no simulation involved.
An orthogonal design for such a large number of alternatives and attributes is most likely very hard to find indeed. But of course you can always start with an efficient design in which you just set all priors equal to zero (no information). This is in some ways similar to determining a (near) orthogonal design, although you can keep the number of choice situations limited.
With respect to your question on constants, yes you have to specify the priors for the constants, even if you do not care about their standard errors in estimation. The constants influence the values of the utility functions, and therefore also the logit probabilities, which again influence the asymptotic standard errors for all other parameters. So the priors of the constants could potentially have a large influence on the efficiency of your design. In case you have no information on them, indeed you can set them to zero. Or use some Bayesian priors to take into account the uncertainty about the prior, although keep the number of Bayesian priors limited in order to avoid long computations times.
By the way, may I suggest starting a new thread on the forum for different topics (not relating to your initial question on "large experimental designs"? Then other users can probably find answers to similar questions more quickly.
Feel free to popping up frequently on here, hope we can be of any help.
---Michiel