Someone asked me, “What advice do you have for weighting the results of conjoint analyses/experiments?”

I replied that a conjoint experiment is basically a regression analysis. Here we discuss survey weights and regression, and here’s the relevant bit:

So the first paper I recommend is Winship, C., and Radbill, L. (1994). Sampling weights and regression analysis. Sociological Methods and Research 23, 230–257.

I also recommend this recent paper by Brandon de la Cuesta, Naoki Egami, Kosuke Imai, Improving the External Validity of Conjoint Analysis: The Essential Role of Profile Distribution, which addresses issues of average predictive comparisons that have come up many times before in this space, for example here and here.