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  • Explaining Experimental data with EUT or PT: Using Structural Equation modeling or Fixed Mixture model?

    Dear All,
    I will try to be as clear as possible.

    Some background:
    I am doing experiments in economics and I have a huge dataset of experiments mirroring real life tax declaration. Participants in the lab face some audit probability, fine size etc. and decide how much income they want to declare.

    There are multiple structural models that we could estimate on this dataset: the Expected Utility model (people are rational) and the Prospect Theory model (people overweight low probabilities of being audited). I would like to do a horse race and check which model better explain my data.

    My request:
    I know that it is something that has been done for example by Bruhin et al. (2010) and Harrisson & Rutström (2009) on using data from risk experiments.

    I have heard that there might be ways using structural equation modeling or fixed mixture models. However, I do not know anything about how to implement that, and I do not know where/how to start.

    Would someone have some clues about what to do?

    Note that I am not extremely knowledgeable in stata, please be pedagogue

    Thank you very much in advance!

    Best,
    Antoine


    Biblio:
    Bruhin, A., Fehr‐Duda, H., & Epper, T. (2010). Risk and rationality: Uncovering heterogeneity in probability distortion. Econometrica, 78(4), 1375-1412.

    Harrison, G. W., & Rutström, E. E. (2009). Expected utility theory and prospect theory: One wedding and a decent funeral. Experimental economics, 12(2), 133.

  • #2
    Hi Antoine:

    In simple there is no simple solution. "Structural" in structural equation models is not used in the same sense as "structural" in structural estimation of risk preferences. While Stata has a command for estimating finite mixture models, those models are linear index models and fundamentally different from non-linear index models in the two papers that you have referenced.

    If you'd like to estimate structural models of decision making under risk in Stata, you must know enough about Stata to program your own ML programs. Of course, if you have never used Stata before, there is no particular reason why you should learn to program your estimation routines in Stata instead of other packages.

    If you'd like to use Stata for what you intend to do, I would like to recommend the following two items as essential readings:

    (1) "Maximum Likelihood Estimation with Stata" by Gould, Pitblado and Poi: https://www.stata.com/bookstore/maxi...imation-stata/

    (2) Either "Risk Aversion in the Laboratory" by Harrison and Rutstrom (https://www.emerald.com/insight/cont...03-3/full/html) or "Experimetrics" by Peter Moffatt (https://www.macmillanihe.com/page/de...=9780230250239). Both references describe structural estimation of risk preferences with the aid of Stata code examples.

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    • #3
      Thank you very much Hong ll Yoo !

      I have just found this WP: "Maximum Likelihood Estimation of Utility Functions Using Stata" by Harrison, do you think it is better suited than "Risk Aversion in the Laboratory" ?

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      • #4
        Antoine Malezieux: Yes that looks like a good reference too. The most important thing, I think, is to study Gould et al. closely.

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