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Estimating Heterogeneous Reactions to Experimental Treatments

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  • Christoph Engel

    (Max Planck Institute for Research on Collective Goods)

Abstract

Frequently in experiments there is not only variance in the reaction of participants to treatment. The heterogeneity is patterned: discernible types of participants react differently. In principle, a finite mixture model is well suited to simultaneously estimate the probability that a given participant belongs to a certain type, and the reaction of this type to treatment. Yet often, finite mixture models need more data than the experiment provides. The approach requires ex ante knowledge about the number of types. Finite mixture models are hard to estimate for panel data, which is what experiments often generate. For repeated experiments, this paper offers a simple two-step alternative that is much less data hungry, that allows to find the number of types in the data, and that allows for the estimation of panel data models. It combines machine learning methods with classic frequentist statistics.

Suggested Citation

  • Christoph Engel, 2019. "Estimating Heterogeneous Reactions to Experimental Treatments," Discussion Paper Series of the Max Planck Institute for Behavioral Economics 2019_01, Max Planck Institute for Behavioral Economics.
    • Handle: RePEc:mpg:wpaper:2019_01
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    Cited by:

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    2. Orland, Andreas & Rostam-Afschar, Davud, 2021. "Flexible work arrangements and precautionary behavior: Theory and experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 442-481.

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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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