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Treatment Effects with Multidimensional Unobserved Heterogeneity: Identification of the Marginal Treatment Effect

Toshiki Tsuda

arXiv 23 Sep 2022 · Econometrics

arXiv:2209.11444 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper establishes sufficient conditions for the identification of the marginal treatment effects with multivalued treatments. Our model is based on a multinomial choice model with utility maximization. Our MTE generalizes the MTE defined in Heckman and Vytlacil (2005) in binary treatment models. As in the binary case, we can interpret the MTE as the treatment effect for persons who are indifferent between two treatments at a particular level. Our MTE enables one to obtain the treatment effects of those with specific preference orders over the choice set. Further, our results can identify other parameters such as the marginal distribution of potential outcomes.

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19
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Heckman, J. J., Urzua, S., and Vytlacil, E (2008) Instrumental Variables in Models with Multiple Outcomes: the General Unordered Case1.00084100%
2Heckman, J. J. and Vytlacil, E (2005) Structural Equations, Treatment Effects, and Econometric Policy Evaluation1.00074100%
3Heckman, J. J. and Vytlacil, E. J (2007) Chapter 71 Econometric Evaluation of Social Programs, Part II: Using the Marginal Treatment Effect to Organize Alternative Econo…1.00074100%
4Lee, S. and Salanié, B (2018) Identifying Effects of Multivalued Treatments0.95917588%
5Mountjoy, J (2022) Community colleges and upward mobility0.87452100%
6Dahl, G. B (2002) Mobility and the return to education: Testing a Roy model with multiple markets0.64422100%
7Heckman, J. J., Urzua, S., and Vytlacil, E (2006) Understanding Instrumental Variables in Models with Essential Heterogeneity0.64422100%
8Kirkeboen, L. J., Leuven, E., and Mogstad, M (2016) Field of study, earnings, and self-selection0.64422100%
9Kline, P. and Walters, C. R (2016) Evaluating public programs with close substitutes: The case of Head Start0.64422100%
10McFadden, D (1974) Conditional logit analysis of qualitative choice behavior0.64422100%

Showing the top 10 of 19 scored citations.