arXiv 2 May 2022 · Econometrics
arXiv:2205.01246 · PDF · DOI · OpenAlex · Extracted main text
We are interested in the distribution of treatment effects for an experiment where units are randomized to a treatment but outcomes are measured for pairs of units. For example, we might measure risk sharing links between households enrolled in a microfinance program, employment relationships between workers and firms exposed to a trade shock, or bids from bidders to items assigned to an auction format. Such a double randomized experimental design may be appropriate when there are social interactions, market externalities, or other spillovers across units assigned to the same treatment. Or it may describe a natural or quasi experiment given to the researcher. In this paper, we propose a new empirical strategy that compares the eigenvalues of the outcome matrices associated with each treatment. Our proposal is based on a new matrix analog of the Fr\'echet-Hoeffding bounds that play a key role in the standard theory. We first use this result to bound the distribution of treatment effects. We then propose a new matrix analog of quantile treatment effects that is given by a difference in the eigenvalues. We call this analog spectral treatment effects.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Whitt (1976) Bivariate distributions with given marginals | 1.000 | 12 | 3 | 100% |
| 2 | Bajari, Burdick, Imbens, Masoero, McQueen, Richardson and Rosen (2021) Multiple Randomization Designs | 1.000 | 9 | 3 | 100% |
| 3 | Finke, Burkard and Rendl (1987) Quadratic assignment problems | 0.928 | 4 | 3 | 100% |
| 4 | Lovász (2012) | 0.874 | 6 | 3 | 67% |
| 5 | Comola and Prina (2021) Treatment effect accounting for network changes | 0.874 | 5 | 2 | 100% |
| 6 | Athey, Levin and Seira (2011) Comparing open and sealed bid auctions: Evidence from timber auctions | 0.737 | 3 | 2 | 100% |
| 7 | Cela (2013) | 0.737 | 3 | 2 | 100% |
| 8 | Fréchet (1951) Sur les tableaux de corrélation dont les marges sont données | 0.737 | 3 | 2 | 100% |
| 9 | Heckman, Smith and Clements (1997) Making the most out of programme evaluations and social experiments: Accounting for heterogeneity in programme impacts | 0.737 | 3 | 2 | 100% |
| 10 | Hoeffding (1940) Masstabinvariante korrelationstheorie | 0.737 | 3 | 2 | 100% |
Showing the top 10 of 42 scored citations.