Bruno Ferman, Davi Siqueira, Vitor Possebom
arXiv 18 Jan 2026 · Econometrics
arXiv:2601.12566 · PDF · DOI · OpenAlex · Extracted main text
This paper develops a unified framework for partial identification and inference in stratified experiments with attrition, accommodating both equal and heterogeneous treatment shares across strata. For equal-share designs, we apply recent theory for finely stratified experiments to Lee bounds, yielding closed-form, design-consistent variance estimators and properly sized confidence intervals. Simulations show that the conventional formula can overstate uncertainty, while our approach delivers tighter intervals. When treatment shares differ across strata, we propose a new strategy, which combines inverse probability weighting and global trimming to construct valid bounds even when strata are small or unbalanced. We establish identification, introduce a moment estimator, and extend existing inference results to stratified designs with heterogeneous shares, covering a broad class of moment-based estimators which includes the one we formulate. We also generalize our results to designs in which strata are defined solely by observed labels.
appendix boundary found by appendix_command · 25% of the source is main text. Read the extracted text to check this.
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 | Lee, D. S (2009) Training, wages, and sample selection: Estimating sharp bounds on treatment effects | 0.909 | 16 | 5 | 75% |
| 2 | Bai, Y., J. Liu, A. M. Shaikh, and M. Tabord-Meehan (2025) On the efficiency of finely stratified experiments | 0.810 | 32 | 8 | 53% |
| 3 | Newey, W. K. and D. McFadden (1994) Large sample estimation and hypothesis testing | 0.644 | 5 | 2 | 40% |
| 4 | Bai, Y., J. Liu, and M. Tabord-Meehan (2024) Inference for matched tuples and fully blocked factorial designs | 0.585 | 4 | 3 | 25% |
| 5 | Andrews, D. W (1992) Generic uniform convergence | 0.511 | 4 | 2 | 25% |
| 6 | Bai, Y., J. P. Romano, and A. M. Shaikh (2022) Inference in experiments with matched pairs | 0.511 | 2 | 2 | 50% |
| 7 | Hájek, J (1960) Limiting distributions in simple random sampling from a finite population | 0.511 | 2 | 2 | 50% |
| 8 | Bruhn, M. and D. McKenzie (2009) In pursuit of balance: Randomization in practice in development field experiments | 0.511 | 2 | 1 | 100% |
| 9 | Angrist, J., E. Bettinger, and M. Kremer (2006) Long-term educational consequences of secondary school vouchers: Evidence from administrative records in colombia | 0.405 | 1 | 1 | 100% |
| 10 | Attanasio, O., A. Kugler, and C. Meghir (2011) Subsidizing vocational training for disadvantaged youth in colombia: Evidence from a randomized trial | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 24 scored citations.