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Revisiting the Analysis of Matched-Pair and Stratified Experiments in the Presence of Attrition

Yuehao Bai, Meng Hsuan Hsieh, Jizhou Liu, Max Tabord-Meehan

arXiv 23 Sep 2022 · Econometrics · publishedJournal of Applied Econometrics (2023) · 1 citations (OpenAlex)

arXiv:2209.11840 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In this paper we revisit some common recommendations regarding the analysis of matched-pair and stratified experimental designs in the presence of attrition. Our main objective is to clarify a number of well-known claims about the practice of dropping pairs with an attrited unit when analyzing matched-pair designs. Contradictory advice appears in the literature about whether or not dropping pairs is beneficial or harmful, and stratifying into larger groups has been recommended as a resolution to the issue. To address these claims, we derive the estimands obtained from the difference-in-means estimator in a matched-pair design both when the observations from pairs with an attrited unit are retained and when they are dropped. We find limited evidence to support the claims that dropping pairs helps recover the average treatment effect, but we find that it may potentially help in recovering a convex weighted average of conditional average treatment effects. We report similar findings for stratified designs when studying the estimands obtained from a regression of outcomes on treatment with and without strata fixed effects.

Citation extraction

39
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87
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distinct cited
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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
1Bruhn, M. and D. McKenzie (2009) In Pursuit of Balance: Randomization in Practice in Development Field Experiments0.9285380%
2Groh, M. and D. McKenzie (2016) Macroinsurance for microenterprises: A randomized experiment in post-revolution Egypt0.874102100%
3Glennerster, R. and K. Takavarasha (2013) Running Randomized Evaluations: A Practical Guide0.8434375%
4Bugni, F. A., I. A. Canay, and A. M. Shaikh (2018) Inference Under Covariate-Adaptive Randomization0.8435360%
5Bai, Y., J. P. Romano, and A. M. Shaikh (2021) Inference in Experiments with Matched Pairs* self0.76911345%
6King, G., E. Gakidou, N. Ravishankar, R. T. Moore, J. Lakin, M. Varg… (2007) A “politically robust” experimental design for public policy evaluation, with application to the Mexican universal health insura…0.7373367%
7Attanasio, O., S. Cattan, E. Fitzsimons, C. Meghir, and M. Rubio-Cod… (2020) Estimating the production function for human capital: results from a randomized controlled trial in Colombia0.6443267%
8Casaburi, L. and T. Reed (2022) Using individual-level randomized treatment to learn about market structure0.6443267%
9Hjort, J., D. Moreira, G. Rao, and J. F. Santini (2021) How research affects policy: Experimental evidence from 2,150 brazilian municipalities0.6443267%
10Little, R. J. and D. B. Rubin (2019) Statistical analysis with missing data0.64422100%

Showing the top 10 of 39 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Inference for Two-stage Experiments under Covariate-Adaptive Randomization0.40511
2A Primer on the Analysis of Randomized Experiments and a Survey of some Recent Advances0.40511
3Randomization Inference with Sample Attrition0.40511