no code implementations • 27 Jul 2023 • Yuehao Bai, Jizhou Liu, Azeem M. Shaikh, Max Tabord-Meehan
By a "finely stratified" design, we mean experiments in which units are divided into groups of a fixed size and a proportion within each group is assigned to treatment uniformly at random so that it respects the restriction on the marginal probability of treatment assignment.
no code implementations • 24 Jul 2023 • Yuehao Bai, Hongchang Guo, Azeem M. Shaikh, Max Tabord-Meehan
To this end, we derive the limiting behavior of a two-stage least squares estimator of the local average treatment effect which includes both the additional covariates in addition to pair fixed effects, and show that the limiting variance is always less than or equal to that of the Wald estimator.
no code implementations • 9 Feb 2023 • Yuehao Bai, Liang Jiang, Joseph P. Romano, Azeem M. Shaikh, Yichong Zhang
This paper studies inference on the average treatment effect in experiments in which treatment status is determined according to "matched pairs" and it is additionally desired to adjust for observed, baseline covariates to gain further precision.
no code implementations • 27 Nov 2022 • Yuehao Bai, Jizhou Liu, Azeem M. Shaikh, Max Tabord-Meehan
Here, by a cluster randomized experiment, we mean one in which treatment is assigned at the level of the cluster; by a "matched pairs'' design we mean that a sample of clusters is paired according to baseline, cluster-level covariates and, within each pair, one cluster is selected at random for treatment.
no code implementations • 17 Feb 2021 • Yong Cai, Ivan A. Canay, Deborah Kim, Azeem M. Shaikh
This paper provides a user's guide to the general theory of approximate randomization tests developed in Canay, Romano, and Shaikh (2017) when specialized to linear regressions with clustered data.
no code implementations • 18 Sep 2020 • Zheng Fang, Andres Santos, Azeem M. Shaikh, Alexander Torgovitsky
This paper considers the problem of testing whether there exists a non-negative solution to a possibly under-determined system of linear equations with known coefficients.