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 • 21 Jan 2023 • Jizhou Liu
Finally, I apply these results to studying optimal use of covariate information under covariate-adaptive randomization in large samples, and demonstrate that a specific generalized matched-pair design achieves minimum asymptotic variance for each proposed estimator.
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 • 23 Sep 2022 • Yuehao Bai, Meng Hsuan Hsieh, Jizhou Liu, Max Tabord-Meehan
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.
no code implementations • 8 Jun 2022 • Yuehao Bai, Jizhou Liu, Max Tabord-Meehan
Leveraging our previous results, we establish that our estimator achieves a lower asymptotic variance under the fully-blocked design than that under any stratified factorial design which stratifies the experimental sample into a finite number of "large" strata.
no code implementations • 29 Jan 2022 • Mingwei Ma, Jizhou Liu, Samuel Sokota, Max Kleiman-Weiner, Jakob Foerster
An unaddressed challenge in multi-agent coordination is to enable AI agents to exploit the semantic relationships between the features of actions and the features of observations.
no code implementations • 29 Sep 2021 • Mingwei Ma, Jizhou Liu, Samuel Sokota, Max Kleiman-Weiner, Jakob Nicolaus Foerster
An unaddressed challenge in zero-shot coordination is to take advantage of the semantic relationship between the features of an action and the features of observations.