paper considers what we call treatment-based sampling, a type of standard stratified sampling where part of the strata are … of Hirano, Imbens, and Ridder (2003) to treatment-based sampling does not always lead to an efficient estimator. This … about the aggregate shares from the original data set. This paper also develops an optimal design of treatment-based …

paper considers what we call treatment-based sampling, a type of standard stratified sampling where part of the strata are … Hirano, Imbens, and Ridder (2003) to treatment-based sampling does not always lead to an efficient estimator. This paper … optimal design of treatment-based sampling that minimizes the semiparametric efficiency bound over the sampling designs. …