Replication Variance Estimation for Two-Phase Stratified Sampling
Kim, Jae Kwang
In two-phase sampling, the second-phase sample is often a stratified sample based on the information observed in the first-phase sample. For the total of a population characteristic, either the double-expansion estimator or the reweighted expansion estimator can be used. Given a consistent first-phase replication variance estimator, we propose a consistent variance estimator that is applicable to both the double-expansion estimator and the reweighted expansion estimator. The proposed method can be extended to multiphase sampling.
This article is published as Jae Kwang Kim, Alfredo Navarro & Wayne A Fuller (2006) "Replication Variance Estimation for Two-Phase Stratified Sampling," Journal of the American Statistical Association, 101:473, 312-320, DOI:10.1198/016214505000000763. Posted with permission.