On the implementation of stratified two-stage simple random sampling without replacement, with possible collapsed strata.

ABSTRACT: Two-stage stratified sampling is a complex design that involves nested sampling units and stratification. This complexity increases when the strata have too few sampled units for variance estimation, necessitating the use of collapsed strata, where multiple strata are combined to ensure an adequate sample size. When collapsing strata, two cases can be distinguished depending on whether a size variable associated with the variable of interest is available at the stratum level.•We present computer-implementable formulas for total, mean, and ratio estimators, along with their corresponding sampling variance estimators, for stratified two-stage simple random sampling without replacement, and we provide ready-to-use algorithms.•We introduce two methods for grouping strata: (1) a determin

SUBMITTER: Aubry P 

PROVIDER: S-EPMC11404174 | biostudies-literature | 2024 Dec

REPOSITORIES: biostudies-literature