RSZ: Stata module to draw a stratified simple random sample, a systematic sample, or a randomly split zones sample, with probabilities proportional to size

This program was written primarily for drawing a sample by the randomly split zones (rsz) for samples of size one sampling method as proposed in Singh and Ye (Proc. ASA, SRM, 2016). It also provides the option to draw a sample by simple random (srs) sampling method or the systematic (sys) sampling method. Under the rsz sampling method, explicit strata will be further stratified into deep strata (or zones) by an additional stratifying variable. Also, the program will split zones into random groups from each of which one and only case will be seleted into the initial sample, although multiple cases from a random group can be selected as replicates if specified. By default hierarchical serpentine sorting is assumed under sys or rsz sampling. If the measure of size (MOS) is provided, it draws the sample with probabilities proportional to size (PPS).