Investigating the Use of Stratified Percentile Ranked Set Sampling Method for Estimating the Population Mean

@article{AlOmari2011InvestigatingTU,
  title={Investigating the Use of Stratified Percentile Ranked Set Sampling Method for Estimating the Population Mean},
  author={Amer Ibrahim Falah Al-Omari and Ibrahim Kamarulzaman and Mahmoud Ibrahim Syam},
  journal={Proyecciones (antofagasta)},
  year={2011},
  volume={30},
  pages={351-368}
}
Stratified percentile ranked set sampling (SPRSS) method is suggested for estimating the population mean. The SPRSS is compared with the simple random sampling (SRS), stratified simple random sampling (SSRS) and stratified ranked set sampling (SRSS). It is shown that SPRSS estimator is an unbiased estimator of the population mean of symmetric distributions and is more efficient than its counterparts using SRS, SSRS and SRSS based on the same number of measured units. 
More powerful permutation test based on multistage ranked set sampling
TLDR
It has been found that this two-sample permutation test within multistage ranked set sampling (MSRSS) is more powerful than the SRS permutations test; its power increased by set size and/or number of cycles and/ or number of stages.

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