Quality quandaries: On the application of different ranked set sampling schemes

Sampling methods play a vital role in all kinds of disciplines, such as medical sciences, engineering, education, and industrial processes. In order to obtain representative sampling units, we rely on the choice of an adequate sampling mechanism. A commonly used method of selection is simple random sampling (SRS). The single schemes include ranked set sampling (RSS), median-ranked set sampling (MRSS), percentile-ranked set sampling (PRSS), and extreme ranked set sampling (ERSS). On similar lines, the double schemes may be obtained in the form of double-ranked set sampling (DRSS), double median ranked set sampling (DMRSS), median double-ranked set sampling (MDRSS), percentile double-ranked set sampling (PDRSS), double percentile-ranked set sampling (DPRSS), double extreme-ranked set sampling (DERSS), and extreme double-ranked set sampling (EDRSS). Ranked set sampling schemes are quite useful in practice for monitoring process parameters. The double-ranked set schemes offer better detection abilities relative to the single ones in general. The power analysis reveals that the ranked set sampling design structures of the proposed charts are more accommodative and keep improving their performance with the increase in different quantities.