On the population median estimation using quartile double ranked set sampling

Abstract

In this article, quartile double ranked set sampling (QDRSS) method is considered for estimating the population median. The sample median based on QDRSS is suggested as an estimator of the population median. The QDRSS is compared with the simple random sampling (SRS), ranked set sampling (RSS) and quartile ranked set sampling (QRSS) methods. A real data set is used for illustration. It turns out that, for the symmetric distributions considered in this study, the QDRSS estimators are unbiased of the population median and are more than their counterparts using SRS, RSS and QRSS based on the same sample number of measured units. For asymmetric distributions, QDRSS is biased and it is more efficient than SRS, QRSS for all sample size m while it is more efficient than RSS if m>4 .