Investigating the use of quartile ranked set samples for estimating the population mean

The ranked sampling method (ranked set sampling, RSS) as suggested by McIntyre [Australian Journal of Agricultural Research 3 (1952) 385] may be modified to come up with new sampling method called quartile ranked set sampling (QRSS) method. The newly suggested sampling method QRSS is compare to the simple random sampling (SRS), RSS and median ranked set sampling (MRSS) methods. It turns out that QRSS is more efficient than its counterpart SRS method for the distributions considered in this study. Also, it is more efficient than the RSS method for most of the probability distributions considered in this study. Finally it is more efficient than the MRSS method for some of the asymmetric probability distributions considered in this paper.