Affiliations: Department of Statistics, Central University of South Bihar, B I T Patna Campus, PO: B V College, Patna 800 014, Bihar, India. E-mail: [email protected]
Abstract: Ranked set sampling (RSS) is a cost-effective sampling
technique that induces stratification on the population through rank orders
of samples. This, in turn, provides a more structured sample than a simple
random sample does with the same sample size. This yields more efficient
estimators of some parameters of interest. In this method a fairly large
number of randomly identified sampling units are portioned into small
subsets of the same size. The units of each subset are ranked separately
with respect to the characteristic of interest without using their actual
measurements. The measurements of the units with some specified ranks
constitute a ranked set sample. In this paper we wish to discuss theory,
methods and some recently reported applications of RSS to highlight its
advantages. This method could be of some particular interest to those who
look for a cost-effective and more efficient data collection technique for
sampling and monitoring situations.
Keywords: Order statistics, perfect and concomitant ranking, relative precision and savings