APPROXIMATE OPTIMUM STRATA BOUNDARIES FOR NEYMAN ALLOCATION UNDER RANKED SET SAMPLING

Abstract

Using convenient stratification criteria such as geographical regions or other natural conditions like age, gender, etc., is not
beneficial in order to maximize the precision of the estimates of variables of interest. Thus, one has to look for an efficient
stratification design to divide the whole population into homogeneous strata that achieves higher precision in the estimation. In this paper the problem of optimum stratification on an auxiliary variable'' X for Neyman allocation under ranked set sampling has
been considered, when the form of the regression of the estimation variable''Y on the auxiliary variable'' X given the variance
function( ) xyV | are known. A3 2 )(cum xK rule of finding approximately optimum strata boundaries has been proposed. Further, empirical study has been made and presented along with relative efficiency.