A Modified Ratio Estimator in the Presence of Tri-Mean and Interquartile Range for the Estimation of Population Variance

Abstract

In this paper, a modified ratio estimator in the presence of tri-mean and interquartile range, for estimating the population variance is proposed. Having studied the estimator proposed by Yadav et al. (2017) where they made use of information on tri-mean and inter-quartile range of the auxiliary variable to improve the estimate and efficiency of the variance estimator for estimating the population variance. The bias and mean squared error of the proposed estimator were derived up to first order of approximation and conditions for which the proposed estimator more efficient than other estimators considered in the study were also established. Numerical illustration was conducted using Murthy (1967) and Singh and Chaudhary (1986) datasets. It was shown that the proposed modified ratio estimator perform better than some existing related ratio estimators.