Stratification in Ratio Estimators: A Practical Approach

Abstract

Mango has its economical, medicinal and traditional uses. Mango plays an important role in socioeconomic transformation of rural masses in the state. Proper assessment of area and production estimate is a prerequisite for effective horticulture planning. Whenever the population is stratified, there are two methods of obtaining ratio estimator i.e. separate and combined ratio estimators. Stratifying the population geographically may yield inefficient estimates as within strata homogeneity in such case cannot be maintained. The objective of this paper was to illustrate the best stratification rule under two methods of allocation in case of separate and combines ratio estimators and to estimate the mango production in the state. So this paper presents the estimates of mean and variance under proportional and Neyman allocation of mango production of 325 orchardists of Himachal Pradesh, collected through well designed survey and then stratified into \(L\) (number of strata) \(=5\) and 6 demarcated using four stratification rules i) Equalization of Strata Total ii) Equalization of cumulative \(\sqrt{f(y)}\) iii) Equalization of cumulative \(\sqrt[3]{f(y)}\) and iv) Equalization of cumulative \(\frac{1}{2}[r(y)+f(y)]\) for varying number of sample sizes \((n=60,90,120)\).