Evaluating The Performances of Estimators of Population Mean Weight of Babies in FMC, Imo State Under Simple Random Sampling Scheme

Abstract

Gestational age plays a vital role in obstetrics. Accurately estimating the average gestational age in pregnant women will help ascertain  the growth of the fetus and it is also essential in structuring prenatal care, including decisions about timing and route of delivery. . This  study compares the efficiency of some existing estimators of population mean using simple random sampling scheme. The estimators  were compared using a real data on gestational age incorporating the weight of babies as auxiliary variable. Three samples of (n = 100,  150, 200) were selected from the population for the analysis. Of all the estimators compared, result showed that the classical regression  estimator t₆ and Kadilar (2016) estimator t₄ which approximates to the regression estimator are equally efficient and also proved to be  the most efficient estimators with a lowest mean squared errors and highest percent relative efficiencies. Thus, t₄ and t₆ can used to  estimate the population mean of the auxiliary variable in practice.