Ratio Estimation of Population Proportion With Optimality in Presence of Non-Response
Abstract
Studies on the estimation of population proportions have been around at improving the accuracy and efficiency of survey designs. A number of studies have been carried out on estimation of population proportion without non-response under optimality, however, non-response remains a significant challenge, often introducing bias and reducing reliability. This study examined the impact of non-response on sample size, bias, variance and relative efficiency using the ratio estimation. Simulations study has been performed using R-Software to compare empirical estimator of the population proportion. Results indicated that an increase in the non-response rate leads to a larger sample size, increased MSE and reduced bias and variance. Graphical analysis confirmed that the MSE increased the sample size, highlighting the limitations of large samples in the presence of non-response. From the results it was confirmed that the ratio estimators were reliable method for proportion estimation provided non-response adjustments and optimal sample allocation are implemented.
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