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2018•Unpublished venueRequires access

Estimation of Population Mean in Two-Stage Sampling with Systematic Sampling in the Second Stage Sampling

Emmanuel John Ekpenyong‬, R. Ndukwe

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Abstract

This paper aims at proposing the estimator of the population mean in two-stage sampling when systematic sampling method in the second stage sampling is used instead of the usual simple random sampling method. Its Bias and Mean Square Error (MSE) are derived and its efficiency compared with the usual estimator when simple random sampling is applied at both stages. The theoretical results are validated numerically using the weights and ages of patients in Maternal and Child Health (MCH) Centres across Umuahia North Local Government Area and it is established that the proposed estimator has a greater efficiency than the existing classical estimator.

About this research paper

What this paper is about

This paper aims at proposing the estimator of the population mean in two-stage sampling when systematic sampling method in the second stage sampling is used instead of the usual simple random sampling method. Its Bias and Mean Square Error (MSE) are derived and its efficiency compared with the usual estimator when simple random sampling is applied at both stages. The theoretical results are validated numerically using the weights and ages of patients in Maternal and Child Health (MCH) Centres across Umuahia North Local Government Area and it is established that the proposed estimator has a greater efficiency than the existing classical estimator.

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Available abstract

This paper aims at proposing the estimator of the population mean in two-stage sampling when systematic sampling method in the second stage sampling is used instead of the usual simple random sampling method. Its Bias and Mean Square Error (MSE) are derived and its efficiency compared with the usual estimator when simple random sampling is applied at both stages. The theoretical results are validated numerically using the weights and ages of patients in Maternal and Child Health (MCH) Centres across Umuahia North Local Government Area and it is established that the proposed estimator has a greater efficiency than the existing classical estimator.

Key concepts: Systematic sampling, Simple random sample, Statistics, Estimator, Mean squared error, Mathematics, Sampling (signal processing), Stratified sampling

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