Investigating the Performance of Horvitz-Thompson and Generalized Regression Estimators in Small Domains with Application to Income and Expenditure of Households in Makurdi-Nigeria
Authors
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A J Ikughur
Department of Mathematics/Statistics/ Computer Science, University of Agriculture, Makurdi-Nigeria
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M T Imande
Department of Mathematics/Computer Science, Benue State University Makurdi-Nigeria
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S Vambe
Department of Mathematics/Statistics/ Computer Science, University of Agriculture, Makurdi-Nigeria
Abstract
In this study, efficiencies of Horvitz-Thompson (HT) and Generalized Regression (GREG) estimatorsrnare investigated in small domains namely Domain 1, 2 and 3. Efficiency criteria include the standardrnerror of the estimates (SE) and coefficient of variation (CV) Computed for the study population ofrnsize 1052 households consisting of domain size of 885, 151 and 16 and domain samples sizes of 167,rn29 and 3 respectively for Domains 1, 2 and 3. The estimates produced by HT estimator GREGrnestimator performs better than HT estimator with domain