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Optimal sampling design under the Response Homogeneous Group response mechanism—A prediction approach☆

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Abstract An optimal strategy of design and estimator is suggested under the regression superpopulation model and Response Homogeneous Group (RHG) response mechanism. We derived the Best Linear Model Unbiased Estimator… Click to show full abstract

Abstract An optimal strategy of design and estimator is suggested under the regression superpopulation model and Response Homogeneous Group (RHG) response mechanism. We derived the Best Linear Model Unbiased Estimator (BLMUE) of the population under the assumed model and response mechanism. We also give the conditions under which the BMLUE has the smallest variance. We perform a small simulation study to compare the several strategies including the suggested one in this paper.

Keywords: response homogeneous; response mechanism; response; homogeneous group; design

Journal Title: Journal of The Korean Statistical Society
Year Published: 2017

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