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

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.