Two Phase Adaptive Cluster Sampling Under Transformed Population Approach

Abstract

In survey sampling, it might happen that information on the population mean of the auxiliary variable is not available, but it can be obtained if the researcher opts for it. The sampling design to be used in such a case is the Two-Phase sampling design. This design has been studied extensively in SRSWOR, but it has not been studied when the population under study is rare or clumped. It is known that when the population under study is rare or clumped, adaptive cluster sampling (ACS) design is more efficient, and therefore in this paper we have proposed the Two-Phase Adaptive Cluster Sampling Under Transformed Population Approach and further proposed ratio and product estimator and a generalized robust ratio type estimator in this design. The bias and MSE of the proposed estimators have been derived and presented up to the first order of approximation. Further, the performance of the proposed estimators has been analyzed using simulation studies.