Determination of Probability of Selection for Two Measures of Sizes Using Unequal Probability Sampling in Agricultural Sample Surveys

In this paper an effort has been made to design a methodology for the determination of probability of selection for the cases where more than one measure of sizes are involved, especially in the case of agricultural sample surveys. So far no effort has been made for the cases of this sort in the literature of unequal probability sampling / probability proportional to size sampling. In this paper, a method has been developed to merge two measures of sizes in to one, which has combined proportional affect of both measures of sizes. The method is also valid for two measures of sizes having different units of measurements. It is also an unprecedented effort. A comparative study, using Horvitz – Thompson estimator and taking examples from agricultural surveys have been carried out to assess the performance of the new methodology.