On the Selection of Samples in Probability Proportional to Size Sampling: Cumulative Relative Frequency Method

Abstract

Generally in the sense that, the unit with large size contain more ancillary information than the unit with smaller size. So when samples from different sized subgroups or units are used and sampling is taken with the same probability, the chances of selecting a member from a large group are less than selecting a member from a smaller group although here the chances of selecting a member from a large group will be greater than selecting a member from a smaller group. That is it is clear that, the probability of selecting a unit is positively proportional to its size. The aim of this paper is to propose a method of selecting samples in probability proportional to size. This method uses relative frequency to select samples in probability proportional to size. Comparatively it takes less time and easy to apply than Cumulative Total Method and Lahiri’s Method.

Keywords: Probability Proportional to Size (PPS) Sampling, Cumulative Total Method, Lahiri’s Method, Cumulative Relative Frequency Method.