Construction of Strata for a Model-Based Allocation Under a Superpopulation Model

Abstract

This paper considers the problem of optimum stratification for a model-based allocation under a superpopulation model. The equations giving optimum points of stratification have been derived and a few methods for finding approximately optimum points of stratification have been obtained from the equations. Numerical illustrations using generated data have been worked out and the proposed methods of stratification have been compared with equal interval stratification.

Keywords

• Approximately optimum strata boundaries
• Auxiliary variable
• Optimum strata boundaries
• Superpopulation models