An iterative local search approach applied to the optimal stratification problem

An iterative local search approach applied to the optimal stratification problem

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Article ID: iaor20107465
Volume: 17
Issue: 6
Start Page Number: 753
End Page Number: 764
Publication Date: Nov 2010
Journal: International Transactions in Operational Research
Authors: , , ,
Keywords: statistics: sampling
Abstract:

Stratified sampling is a technique that consists in separating the elements of a population into nonoverlapping groups, called strata. This paper describes a new algorithm to solve the one-dimensional case, which reduces the stratification problem to just determining strata boundaries. Assuming that the number L of strata and the total sample size n are predetermined, we obtain the strata boundaries by taking into consideration an objective function associated with the variance. In order to solve this problem, we have implemented an algorithm based on the iterative local search metaheuristic. Computational results obtained from a real data set are presented and discussed.

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