JSM 2004 - Toronto

Abstract #302015

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Activity Number: 278
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #302015
Title: A Study of an Optimization Method Used for the Planning of a Complex Multivariate Survey
Author(s): Anders Holmberg*+
Companies: Statistics Sweden
Address: Dept. of Research & Methodology, Örebro, International, SE-70189, Sweden
Keywords: auxiliary information ; nonlinear optimization ; probability proportional-to-size sampling ; sample allocation
Abstract:

A very important part in the planning phase of a survey is the choice of sampling design. We present preliminary studies of a method that aims to find an optimal sampling design when the survey has a multivariate purpose and when the survey population is stratified. To solve a classical planning problem, i.e., finding a survey strategy where the precision of the estimators is as high as possible for a given cost, a nonlinear optimization problem is formulated. The optimization problem is to determine element inclusion probabilities and the stratum sample allocation, which minimize a function of estimator variances under certain restrictions of precision. We illustrate the method and study its behavior when the restrictions are made on several variables, across or within strata.

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