Article ID: | iaor20123817 |
Volume: | 75 |
Issue: | 2 |
Start Page Number: | 185 |
End Page Number: | 197 |
Publication Date: | Apr 2012 |
Journal: | Mathematical Methods of Operations Research |
Authors: | Varshney Rahul, Ahsan M, Najmussehar Rahul |
Keywords: | statistics: sampling, optimization |
In a multivariate stratified sampling more than one characteristic are defined on every unit of the population. An optimum allocation which is optimum for one characteristic will generally be far from optimum for others. A compromise criterion is needed to work out a usable allocation which is optimum, in some sense, for all the characteristics. When auxiliary information is also available the precision of the estimates of the parameters can be increased by using it. Furthermore, if the travel cost within the strata to approach the units selected in the sample is significant the cost function remains no more linear. In this paper an attempt has been made to obtain a compromise allocation based on minimization of individual coefficients of variation of the estimates of various characteristics, using auxiliary information and a nonlinear cost function with fixed budget. A new compromise criterion is suggested. The problem is formulated as a multiobjective all integer nonlinear programming problem. A solution procedure is also developed using goal programming technique.