Author/Authors :
Muhammad, Yousaf Shad Department of Statistics - Quaid-i-Azam University, Islamabad, Pakistan , Khan, Saima Department of Statistics - Quaid-i-Azam University, Islamabad, Pakistan , Hussain, Ijaz Department of Statistics - Quaid-i-Azam University, Islamabad, Pakistan , Shoukry, Alaa Mohamd Arriyadh Community College - King Saud University, Riyadh, Saudi Arabia , Shamsuddin, Sadaf College of Business Administration - King Saud University, Riyadh, Saudi Arabia , Gani , Showkat College of Business Administration - King Saud University, Riyadh, Saudi Arabia
Abstract :
In this study, we developed a model which elaborates relationship among efficiency of an estimator and survey cost. This model is based on a multiobjective optimization programming structure. Survey cost and efficiency of related estimator(s) lie in different directions, i.e., if one increases, the other decreases. The model presented in this study computes cost for a desired level of efficiency on various characteristics (goals). The calibrated model minimizes the cost for the compromise optimal sample selection from different strata when characteristic is subject to achieve at least level of efficiency of its estimator. In the first step, the proposed model minimizes the variance for a fixed cost, and it then finds the rise in cost for an percent rise in efficiency of any characteristic j. The resultant model is a multiobjective compromise allocation goal programming model.
Keywords :
Minimum Cost , Sample Selection , Target Efficiency , Programming Model , Multiobjective
