CALIBRATION APPROACH BASED ESTIMATION OF FINITE POPULATION TOTAL IN SURVEY SAMPLING UNDER SUPER POPULATION MODEL WHEN STUDY VARIABLE AND AUXILIARY VARIABLE ARE INVERSELY RELATED

  • Sandeep Kumar Department of Agricultural Statistics, Narendra Deva University of Agriculture and Technology, Faizabad, India
  • B.V.S. Sisodia Department of Agricultural Statistics, Narendra Deva University of Agriculture and Technology, Faizabad, India
  • Dhirendra Singh Department of Agricultural Statistics, Narendra Deva University of Agriculture and Technology, Faizabad, India
  • Pradip Basak ICAR - Indian Agricultural Statistics Research Institute, New Delhi, India
Keywords: Auxiliary Information, Super Population Model, Calibration Estimator, Model Based Estimator, Model Based Calibration Estimator

Abstract

In the present paper we have developed calibration and model based calibration estimators of finite population total when study variable and auxiliary variable are inversely related. It has been shown that calibration, model based and model based calibration approaches provided the same estimators under certain conditions but their variances are different. A limited simulation study has been conducted to examine the relative performance of the estimators based on the aforesaid three approaches. The results of simulation study indicated that regression type model based calibration estimator is the best among all the estimators.

 

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Published
2017-12-05
Section
Articles