Effect of Correlation Level on the Use of Auxiliary Variable in Double Sampling for Regression Estimation

Dawud Adebayo Agunbiade, Peter I. Ogunyinka

Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria.

DOI: 10.4236/ojs.2013.35037                

Abstract

While an auxiliary information in double sampling increases the precision of an estimate and solves the problem of bias caused by non-response in sample survey, the question is that, does the level of correlation between the auxiliary information x and the study variable y ease in the accomplishment of the objectives of using double sampling? In this research, investigation was conducted through empirical study to ascertain the importance of correlation level between the auxiliary variable and the study variable to maximally accomplish the importance of auxiliary variable(s) in double sampling. Based on the Statistics criteria employed, which are minimum variance, coefficient of variation and relative efficiency, it was established that the higher the correlation level between the study and auxiliary variable(s) is, the better the estimator is.

Keywords

Correlation Level; Auxiliary Variable; Regression Estimator; Double Sampling and Relative Efficiency of Estimator

Conflicts of Interest

The authors declare no conflicts of interest.

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