TITLE:
Effect of Correlation Level on the Use of Auxiliary Variable in Double Sampling for Regression Estimation
AUTHORS:
Dawud Adebayo Agunbiade, Peter I. Ogunyinka
KEYWORDS:
Correlation Level; Auxiliary Variable; Regression Estimator; Double Sampling and Relative Efficiency of Estimator
JOURNAL NAME:
Open Journal of Statistics,
Vol.3 No.5,
October
9,
2013
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.