Computing the effect of measurement errors on the use of auxiliary information under systematic sampling

Abstract

The ratio, product, difference estimators, and unbiased estimator under systematic sampling scheme has been studied in the presence of measurement error. The methods of estimation have been proposed for the estimation of the finite population mean. To exhibit the effect of measurement error, the study variable and auxiliary variable are supposed to be observed with measurement error. The properties of estimators’ viz. bias and MSE have been obtained. The simulation study has been conducted to compute the effect of measurement error on the MSE for the different levels of correlation coefficient and different levels of error variance.

Keywords:

• Systematic sampling
• measurement error
• ratio estimator
• product estimator
• difference estimator
• mean square error

Mathematical Subject Classification:

• 62D05

Acknowledgements

Authors are deeply indebted to the editor-in-chief Prof. N. Balakrishnan and learned referees for their valuable suggestions leading to improving the quality of contents and presentation of the original manuscript.