Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling

John Kung’u; Leo Odongo

doi:10.4236/ojs.2014.44023

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Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling

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DOI: 10.4236/ojs.2014.44023 4,060 Downloads 4,891 Views Citations

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John Kung’u, Leo Odongo

Affiliation(s)

Department of Mathematics, Kenyatta University, Nairobi, Kenya.

ABSTRACT

In this paper, we have proposed a class of ratio-cum-product estimator for estimating population mean of study variable for single phase sampling using multi-auxiliary attributes. The expressions for mean square error are derived. An empirical study is given to compare the performance of the estimator with existing estimators. It has been found that the ratio-cum-product estimator using multiple auxiliary attributes is more efficient than mean per unit, product and ratio estimators using one auxiliary attribute, and Product and Ratio estimators using multiple auxiliary attributes in single phase sampling.

KEYWORDS

Ratio-Cum-Product Estimator, Multiple Auxiliary Attributes, Single Phase Sampling, Bi-Serial Correlation Coefficient

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Kung’u, J. and Odongo, L. (2014) Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling. Open Journal of Statistics, 4, 239-245. doi: 10.4236/ojs.2014.44023.

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