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.
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
, 239-245. doi: 10.4236/ojs.2014.44023
 Cochran, W.G. (1940) The Estimation of the Yields of the Cereal Experiments by Sampling for the Ratio of Grain to Total Produce. The Journal of Agricultural Science, 30, 262-275. http://dx.doi.org/10.1017/S0021859600048012
 Murthy, M.N. (1964) Product Method of Estimator. The Indian Journal of Statistics Series, 26, 69-74.
 Olkin, I. (1958) Multivariate Ratio Estimation for Finite Population. Biometrika, 45, 154-165.http://dx.doi.org/10.1093/biomet/45.1-2.154
 Raj, D. (1965) On a Method of Using Multi-Auxiliary Information in Sample Surveys. Journals of the American Statistical Association, 60,154-165. http://dx.doi.org/10.1080/01621459.1965.10480789
 Singh, M.P. (1967) Multivariate Product Method of Estimation for Finite Population. Journal of the Indian Society of Agriculture Statistics, 31, 375-378.
 Singh, M.P. (1967) Multivariate Product Method of Estimation for Finite Population. Journal of the Indian Society of Agriculture Statistics, 31,375-378.
 Singh, H.P. and Tailor, R. (2003) Use of Known Correlation Coefficient in Estimating the Finite Population Mean. Statistics in Translation, 6, 553-560.
 Shabbir, J. and Gupta, S. (2007) On Estimating the Finite Population Mean with Population Proportion of an Auxiliary Variable. Pakistan Journal of Statistics, 23, 1-9.
 Jhajj, H.S., Sharma, M.K. and Grover, L.K. (2006) A Family of Estimator of Population Mean Using Information on Auxiliary Attributes. Pakistan Journal of Statistics, 22, 43-50.
 Bahl, S. and Tuteja, R.K. (1991) Ratio and Product Type Estimator. Information and Optimization Science, 12, 159-163.
 Rajesh, S., Pankaj, C., Nirmala, S. and Florentins, S. (2007) Auxiliary Information and a Priori Values in Construction of Improved Estimators. Renaissance High Press, USA.
 Simiuddin, M. and Hanif, M. (2007) Estimation of Population Mean in Single and Two Phase Sampling with or without Additional Information. Pakistan Journal of Statistics, 23, 99-118.
 Hanif, M., Haq, I.U. and Shahbaz, M.Q. (2009) On a New Family of Estimator Using Multiple Auxiliary Attributes. World Applied Science Journal, 11, 1419-1422.
 Naik, V.D. and Gupta, P.C. (1996) A Note on Estimation of Mean with Known Population of Auxiliary Character. Journal of the Indian Society of Agricultural Statistics, 48, 151-158.
 Hanif, M., Haq, I.U. and Shahbaz, M.Q. (2010) Ratio Estimator Using Multiple Auxiliary Attributes. World Applied Sciences Journal, 8, 133-136.
 Haq, I.U. (2009) A Family of Estimators for Two-Phase Sampling Using Multi-Auxiliary Attributes. Ph.D. Thesis, National College of Business Administration & Economics, Lahore.
 Arora, S. and Lal, B. (1989) New Mathematical Statistics. Satya Prakashan, New Delhi.