Towards the Efficiency of the Ratio Estimator for Population Median in Survey Sampling

Authors

  • Matthew Joshua Iseh

Abstract

This study leveraged on the fact that researchers in survey sampling sometimes do not take into consideration the tool that will be most appropriate in the measure of location. As a result, users of statistics often go for the mean or total, which has been widely discussed in the finite population sampling literature, unlike the median, which is more complicated to deal with given that it has to do with ordered data. This study suggests an estimator of population median in single and double sampling technique with two auxiliary variables. From the result obtained, it is established that the proposed estimators perform better when the considered variables are from a highly skewed distribution, such as income, expenditure, scores. In addition, it was observed that the proposed estimators were less bias and more efficient than the existing estimators of their class.

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How to Cite

Towards the Efficiency of the Ratio Estimator for Population Median in Survey Sampling. (2021). Global Journal of Science Frontier Research, 21(F4), 37-49. https://www.journalofscience.org/index.php/GJSFR/article/view/3019

References

A Aczel, J Sounderpandian (2004) Complete Business Statistics.

Sibel Aladag, Hulya Cingi (2015) Improvement in Estimating the Population Median in Simple Random Sampling and Stratified Random Sampling Using Auxiliary Information. 44(5), 1013-1032.

Shashi Bahl, R Tuteja (1991) Ratio and Product Type Exponential Estimators. 12(1), 159-164.

Afifa Baig, Saadia Masood, Tanveer Ahmed Tarray (2019) Improved class of difference-type estimators for population median in survey sampling. 49(23), 5778-5793.

E Enang, S Etuk, E Ekpenyong, V Akpan (2016) An alternative Exponential estimator of population median. 17(3), 85-97.

T Gross (1980) Median estimation in sample surveys. 181-184.

M Iseh (2020) ENHANCING EFFICIENCY OF RATIO ESTIMATOR OF POPULATION MEDIAN BY CALIBRATION TECHNIQUES. 9(8), 14-23.

H Jhajj, Harpreet Kaur, Puneet Jhajj (2016) Efficient family of estimators of median using two-phase sampling design. 45(15), 4325-4331.

Cem Kadilar, Hulya Cingi (2004) Ratio estimators in simple random sampling. 151(3), 893-902.

Anthony Kuk, T Mak (1989) Median Estimation in the Presence of Auxiliary Information. 51(2), 261-269.

M Chaudhry (2004) Pakistan, Ministry of Finance, Revenue and Economic Affairs. Report of Prime Minister's Task Force on Agriculture. Islamabad. December 1993. 68 pp.. 194-199.

M Murthy (1964) Product method of estimation. 26, 69-74.

Javid Shabbir, Sat Gupta (2017) A generalized class of difference type estimators for population median in survey sampling. 46(106), 1-1.

S Singh (2003) Advanced Sampling Theory and Applications: How Michael 'Selected' Amy. I.

Sarjinder Singh, Anwar Joarder, D Tracy (2001) Median Estimation Using Double Sampling. 43(1), 33-46.

S Singh, H Singh, L Upadhyaya (2007) Chain ratio and regression-type estimators for median estimation in survey sampling. 48(1), 23-46.

Sarjinder Singh, Housila Singh, Lakshmi Upadhyaya (2003) Chain ratio and regression type estimators for median estimation in survey sampling. 48(1), 23-46.

Housila Singh, Ramkrishna Solanki (2013) Some Classes of Estimators for the Population Median Using Auxiliary Information. 42(23), 4222-4238.

D Robson (1957) Applications of Multivariate Polykays to the Theory of Unbiased Ratio-Type Estimation. 52(280), 511-522.

Towards the Efficiency of the Ratio Estimator for Population Median in Survey Sampling

Published

2021-10-09

How to Cite

Towards the Efficiency of the Ratio Estimator for Population Median in Survey Sampling. (2021). Global Journal of Science Frontier Research, 21(F4), 37-49. https://www.journalofscience.org/index.php/GJSFR/article/view/3019