Sains Malaysiana 40(4)(2011): 397–401

On Comparison of Some Variation of Ranked Set Sampling

(Tentang Perbandingan Beberapa Variasi Pensampelan Set Terpangkat)

Kamarulzaman Ibrahim*

School of Mathematical Sciences, Faculty of Science and Technology

Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor D.E., Malaysia

Received: 28 April 2010 / Accepted: 1 November 2010

ABSTRACT

Many sampling methods have been suggested for estimating the population median. In the situation when the sampling units in a study can be easily ranked than quantified, the ranked set sampling methods are found to be more efficient and cost effective as compared to the simple random sampling. In this paper, the superiority of several ranked set sampling methods over the simple random sampling are illustrated through some simulation study. In addition, some new research topics under ranked set sampling are suggested.

Keywords: Ranked set sampling; simple random sampling; simulation study

ABSTRAK

Pelbagai kaedah pensampelan dicadangkan untuk menganggar median populasi. Dalam keadaan bila unit pensampelan senang untuk dipangkatkan berbanding dengan disukat, pensampelan set terpangkat didapati lebih cekap dan kos efektif berbanding dengan pensampelan rawak ringkas. Dalam kertas ini, kelebihan beberapa kaedah pensampelan set terpangkat ditunjukkan menerusi kajian simulasi. Di samping itu, beberapa tajuk baru dalam pensampelan set terpangkat dicadangkan.

Kata kunci: Kajian simulasi; pensampelan rawak ringkas; pensampelan set terpangkat

REFERENCES

Al-Subh, S.A., Al-Odat, M.T., Ibrahim, K. & Jemain, A.A. 2009. EDF goodness of fit tests of logistic distribution under selective order statistics. Pakistan Journal of Statistics 25(3): 265-274.

Jemain, A.A., Al-Omari, A.I. & Ibrahim, K. 2007a. Two-stage ranked set sampling for estimating the population median. Sains Malaysiana 37(1): 95-99.

Jemain, A.A., Al-Omari, A.I. & Ibrahim, K. 2007b. Multistage ranked set sampling for estimating the population median. Journal of Mathematics and Statistics 3(2): 58-64.

Jemain, A.A., Al-Omari, A.I. & Ibrahim, K. 2009. Balanced groups ranked set samples for estimating the population median. Journal of Applied Statistical Science 17: 39-46.

McIntyre, G.A. 1952. A method for unbiased selective sampling using ranked sets. Australian Journal of Agricultural Research 3: 385-390.

Muttlak, H.A. 1997. Median ranked set sampling. Journal of Applied Statistical Science 6: 245-255.

Muttlak, H.A. 2003. Investigating the use of quartile ranked set sampling for estimating the population mean. Applied Mathematics and Computation 146: 437-443.

Samawi, H.M., Ahmed, M.S. & Abu Dayyeh, W. 1996. Estimation of ratio using rank set sampling. The Biometrical Journal 36(6): 753-764.

Samawi, H.M. & Muttlak, H.A. 2001. On ratio estimation using median ranked set sampling. Journal of Applied Statistical Science 10(2): 89-98.

Samawi, H.M. & Tawalbeh, E.M. 2002. Double median ranked set sample: Comparison to other double ranked samples for mean and ratio estimators. Journal of Modern Applied Statistical Methods 1(2): 428-442.

Takahasi, K. & Wakimoto, K. 1968. On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics 20: 1-31.

*Corresponding author; email: kamarulz@ukm.my