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
Diserahkan: 28 April 2010 / Diterima:
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
RUJUKAN
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 Malaysiana37(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.
*Pengarang untuk surat-menyurat; email:
kamarulz@ukm.my
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