Two stage ranked set sampling for estimating the population median

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

McIntyre was the first to suggest ranked set sampling (RSS) method for estimating the population mean. In this paper, we modify RSS to come up with new sampling method, namely, two stage ranked set sampling (TSRSS) for samples of size m = 3k (k = 1,2,...). The TSRSS is suggested for estimating the population median in order to increase the efficiency of the estimators. The TSRSS was compared to the simple random sampling (SRS), ranked set sampling (RSS), extreme ranked set sampling (ERSS), median ranked set sampling (MRSS) and balance groups ranked set sampling (BGRSS) methods. It is found that, TSRSS gives an unbiased estimator of the population median of symmetric distributions and it is more efficient than SRS. Also, it is more efflcient than RSS, ERSS, MRSS and BGRSS based on the same number of measured units. For asymmetric distributions considered in this study, TSRSS has a small bias and smaller variance than SRS, RSS, ERSS, MRSS and BGRSS methods.

Original languageEnglish
Pages (from-to)95-99
Number of pages5
JournalSains Malaysiana
Volume37
Issue number1
Publication statusPublished - Mar 2008

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Two-stage Sampling
Ranked Set Sampling
Sampling Methods
Simple Random Sampling
Extremes

Keywords

  • Ranked set sampling
  • Simple random sampling
  • Two stage ranked set sampling

ASJC Scopus subject areas

  • General

Cite this

Two stage ranked set sampling for estimating the population median. / Jemain, Abdul Aziz; Al-Omari, Amer; Ibrahim, Kamarulzaman.

In: Sains Malaysiana, Vol. 37, No. 1, 03.2008, p. 95-99.

Research output: Contribution to journalArticle

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