African Journal of Environmental Science and Technology
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Article Number - 1B1A84811175


Vol.2(1), pp. 001-009 , January 2008

ISSN: 1996-0786



Full Length Research Paper

On the matched pairs sign test using bivariate ranked set sampling: an application to environmental issues


Hani M. Samawi1*, Mohammad F. Al-Saleh2 and Obaid Al-Saidy3




 

1Jiann-Ping Hsu College of Public Health, PO Box 8015, Georgia Southern University Statesboro, GA 30460, USA.

2Department of Statistics, Yarmouk University, Irbid-Jordan, 211-63

3Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-khod 123, Sultanate of OMAN


Email: hsamawi@georgiasouthern.edu






 Accepted: 15 January 2008  Published: 31 January 2008

Copyright © 2008 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


 

The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more efficient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the efficiency of the test are derived. The Pitman asymptotic relative efficiency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes,  the bootstrap method is used to estimate P-values. Numerical comparisons are used to gain insight about the efficiency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more efficient than using BVSRS. Illustration using palm trees data from sultanate of Oman is provided.

 

Key words: Bootstrap method, bivariate ranked set sample, power of the test, P-value of the test, Pitman’s relative efficiency, sign test


APA (2008). On the matched pairs sign test using bivariate ranked set sampling: an application to environmental issues. African Journal of Environmental Science and Technology , 2(1), 001-009.
Chicago Hani M. Samawi, Mohammad F. Al-Saleh and Obaid Al-Saidy. "On the matched pairs sign test using bivariate ranked set sampling: an application to environmental issues." African Journal of Environmental Science and Technology 2, no. 1 (2008): 001-009.
MLA Hani M. Samawi, Mohammad F. Al-Saleh and Obaid Al-Saidy. "On the matched pairs sign test using bivariate ranked set sampling: an application to environmental issues." African Journal of Environmental Science and Technology 2.1 (2008): 001-009.
   
DOI
URL http://academicjournals.org/journal/AJEST/article-abstract/1B1A84811175

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