On Matched Pairs Sign Test Using Bivariate Ranked Set Sampling: An Application to Environmental Issues

Hani Samawi, Mohammad F. Al-Saleh, Obaid Al-Saidy

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageAmerican English
JournalAfrican Journal of Environmental Science and Technology
Volume2
StatePublished - Jan 1 2008

Keywords

  • Bivariate ranked set sample
  • Bootstrap method
  • P-value of the test
  • Pitman’s relative efficiency
  • Power of the test
  • Sign test

DC Disciplines

  • Biostatistics
  • Community Health
  • Public Health

Fingerprint

Dive into the research topics of 'On Matched Pairs Sign Test Using Bivariate Ranked Set Sampling: An Application to Environmental Issues'. Together they form a unique fingerprint.

Cite this