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An optimal sign test for one-sample bivariate location model using an alternative bivariate ranked-set sample

Author

Listed:
  • Hani Samawi
  • Mohammed Al-Haj Ebrahem
  • Noha Al-Zubaidin

Abstract

The aim of this paper is to find an optimal alternative bivariate ranked-set sample for one-sample location model bivariate sign test. Our numerical and theoretical results indicated that the optimal designs for the bivariate sign test are the alternative designs with quantifying order statistics with labels {((r+1)/2, (r+1)/2)}, when the set size r is odd and {(r/2+1, r/2), (r/2, r/2+1)} when the set size r is even. The asymptotic distribution and Pitman efficiencies of these designs are derived. A simulation study is conducted to investigate the power of the proposed optimal designs. Illustration using real data with the Bootstrap algorithm for P-value estimation is used.

Suggested Citation

  • Hani Samawi & Mohammed Al-Haj Ebrahem & Noha Al-Zubaidin, 2010. "An optimal sign test for one-sample bivariate location model using an alternative bivariate ranked-set sample," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 629-650.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:4:p:629-650
    DOI: 10.1080/02664760902810805
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    References listed on IDEAS

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    1. Öztürk, Ömer & Wolfe, Douglas A., 2000. "Alternative ranked set sampling protocols for the sign test," Statistics & Probability Letters, Elsevier, vol. 47(1), pages 15-23, March.
    2. Modarres, Reza & Hui, Terrence P. & Zheng, Gang, 2006. "Resampling methods for ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1039-1050, November.
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