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Alternative ranked set sampling protocols for the sign test

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  • Öztürk, Ömer
  • Wolfe, Douglas A.

Abstract

In this paper we investigate the effects of different ranked set sampling protocols on the sign test statistic. Sampling protocols considered include sequential, mid-range and fixed sampling designs. We show that in all of these sampling protocols the introduction of any correlation structure on the quantified observations leads to a reduction in the Pitman efficiency of the sign test. In the fixed sampling protocol, design optimality is achieved when only the middle observation is quantified from each set.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:47:y:2000:i:1:p:15-23
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    Citations

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    Cited by:

    1. Wang, You-Gan & Zhu, Min, 2005. "Optimal sign tests for data from ranked set samples," Statistics & Probability Letters, Elsevier, vol. 72(1), pages 13-22, April.
    2. Omer Ozturk & Steven MacEachern, 2004. "Order restricted randomized designs for control versus treatment comparison," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 701-720, December.
    3. 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.
    4. Zhang, Liangyong & Dong, Xiaofang & Xu, Xingzhong, 2014. "Sign tests using ranked set sampling with unequal set sizes," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 69-77.

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