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Alternative ranked set sampling protocols for the sign test

  • Design


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.

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