Alternative ranked set sampling protocols for the sign test

Ömer Öztürk and Douglas A. Wolfe

Statistics & Probability Letters, 2000, vol. 47, issue 1, 15-23

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.

Keywords: Nonparametric; test; Sampling; design; Pitman; efficiency; Optimal; allocation; Sequential; sampling (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (4)

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