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Alternative ranked set sampling protocols for the sign test

✍ Scribed by Ömer Öztürk; Douglas A. Wolfe

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
96 KB
Volume
47
Category
Article
ISSN
0167-7152

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✦ Synopsis

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

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