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• W2012853868 abstract "In this paper, we construct a new ranked set sampling protocol that maximizes the Pitman asymptotic efficiency of the signed rank test. The new sampling design is a function of the set size and independent order statistics. If the set size is odd and the underlying distribution is symmetric and unimodal, then the new sampling protocol quantifies only the middle observation. On the other hand, if the set size is even, the new sampling design quantifies the two middle observations. This data collection procedure for use in the signed rank test outperforms the data collection procedure in the standard ranked set sample. We show that the exact null distribution of the signed rank statistic WRSS+ based on a data set generated by the new ranked set sample design for odd set sizes is the same as the null distribution of the simple random sample signed rank statistic WSRS+ based on the same number of measured observations. For even set sizes, the exact null distribution of WRSS+ is simulated." @default.
• W2012853868 created "2016-06-24" @default.
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• W2012853868 date "2001-07-01" @default.
• W2012853868 modified "2023-10-04" @default.
• W2012853868 title "A new ranked set sampling protocol for the signed rank test" @default.
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• W2012853868 doi "https://doi.org/10.1016/s0378-3758(00)00211-1" @default.
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