The Effectiveness of Multistage Ranked Set Sampling in Stratifying the Population

被引:3
|
作者
Samuh, Monjed Hisham [1 ]
Al-Saleh, Mohammad Fraiwan [2 ]
机构
[1] Palestine Polytech Univ, Dept Math & Comp Sci, Hebron, Israel
[2] Yarmouk Univ, Dept Stat, Irbid, Jordan
关键词
Judgment order statistic; Multistage ranked set sampling; Overlapping coefficient; Ranked set sampling; OVERLAPPING COEFFICIENT; ORDER-STATISTICS;
D O I
10.1080/03610920903521925
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The effectiveness of Ranked Set Sampling (RSS) and Multistage Ranked Set Sampling (MSRSS) in stratifying the population is demonstrated. The overlapping coefficient of Weitzman (1970) is used as a numerical index to measure the degree of stratification at each stage. It turns out that this measure, under the assumption of no error in ranking, doesn't depend on the underlying distribution. Possible uses of this measure at the design stage and at the inference stage are addressed and briefly demonstrated. The overlapping coefficient in the case of judgment order statistics and its possible use in testing for perfect ranking is briefly addressed and put forward for future investigation.
引用
收藏
页码:1063 / 1080
页数:18
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