Environmental and Ecological Statistics

, Volume 18, Issue 4, pp 757–779 | Cite as

Sampling from partially rank-ordered sets



In this paper we introduce a new sampling design. The proposed design is similar to a ranked set sampling (RSS) design with a clear difference that rankers are allowed to declare any two or more units are tied in ranks whenever the units can not be ranked with high confidence. These units are replaced in judgment subsets. The fully measured units are then selected from these partially ordered judgment subsets. Based on this sampling scheme, we develop unbiased estimators for the population mean and variance. We show that the proposed sampling procedure has some advantages over standard ranked set sampling.


Ranked set sampling Imperfect ranking Sampling design Observational economy Variance estimation 


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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of StatisticsThe Ohio State UniversityColumbusUSA

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