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Inference in the presence of ranking error in ranked set sampling
Authors:Omer Ozturk
Affiliation:Department of Statistics, Ohio State University Columbus, OH 43210, USA
Abstract:The author proposes inference techniques for ranked set sample data in the presence of judgment ranking errors. He bases his analysis on the models of Bohn & Wolfe (1994) and Frey (2007a, b), of which parameters are estimated by minimizing a distance measure. He then uses the fitted models to calibrate confidence intervals and tests. He shows the validity of his approach through simulation and illustrates its application through the construction of distribution‐free confidence intervals for the median area of apple tree leaves covered by a spray.
Keywords:Imperfect ranking  median confidence interval  rank‐sum test  ranked set sampling  ranking bias  ranking models  sign test
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