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Ranked Set Sampling: Theory and Applications.

Publication: Journal of the American Statistical Association
Publication Date: 01-SEP-05 		Format: Online - approximately 1313 words
Delivery: Immediate Online Access
Full Article Title: Ranked Set Sampling: Theory and Applications.(book by Zehua Chen, Zhidong Bai, and Bimal K. Sinha)(Book Review)

Article Excerpt
Ranked Set Sampling: Theory and Applications.

Zehua CHEN, Zhidong BAI, and Bimal K. SINHA. New York: Springer-Verlag, 2004. ISBN 0-387-40263-2. xii + 224 pp. $59.95 (P).

In statistical inference, whether faced with an estimation or testing problem, we typically try to maximize the amount of information extracted from the data subject to some budgetary constraint. In this regard, a sampling design that reduces the sampling cost while keeping the information content high is desirable. This is especially important in environmental research, where physical evaluation of the experimental units is prohibitively expensive. In many situations, subjective information is often available with no additional cost. This subjective information on a large number of experimental units can be used to create an artificial stratification of the fully measured expensive observations in the data. Ranked set sampling provides a body of techniques with detailed plans for how to collect and analyze such artificially stratified samples, and Ranked Set Sampling: Theory and Applications is an excellent book on the topic.

Considering the rapid growth in ranked set sampling research over the last two decades, especially after 1990, the absence of a book that provides a rigorous treatment of the collection of...

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