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Outliers and the use of the rank transformation to detect active effects in unreplicated 2(f) experiments
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UNSPECIFIED (2001) Outliers and the use of the rank transformation to detect active effects in unreplicated 2(f) experiments. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 30 (3). pp. 637-663. ISSN 0361-0918.
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Abstract
It is well known that outliers or faulty observations affect the analysis of unreplicated factorial experiments. This work proposes a method that combines the rank transformation of the observations, the Daniel plot and a formal statistical testing procedure to assess the significance of the effects. It is shown, by means of previous theoretical results cited in the literature, examples and a Monte Carlo study, that the approach is helpful in the presence of outlying observations. The simulation study includes an ample set of alternative procedures that have been published in the literature to detect significant effects in unreplicated experiments. The Monte Carlo study also. gives evidence that using the rank transformation as proposed. provides two advantages: keeps control of the experimentwise error rate and improves the relative power to detect active factors in the presence of outlying observations.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | ||||
Publisher: | MARCEL DEKKER INC | ||||
ISSN: | 0361-0918 | ||||
Official Date: | 2001 | ||||
Dates: |
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Volume: | 30 | ||||
Number: | 3 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 637-663 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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