A Note on "Modified Tukey's Control Chart"

Tercero-Gomez et al. [Communications in Statistics - Simulation and Computation, 2012, 41(9), pp. 1566-1579] modified the Tukey's chart to improve the insensitivity of signaling mean shifts when the population is skewly distributed. They examine the efficiency for several skewed populations wit...

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Bibliographic Details
Published inCommunications in statistics. Simulation and computation Vol. 44; no. 1; pp. 233 - 238
Main Authors Lee, Pei-Hsi, Torng, Chau-Chen
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.01.2015
Taylor & Francis Ltd
Subjects
Average run length
Primary 62P30
Secondary 62E17
Skew distribution
Statistical design
Tukey's control chart
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Summary:Tercero-Gomez et al. [Communications in Statistics - Simulation and Computation, 2012, 41(9), pp. 1566-1579] modified the Tukey's chart to improve the insensitivity of signaling mean shifts when the population is skewly distributed. They examine the efficiency for several skewed populations with the modified Tukey's chart (MTCC). The parameters of the MTCC were intuitively calibrated to fit several gamma distributions without following a specific mathematical procedure. Moreover, they performed no optimization for specific distributions. This study optimizes the MTCC with a statistical model for each skewed population and reexamines its efficiency. A numerical comparison shows that the optimal MTCC is sensitive to detect the shift of the means.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2013.771743