A Nonparametric Synthetic Control Chart Using Sign Statistic

This article presents a synthetic control chart for detection of shifts in the process median. The synthetic chart is a combination of sign chart and conforming run-length chart. The performance evaluation of the proposed chart indicates that the synthetic chart has a higher power of detecting shift...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2010-01, Vol.39 (18), p.3282-3293
Main Authors: Khilare, S. K., Shirke, D. T.
Format: Article
Language:English
Subjects:
Applications
Average run length
Control charts
CRL chart
Exact sciences and technology
General topics
Mathematics
Multivariate analysis
Nonparametric control chart
Primary 62G86
Probability and statistics
Reliability, life testing, quality control
Sciences and techniques of general use
Secondary 62P30
Sign statistic
Statistics
Studies
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Summary:This article presents a synthetic control chart for detection of shifts in the process median. The synthetic chart is a combination of sign chart and conforming run-length chart. The performance evaluation of the proposed chart indicates that the synthetic chart has a higher power of detecting shifts in process median than the Shewhart charts based on sign statistic as well as the classical Shewhart X-bar chart for various symmetric distributions. The improvement is significant for shifts of moderate to large shifts in the median. The robustness studies of the proposed synthetic control chart against outliers indicate that the proposed synthetic control chart is robust against contamination by outliers.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610920903249576