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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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Published in: | Communications in statistics. Theory and methods 2010-01, Vol.39 (18), p.3282-3293 |
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container_title | Communications in statistics. Theory and methods |
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creator | Khilare, S. K. Shirke, D. T. |
description | 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. |
doi_str_mv | 10.1080/03610920903249576 |
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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 |
title | A Nonparametric Synthetic Control Chart Using Sign Statistic |
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