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- W3022837266 abstract "Nonparametric or distribution-free charts can be useful in statisti- cal process control problems when there is limited or lack of knowledge about the underlying process distribution. In this paper, a phase II Shewhart-type chart is considered for location, based on reference data from phase I analysis and the well-known Mann-Whitney statistic. Control limits are computed us- ing Lugannani-Rice-saddlepoint, Edgeworth, and other approximations along with Monte Carlo estimation. The derivations take account of estimation and the dependence from the use of a reference sample. An illustrative numeri- cal example is presented. The in-control performance of the proposed chart is shown to be much superior to the classical Shewhart ¯ X chart. Further com- parisons on the basis of some percentiles of the out-of-control conditional run length distribution and the unconditional out-of-control ARL show that the proposed chart is almost as good as the Shewhart ¯ X chart for the normal distribution, but is more powerful for a heavy-tailed distribution such as the Laplace, or for a skewed distribution such as the Gamma. Interactive soft- ware, enabling a complete implementation of the chart, is made available on a website." @default.
- W3022837266 created "2020-05-13" @default.
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- W3022837266 date "2003-01-01" @default.
- W3022837266 modified "2023-09-23" @default.
- W3022837266 title "A nonparametric control chart based on the Mann-Whitney statistic" @default.
- W3022837266 hasPublicationYear "2003" @default.
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