Bayesian Control Chart for Nonconformities |
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| Authors: | L Raubenheimer AJ van der Merwe |
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| Affiliation: | 1. Department of Statistics, Rhodes University, Grahamstown, South Africa;2. Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South Africa |
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| Abstract: | The c‐chart or the control chart for nonconformities is designed for the case where one deals with the number of defects or nonconformities observed. A control chart can be developed for the total or average number of nonconformities per unit, which is well modeled by the Poisson distribution. In this paper the c‐chart will be studied, where the usual operation of the c‐chart will be extended by introducing a Bayesian approach for the c‐chart. Control chart limits, average run lengths, and false alarm rates will be determined by using a Bayesian method. These results will be compared with the results obtained when using the classical (frequentist) method. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | Bayesian analysis c‐chart Poisson distribution posterior predictive density |
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