Properties and performance of the c-chart for attributes data

Show simple item record Chakraborti, Subhabrata Human, Schalk William 2009-04-17T07:35:36Z 2009-04-17T07:35:36Z 2008
dc.description.abstract The effects of parameter estimation are examined for the well-known c-chart for attributes data. The exact run length distribution is obtained for Phase II applications, when the true average number of non-conformities, c, is unknown, by conditioning on the observed number of non-conformities in a set of reference data (from Phase I). Expressions for various chart performance characteristics, such as the average run length (ARL), the standard deviation of the run length (SDRL) and the median run length (MDRL) are also obtained. Examples show that the actual performance of the chart, both in terms of the false alarm rate (FAR) and the in-control ARL, can be substantially different from what might be expected when c is known, in that an exceedingly large number of false alarms are observed, unless the number of inspection units (the size of the reference dataset) used to estimate c is very large, much larger than is commonly used or recommended in practice. In addition, the actual FAR and the in-control ARL values can be very different from the nominally expected values such as 0.0027 (or ARL0=370), particularly when c is small, even with large amounts of reference data. A summary and conclusions are offered. en_US
dc.identifier.citation Chakraborti, S & Human, SW 2008, ‘Properties and performance of the c-chart for attributes data’, Journal of Applied Statistics, vol. 35, no. 1, pp. 89-100 en_US
dc.identifier.issn 1360-0532
dc.identifier.other 10.1080/02664760701683643
dc.language.iso en en_US
dc.publisher Taylor & Francis en_US
dc.rights Taylor & Francis. This is an electronic version of an article published in Journal of Applied Statistics, vol. 35, no. 1, pp. 89-100, January 2008. Journal of Applied Statistics is available online at: [ 1360-0532 &volume=35&issue=1&spage=89. en_US
dc.subject Non-conformities en_US
dc.subject Defects en_US
dc.subject Shewhart en_US
dc.subject Statistical process control en_US
dc.subject Phase I en_US
dc.subject Phase II en_US
dc.subject Parameter estimation en_US
dc.subject Poisson distribution en_US
dc.subject Run length en_US
dc.subject Average run length en_US
dc.subject Percentiles en_US
dc.subject In-control en_US
dc.subject Out-of-control en_US
dc.title Properties and performance of the c-chart for attributes data en_US
dc.type Postprint Article en_US

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