Performance of Nonparametric Control Charts

A. K. Laha, Gupta Divesh and Choubey Anant

No WP2005-10-04, IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department

Abstract: The well known Shewharts control chart for mean is constructed under the assumption that the distribution of underlying quality characteristic is normal. It is known that the performance of this control chart is seriously degraded if the underlying distribution is different from normal. Since in many real life situations the distribution of the quality characteristic is not known several authors have suggested use of nonparametric control charts. In this paper we use simulation to study the performance of three of these nonparametric control charts: the median chart (Janacek and Meikle, 1997), the boostrap control chart (Liu and Tang, 1996) and Hodges-Lehmann control chart (Alloway and Raghavachari, 1991) for different distributions of the quality characteristic. The in-control and out-of-control run length properties of these charts are compared against that of the control chart for mean with estimated control limits. The run length properties of all these control charts are found to be dependent on the reference sample drawn. The Hodges-Lehmann control chart is seen to perform best among all the charts considered in this study. Note: For softcopy of this paper, please contact the authors - email: arnab@iima.ac.in

Date: 2005-10-04
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:iim:iimawp:wp01911

Access Statistics for this paper

More papers in IIMA Working Papers from Indian Institute of Management Ahmedabad, Research and Publication Department Contact information at EDIRC.
Bibliographic data for series maintained by ().