Performance of Tukey's and Individual/Moving Range Control Charts

Performance of Tukey's and Individual/Moving Range Control Charts

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Article ID: iaor201528926
Volume: 31
Issue: 6
Start Page Number: 1063
End Page Number: 1077
Publication Date: Oct 2015
Journal: Quality and Reliability Engineering International
Authors: , ,
Keywords: performance
Abstract:

This paper compares two control charts: Tukey (TCC) and individual/moving range (XmR) control charts. Both are designed to examine single observation per time period, but little is known about which one is more efficient and under what conditions. We simulated data from different distributions and examined the performance of the two control charts on these data. Performance was assessed using the of average run length, extra quadratic loss, median run length, standard deviation run length, performance comparison index, and relative average run length. Overall, TCC was more efficient than XmR, when observations had binomial, Rayleigh, logistic, lognormal, Maxwell, normal, Poisson, Weibull (with α = 10, β = 1), and Student's t (30 and 10 degrees of freedom) distributions. XmR was more efficient when observations had Student's t (with 4 degrees of freedom) and gamma (with α = 4, β = 1) distributions. These results suggest that improvement teams could reach faster conclusions if they use TCC in most common situations.

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