Free access to article on control charts with Big Data

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  • Author: Statistics Views
  • Date: 03 September 2018

Each week, we select a recently published article and provide free access. This week's is from Quality and Reliability Engineering International and is available from the December 2017 issue.

Detecting changes in location using distribution‐free control charts with big data

R. Sparks and S. Chakraborti

Quality and Reliability Engineering International, Volume 33, Issue 8, December 2017, pages 2577-2595

thumbnail image: Free access to article on control charts with Big Data

This paper proposes a simple distribution‐free control chart for monitoring shifts in location when the process distribution is continuous but unknown. In particular, we are concerned with big data applications where there are sufficient in‐control data that can be used to specify certain quantiles of interest which, in turn, are used to assess whether the new, incoming data to be monitored are in control. The distribution‐free chart is shown to lose very little power against the Shewhart charts designed for normally distributed data. The proposed charts offer a practical and robust alternative to the classical Shewhart charts which assume normality, particularly when monitoring quantiles and the data distribution is skewed. The effect of the size of the reference sample is examined on the assumption that the quantiles are known. Conclusions and recommendations are offered.

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