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A comparison of control charting procedures for monitoring process dispersion

César A. Acosta-Mejía, Joseph J. Pignatiello, B. Venkateshwara Rao

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Abstract

We consider several control charts for monitoring normal processes for changes in dispersion. We present comparisons of the average run length performances of these charts. We demonstrate that a CUSUM chart based on the likelihood ratio test for the change point problem for normal variances has an ARL performance that is superior to other procedures. Graphs are given to aid in designing this control chart.

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What this paper is about

We consider several control charts for monitoring normal processes for changes in dispersion. We present comparisons of the average run length performances of these charts. We demonstrate that a CUSUM chart based on the likelihood ratio test for the change point problem for normal variances has an ARL performance that is superior to other procedures. Graphs are given to aid in designing this control chart.

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OpenAlex reports 122 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider several control charts for monitoring normal processes for changes in dispersion. We present comparisons of the average run length performances of these charts. We demonstrate that a CUSUM chart based on the likelihood ratio test for the change point problem for normal variances has an ARL performance that is superior to other procedures. Graphs are given to aid in designing this control chart.

Key concepts: CUSUM, Control chart, EWMA chart, X-bar chart, Chart, Statistical process control, Control limits, Shewhart individuals control chart

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