ISO 7870-6:2016
Control charts — Part 6: EWMA control charts
ISO 7870-6:2016 covers EWMA control charts as a statistical process control technique to detect small shifts in the process mean. It makes possible the faster detection of small to moderate shifts in the process average. In this chart, the process average is evaluated in terms of exponentially weighted moving average of all prior sample means. EWMA weights samples in geometrically decreasing order so that the most recent samples are weighted most highly while the most distant samples contribute very little depending upon the smoothing parameter (λ).
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Foreword
Introduction
1 Scope
2 Normative references
3 Symbols and abbreviated terms
4 EWMA for inspection by variables
4.1 General
4.2 Weighted average explained
4.3 Control limits for EWMA control chart
4.4 Construction of EWMA control chart
4.5 Example
5 Choice of the control chart
5.1 Shewhart control chart versus EWMA control chart
5.2 Average run length
5.3 Choice of parameters for EWMA control chart
5.3.1 Choice of λ
5.3.2 Choice of Lz
5.3.3 Calculation for n
5.3.4 Example
6 Procedure for implementing the EWMA control chart
7 Sensitivity of the EWMA to non-normality
8 Advantages and limitations
8.1 Advantages
8.2 Limitations
Annex A (informative) Application of the EWMA control chart
Annex B (normative) EWMA control chart for controlling a proportion of nonconforming units
Annex C (normative) EWMA control charts for a number of nonconformities
Annex D (informative) Control chart effectiveness
Bibliography
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Foreword
Introduction
1 Scope
2 Normative references
3 Symbols and abbreviated terms
4 EWMA for inspection by variables
4.1 General
4.2 Weighted average explained
4.3 Control limits for EWMA control chart
4.4 Construction of EWMA control chart
4.5 Example
5 Choice of the control chart
5.1 Shewhart control chart versus EWMA control chart
5.2 Average run length
5.3 Choice of parameters for EWMA control chart
5.3.1 Choice of λ
5.3.2 Choice of Lz
5.3.3 Calculation for n
5.3.4 Example
6 Procedure for implementing the EWMA control chart
7 Sensitivity of the EWMA to non-normality
8 Advantages and limitations
8.1 Advantages
8.2 Limitations
Annex A (informative) Application of the EWMA control chart
Annex B (normative) EWMA control chart for controlling a proportion of nonconforming units
Annex C (normative) EWMA control charts for a number of nonconformities
Annex D (informative) Control chart effectiveness
Bibliography