An<i>X</i>and EWMA Chart for Individual Observations

Albin, Susan L.; Kang, Lan; Shea, Gerald

doi:10.1080/00224065.1997.11979723

Cited by 64 publications

(27 citation statements)

References 18 publications

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“…Albin et al 2 performed a similar analysis, but their conclusion differs from ours. As mentioned in the previous section, they investigated the virtue of adding a '2/3 opposite' rule (i.e.…”

Section: Performance Of the Runs Rule For Variationcontrasting

confidence: 33%

“…What they fail to note is that the lower bound of this probability is even larger in the in-control situation (namely 0.1350, see Table 2 in Adke and Hong 1 ), which leads to the awkward conclusion that the MR-chart is more likely to signal during a typical in-control run of observations than in a typical out-of-control run of observations. Albin et al 2 investigated the individuals X-chart in combination with runs rules, the MR-chart, amongst others. Based on ARL values they recommend not using complementary runs rules.…”

Section: Discussion Of Recent Literaturementioning

confidence: 99%

“…Another of Page's rules was studied by Albin et al 2 . They investigated the performance of a direct alternative to Rule 2: two out of three measurements in opposite warning zones.…”

Section: Rulementioning

confidence: 98%

“…• Adke and Hong 1 recommend a simple technique as 'an equivalent substitute for the MR-chart without the disadvantage of the MR-chart'; • Albin et al 2 advise to 'add the 2/3 opposite side run rule' (which is a modification of the MR-chart) 'if it is critical to detect smaller shifts in the standard deviation'; • Amin and Ethridge 3 'recommend the combined X-MR procedure to those practitioners who choose to use Shewhart-type control charts for individual measurements'.…”

Section: Introductionmentioning

confidence: 99%

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Individuals Charts and Additional Tests for Changes in Spread

Trip

Wieringa

2005

Quality & Reliability Eng

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A number of authors have indicated that it is not a good idea to use the moving range chart (MR-chart) with an individuals chart to detect shifts in the spread. However, the combination of these charts is still used in practice and even presented as 'best practice' in some cases. In addition, some more recent articles present arguments that justify the use of the additional MR-chart in specific situations. In this paper we investigate these arguments and add to the literature by providing two more reasons not to use the MR-chart. First, the merit of using an MR-chart has never been evaluated before in the context of runs rules. Earlier papers investigated the change in performance as a result of adding a MR-chart to a bare individuals chart. We show that relative to existing well-known runs rules, there is no advantage in using a close alternative to the MR-chart. Secondly, we investigate the suggestion of some of the proponents of the MR-chart that its weak performance is due to a bad design. We show that this is not the case. We evaluate the average run length performance of the combination of an individuals chart and a MR-chart under the most favorable circumstances for several out-of-control situations by optimizing the design of the two charts for each situation. Our results show that even this 'best-case' performance of the combination is hardly better than that of the individuals chart alone. Copyright

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Section: Performance Of the Runs Rule For Variationcontrasting

confidence: 33%

Section: Discussion Of Recent Literaturementioning

confidence: 99%

“…Another of Page's rules was studied by Albin et al 2 . They investigated the performance of a direct alternative to Rule 2: two out of three measurements in opposite warning zones.…”

Section: Rulementioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Individuals Charts and Additional Tests for Changes in Spread

Trip

Wieringa

2005

Quality & Reliability Eng

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“…One possible treatment is to combine multiple charts to take care shifts in all ranges. For example, applying Shewhart control limits to EWMA or CUSUM charts to detect both large and small shifts (Lucas (1982), Albin et al (1997), Chih-Min et al (2000), Reynolds and Stoumbos (2005)). …”

Section: Detecting Unknown or Mixed-range Shiftsmentioning

confidence: 99%

Adaptive Charting Techniques: Literature Review and Extensions

Tsung

Wang

2010

Frontiers in Statistical Quality Control 9

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Summary. The continuous development of SPC is driven by challenges arising from practical applications across diverse industries. Among others, adaptive charts are becoming more and more popular due to their capability in tackling these challenges by learning unknown shifts and tracking time-varying patterns. This chapter reviews recent development of adaptive charts and classifies them into two categories: those with variable sampling parameters and those with variable design parameters. This review focuses on the latter group and compares their charting performance. As an extension to conventional multivariate charts, this work proposes a double-sided directionally variant chart. The proposed chart is capable of detecting shifts having the same or opposite directions as the reference vector and is more robust to processes with unpredictable shift directions.

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