Hotelling’s T2 control chart with double warning lines

Faraz, Alireza; Parsian, Ahmad

doi:10.1007/s00362-006-0307-x

Cited by 30 publications

(20 citation statements)

References 28 publications

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“…When the process is out of control with shift d ≠ 0, hence we have β = P (T 2 < UCL| d ≠ 0) (Faraz & Moghadam, 2009:904). Faraz and Parsian (2006) suggested that schemes result in more rapid detection of lack of control and hence, reduce the ass.ccsenet.org Asian Social Science Vol. 14, No.…”

Section: Hotelling's T 2 Quality Control Chartmentioning

confidence: 99%

Multivariate Statistical Quality Control Based on Ranked Set Sampling

Eygü

Özçomak²

2017

ASS

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The sample of the study was formed using simple random sampling, ranked set sampling, extreme ranked set sampling and median ranked set sampling. At the end of this process, the researcher created Hotelling's T 2 control charts, a multivariate statistical process control method. The performances of SRS, RSS, ERSS and MRSS sampling methods were compared to one another using these control charts. A simulation was performed to see the average run-length values for Hotelling's T 2 control charts, and these findings were also used for the comparison of the sampling performances.At the end of the study, the researcher formed a sample using median ranked set sampling and created the Hotelling's T 2 control chart. As a result of this operation, the researcher found that there was an out-of-control signal in the process, while there was no such signal in other sampling methods. When the average run-length values obtained from Hotelling's T 2 control charts were compared, it was seen that a shift in the process was detected by the ranked set sampling earlier, when compared to other sampling methods. This paper it can be said that the methods used are unique to the literature because they are applied to multivariate data.

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Section: Hotelling's T 2 Quality Control Chartmentioning

confidence: 99%

Multivariate Statistical Quality Control Based on Ranked Set Sampling

Eygü

Özçomak²

2017

ASS

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“…Quality control problems in industry may involve more than a single quality characteristic, i.e., a vector of characteristics. This has formed the basis of extensive work in the multivariate quality control (Faraz and Parsian 2006). A common multivariate control chart is the Hotelling's (1947) T 2 control chart.…”

Section: Introductionmentioning

confidence: 99%

“…If the process is out of control, the chart statistic is distributed as a non-central F distribution with p and v degrees of freedom and non-centrality parameter η = nd 2 . We denote in-control state with d = 0 (Faraz and Parsian 2006).…”

Section: Introductionmentioning

confidence: 99%

“…The statistical design of the VSS T 2 control chart is studied by Aparisi (1996) and Faraz and Moghadam (2008). Aparisi and Haro (2001) and Faraz et al (2010) extended the VSI scheme to the T 2 control chart and finally the properties of the VSSVSI T 2 is studied by Aparisi and Haro (2003) and Faraz and Parsian (2006). In statistically designing the VSSVSI T 2 control scheme, Faraz and Parsian (2006) gained from double warning lines (DWL) and with a comparison between all possible variable ration sampling (VRS) T 2 control charts showed that the proposed DWL scheme results in more rapid detection of lack of control situations and hence is superior to other mentioned schemes.…”

Section: Introductionmentioning

confidence: 99%

“…The paper is organized as follows: In Sect. 2 the DWL T 2 control scheme proposed by Faraz and Parsian (2006) is briefly reviewed and upon the Markov chain approach, the cost model is constructed. Section 3 provides an illustrative example taken from Costa and Rahim (2001) and Chen (2006a) to make a comparison between the FRS, VSS, VSI, VSSVSI and the DWL schemes.…”

Section: Introductionmentioning

confidence: 99%

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On the advantages of economically designed the Hotelling’s T2 control chart with variable sample sizes and sampling intervals

et al. 2010

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Optimal T² Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart

Faraz

Heuchenne

Saniga

2011

Quality & Reliability Eng

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Recent studies have shown that a double sampling (DS) scheme yields improvements in detection times of process shifts over variable ratio sampling (VRS) methods that have been extensively studied in the literature. Additionally, a DS scheme is more practical than some of the VRS methods since the sampling interval is fixed. In this paper, we investigate the effect of double sampling on cost, a criterion as important as detection rate. We study economic statistical design of the DS T2 chart (ESD DS T2) so that designs are found that are economically optimal but yet meet desired statistical properties such as having low probabilities of false searches and high probabilities of rapid detection of process shifts. Through an illustrative example, we show that relatively large benefits can be achieved in a comparison with the classical T2 chart and the statistical DS T2 charts with our ESD DS T2 approach. Furthermore, the economic performance of the ESD DS T2 charts is favorably compared to the MEWMA and other VRS T2 control charts in the literature. Copyright © 2011 John Wiley & Sons, Ltd.

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Hotelling’s T2 control chart with double warning lines

Cited by 30 publications

References 28 publications

Multivariate Statistical Quality Control Based on Ranked Set Sampling

Multivariate Statistical Quality Control Based on Ranked Set Sampling

On the advantages of economically designed the Hotelling’s T2 control chart with variable sample sizes and sampling intervals

Optimal T² Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart

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Hotelling’s T2 control chart with double warning lines

Cited by 30 publications

References 28 publications

Multivariate Statistical Quality Control Based on Ranked Set Sampling

Multivariate Statistical Quality Control Based on Ranked Set Sampling

On the advantages of economically designed the Hotelling’s T2 control chart with variable sample sizes and sampling intervals

Optimal T2 Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart

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Product

Resources

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Optimal T² Control Chart with a Double Sampling Scheme – An Alternative to the MEWMA Chart