Control-Limits of QC Charts for Skewed Distributions Using Weighted-Variance

Choobineh, F.; Ballard, Jeffrey L.

doi:10.1109/tr.1987.5222442

Cited by 59 publications

(37 citation statements)

References 4 publications

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“…Yourstone and Zimmer [6] approximated the underlying distribution using the generalized Burr distribution with the estimated skewness and kurtosis of the sample average for the determination of control limits. Choobineh and Ballard [7] proposed a weighted variance (WV) method based on the semivariance approximation of Choobineh and Branting [8]. Bai and Choi [9] considered a WV method which modifies the method of Choobineh and Ballard [7].…”

Section: Introductionmentioning

confidence: 99%

Control charts for positively‐skewed populations with weighted standard deviations

Chang

Bai

2001

Quality & Reliability Eng

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SUMMARYThis paper proposes a heuristic method of constructingX, cumulative sum and exponentially weighted moving average control charts for skewed populations with weighted standard deviations obtained by decomposing the standard deviation into upper and lower deviations adjusted in accordance with the direction and degree of skewness. These control charts, however, reduce to standard control charts when the underlying distribution is symmetric. Simple formulae are derived to estimate unknown process parameters from means and ranges of subgroups. The false alarm rates of these control charts are compared with those of existing control charts when the underlying distribution is Weibull, gamma, or lognormal. Simulation results show that considerable improvement over the existing methods can be achieved when the underlying distribution is skewed.

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Section: Introductionmentioning

confidence: 99%

Control charts for positively‐skewed populations with weighted standard deviations

Chang

Bai

2001

Quality & Reliability Eng

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“…The second method investigated is the WV method proposed by [6]. The WV method decompose the skewed distribution into two parts at its mean and both parts are considered symmetric distributions which have the same mean and different standard deviation.…”

Section: Modified Methods Forx Control Chartmentioning

confidence: 99%

Robust X¯ Control Chart for Monitoring the Skewed and Contaminated Process

Karagöz¹

2016

HJMS

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In this paper, we propose the modified Shewhart, the modified weighted variance and the modified skewness correction methods by using trimmed mean and interquartile range estimators to construct the control limits of robustX control chart for monitoring the skewed and contaminated process. A comparison between the performances of theX chart for monitoring the process mean based on these three modified models is made in terms of the Type I risk probabilities and the average run length values for the various levels of skewness as well as different contamination models.

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“…The weighted variance method was first introduced by Choobineh and Ballard [7] to construct control charts when the underlying population is skewed and afterwards it was utilized by Bai and Choi [8] to adjust capability index values in order to account for the degree of skewness of non-normal process data [4]. Wu et al [9] have modified the original WV method used by Bai and Choi.…”

Section: Weighted Variance (Wv) Methodsmentioning

confidence: 99%

Performance comparison of box-cox transformation and weighted variance methods with weibull distribution

Şennaroğlu¹,

Şenvar²

2015

J Aeronaut Space Technol

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BOX-COX DÜNÜ ÜMÜ VE A IRLIKLI VARYANS YÖNTEMLER N N WEIBULL DA ILIMI LE PERFORMANSLARININ KAR ILA TIRILMASI ÖZET Standart proses yetenek indeksi, prosesin kalite özelli inin normal da ld varsay m na dayanarak hesaplan r. Fakat, kalite özelli inin da l m n n normal olmad pek çok durum vard r. Bu makalede, Weibull da lan kalite özelli i için proses yetenek indekslerinin hesaplanmas nda Box-Coxdünü ümü yöntemi ve

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Control-Limits of QC Charts for Skewed Distributions Using Weighted-Variance

Cited by 59 publications

References 4 publications

Control charts for positively‐skewed populations with weighted standard deviations

Control charts for positively‐skewed populations with weighted standard deviations

Robust X¯ Control Chart for Monitoring the Skewed and Contaminated Process

Performance comparison of box-cox transformation and weighted variance methods with weibull distribution

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