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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 33, 2001 - Issue 2
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Articles

On Estimating X̄ Control Chart Limits

Gunabushanam NedumaranSAS Institute, Inc., Cary, NC27513View further author information
&
Joseph J. Pignatiello Jr.Florida State University, Florida A & M University, Tallahassee, FL32310-6046View further author information
Pages 206-212 | Published online: 20 Feb 2018

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Mandla D. Diko, Rob Goedhart & Ronald J. M. M. Does. (2020) A head-to-head comparison of the out-of-control performance of control charts adjusted for parameter estimation. Quality Engineering 32:4, pages 643-652.
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XueLong Hu & Philippe Castagliola. (2019) A re-evaluation of the run rules xbar chart when the process parameters are unknown. Quality Technology & Quantitative Management 16:6, pages 696-725.
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X. L. Hu, P. Castagliola & A. A. Tang. (2019) Conditional design of the CUSUM median chart for the process position when process parameters are unknown. Journal of Statistical Computation and Simulation 89:13, pages 2468-2488.
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XueLong Hu, Philippe Castagliola, XiaoJian Zhou & AnAn Tang. (2019) Conditional design of the EWMA median chart with estimated parameters. Communications in Statistics - Theory and Methods 48:8, pages 1871-1889.
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Anan Tang, Philippe Castagliola, Xuelong Hu & Jinsheng Sun. (2019) The adaptive EWMA median chart for known and estimated parameters. Journal of Statistical Computation and Simulation 89:5, pages 844-863.
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Shih-Chou Kao. (2017) and R control charts based on weighted variance with left-right tail-weighted ratio for skewed distributions. Communications in Statistics - Simulation and Computation 46:4, pages 2714-2732.
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Philippe Castagliola, Pedro Carlos Oprime & Michael B. C. Khoo. (2017) The double sampling S2 chart with estimated process variance. Communications in Statistics - Theory and Methods 46:7, pages 3556-3573.
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Rob Goedhart, Marit Schoonhoven & Ronald J. M. M. Does. (2017) Guaranteed In-Control Performance for the Shewhart X and X Control Charts. Journal of Quality Technology 49:2, pages 155-171.
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Shu Wu, Philippe Castagliola & Michael B. C. Khoo. (2016) Run rules based phase II c and np charts when process parameters are unknown. Communications in Statistics - Theory and Methods 45:4, pages 1182-1197.
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Philippe Castagliola, Petros E. Maravelakis & Fernanda Otilia Figueiredo. (2016) The EWMA median chart with estimated parameters. IIE Transactions 48:1, pages 66-74.
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Nesma A. Saleh, Mahmoud A. Mahmoud, Matthew J. Keefe & William H. Woodall. (2015) The Difficulty in Designing Shewhart X̄ and X Control Charts with Estimated Parameters. Journal of Quality Technology 47:2, pages 127-138.
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Marit Schoonhoven, Muhammad Riaz & Ronald J. M. M. Does. (2011) Design and Analysis of Control Charts for Standard Deviation with Estimated Parameters. Journal of Quality Technology 43:4, pages 307-333.
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Changliang Zou, Chunguang Zhou, Zhaojun Wang & Fugee Tsung. (2007) A Self-Starting Control Chart for Linear Profiles. Journal of Quality Technology 39:4, pages 364-375.
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Willem Albers & WilbertC. M. Kallenberg. (2007) Shewhart Control Charts in New Perspective. Sequential Analysis 26:2, pages 123-151.
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Changliang Zou, Yujuan Zhang & Zhaojun Wang. (2006) A control chart based on a change-point model for monitoring linear profiles. IIE Transactions 38:12, pages 1093-1103.
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Willis A. Jensen, L. Allison Jones-Farmer, Charles W. Champ & William H. Woodall. (2006) Effects of Parameter Estimation on Control Chart Properties: A Literature Review. Journal of Quality Technology 38:4, pages 349-364.
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Subha Chakraborti. (2006) Parameter estimation and design considerations in prospective applications of the X¯ chart. Journal of Applied Statistics 33:4, pages 439-459.
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Willem Albers & Wilbert C. M. Kallenberg. (2004) Are estimated control charts in control? . Statistics 38:1, pages 67-79.
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Douglas M. Hawkins, Peihua Qiu & Chang Wook Kang. (2003) The Changepoint Model for Statistical Process Control. Journal of Quality Technology 35:4, pages 355-366.
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Articles from other publishers (22)

Arne Johannssen, Nataliya Chukhrova & Philippe Castagliola. (2022) The performance of the hypergeometric chart with estimated parameter . European Journal of Operational Research 296:3, pages 873-899.
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Huang Teng, Hu XueLong, Tang AnAn & Zhao Min. (2019) Evaluation of the Run Rules median chart with estimated parameters. Evaluation of the Run Rules median chart with estimated parameters.
XueLong Hu & Philippe Castagliola. (2017) Guaranteed conditional design of the median chart with estimated parameters. Quality and Reliability Engineering International 33:8, pages 1873-1884.
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Zhiyuan Chang & Jinsheng Sun. (2016) AEWMA t Control Chart for Short Production Runs. Journal of Systems Science and Information 4:5, pages 444-459.
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Aya A. Aly, Nesma A. Saleh, Mahmoud A. Mahmoud & William H. Woodall. (2015) A Reevaluation of the Adaptive Exponentially Weighted Moving Average Control Chart When Parameters are Estimated. Quality and Reliability Engineering International 31:8, pages 1611-1622.
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Philippe Castagliola, Shu Wu, Michael B. C. Khoo & S. Chakraborti. (2014) Synthetic Phase II Shewhart-type Attributes Control Charts When Process Parameters are Estimated. Quality and Reliability Engineering International 30:3, pages 315-335.
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Roberto da Costa Quinino, Linda Lee Ho & Anderson Laécio Galindo Trindade. (2014) Estimation in X-bar control charts: effects and corrections. The International Journal of Advanced Manufacturing Technology.
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Reza Baradaran Kazemzadeh, Mahdi Karbasian & Mohammad Ali Babakhani. (2012) An EWMA t chart with variable sampling intervals for monitoring the process mean. The International Journal of Advanced Manufacturing Technology 66:1-4, pages 125-139.
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Tom Burr, Michael S. Hamada, John Howell, Misha Skurikhin, Larry Ticknor & Brian Weaver. (2013) Estimating Alarm Thresholds for Process Monitoring Data under Different Assumptions about the Data Generating Mechanism. Science and Technology of Nuclear Installations 2013, pages 1-18.
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Philippe Castagliola, Giovanni Celano, Sergio Fichera & George Nenes. (2012) The variable sample size t control chart for monitoring short production runs. The International Journal of Advanced Manufacturing Technology.
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Majid Nili Ahmadabadi, Yaghub Farjami & Mohammad Bameni Moghadam. (2011) A process control method based on five-parameter generalized lambda distribution. Quality & Quantity 46:4, pages 1097-1111.
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PHILIPPE CASTAGLIOLA & SHU WU. (2012) DESIGN OF THE c AND np CHARTS WHEN THE PARAMETERS ARE ESTIMATED. International Journal of Reliability, Quality and Safety Engineering 19:02, pages 1250010.
Crossref
Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 87 155 .
Giovanni Celano, Philippe Castagliola, Enrico Trovato & Sergio Fichera. (2011) Shewhart and EWMA t control charts for short production runs . Quality and Reliability Engineering International 27:3, pages 313-326.
Crossref
Marit Schoonhoven, Muhammad Riaz & Ronald J. M. M. Does. (2009) Design schemes for the X̄ control chart. Quality and Reliability Engineering International 25:5, pages 581-594.
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Chunguang Zhou, Changliang Zou, Yujuan Zhang & Zhaojun Wang. (2007) Nonparametric control chart based on change-point model. Statistical Papers 50:1, pages 13-28.
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Willis A. Jensen, G. Rex Bryce & Marion R. Reynolds. (2008) Design issues for adaptive control charts. Quality and Reliability Engineering International 24:4, pages 429-445.
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Willem Albers & Wilbert C. M. Kallenberg. (2006) Self-adapting control charts. Statistica Neerlandica 60:3, pages 292-308.
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Willem Albers, W.C.M. Kallenberg & Sri Nurdiati. (2006) Data driven choice of control charts. Journal of Statistical Planning and Inference 136:3, pages 909-941.
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Tzong-Ru Tsai, Jyh-Jiuan Lin, Shuo-Jye Wu & Hung-Chia Lin. (2005) On estimating control limits of X ̄ chart when the number of subgroups is small. The International Journal of Advanced Manufacturing Technology 26:11-12, pages 1312-1316.
Crossref
Willem Albers, Wilbert C.M. Kallenberg & Sri Nurdiati. (2004) Parametric control charts. Journal of Statistical Planning and Inference 124:1, pages 159-184.
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B. He, M. Xie, T. N. Goh & P. Ranjan. (2012) On the Estimation Error in Zero-Inflated Poisson Model for Process Control. International Journal of Reliability, Quality and Safety Engineering 10:02, pages 159-169.
Crossref

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