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Original Articles

Parameter estimation and design considerations in prospective applications of the X¯ chart

Pages 439-459 | Published online: 18 Aug 2006

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (22)

G. Hernández-Zamudio, V. Tercero-Gómez, W. J. Conover, L. Benavides-Vázquez & M. Beruvides. (2024) On the power and robustness of phase I nonparametric Shewhart-type charts using sequential normal scores. Journal of Industrial and Production Engineering 41:3, pages 276-305.
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Martin G. C. Sarmiento, Felipe S. Jardim, Subhabrata Chakraborti & Eugenio K. Epprecht. (2022) Design of variance control charts with estimated parameters: A head to head comparison between two perspectives. Journal of Quality Technology 54:3, pages 249-268.
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Pedro Carlos Oprime, Márcio Lopes Pimenta, Daniel Jugend & Roy Andersson. (2021) Financial impacts of innovation in Six Sigma projects. Total Quality Management & Business Excellence 32:7-8, pages 829-851.
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Nirpeksh Kumar. (2020) Conditional analysis of Phase II exponential chart for monitoring times to an event. Quality Technology & Quantitative Management 17:3, pages 285-306.
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Felipe S. Jardim, Subhabrata Chakraborti & Eugenio K. Epprecht. (2020) Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart. Journal of Quality Technology 52:2, pages 198-217.
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J. A. Garza-Venegas, V. G. Tercero-Gómez, L. Lee Ho, P. Castagliola & G. Celano. (2018) Effect of autocorrelation estimators on the performance of the X̄ control chart. Journal of Statistical Computation and Simulation 88:13, pages 2612-2630.
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Lorena D. Loureiro, Eugenio K. Epprecht, S. Chakraborti & Felipe S. Jardim. (2018) In-control performance of the joint Phase II − S control charts when parameters are estimated. Quality Engineering 30:2, pages 253-267.
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Alireza Faraz, Cédric Heuchenne & Erwin Saniga. (2018) An exact method for designing Shewhart and S2 control charts to guarantee in-control performance. International Journal of Production Research 56:7, pages 2570-2584.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal design of synthetic np control chart based on median run length. Communications in Statistics - Theory and Methods 46:17, pages 8544-8556.
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Rob Goedhart, Michele M. da Silva, Marit Schoonhoven, Eugenio K. Epprecht, Subha Chakraborti, Ronald J. M. M. Does & Álvaro Veiga. (2017) Shewhart control charts for dispersion adjusted for parameter estimation. IISE Transactions 49:8, pages 838-848.
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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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Ming Ha Lee & Michael B. C. Khoo. (2017) Optimal designs of multivariate synthetic |S| control chart based on median run length. Communications in Statistics - Theory and Methods 46:6, pages 3034-3053.
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Rob Goedhart, Marit Schoonhoven & Ronald J.M.M. Does. (2016) Correction factors for Shewhart and control charts to achieve desired unconditional ARL. International Journal of Production Research 54:24, pages 7464-7479.
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W. L. Teoh, Michael B. C. Khoo, Philippe Castagliola & M. H. Lee. (2016) The Exact Run Length Distribution and Design of the Shewhart Chart with Estimated Parameters Based on Median Run Length. Communications in Statistics - Simulation and Computation 45:6, pages 2081-2103.
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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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Eugenio K. Epprecht, Lorena D. Loureiro & S. Chakraborti. (2015) Effect of the Amount of Phase I Data on the Phase II Performance of S2 and S Control Charts. Journal of Quality Technology 47:2, pages 139-155.
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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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Min Zhang, Guohua Nie, Zhen He & Xuejun Hou. (2014) The Poisson INAR(1) one-sided EWMA chart with estimated parameters. International Journal of Production Research 52:18, pages 5415-5431.
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Jing-Er Chiu & Chih-Hsin Tsai. (2013) Properties and performance of one-sided cumulative count of conforming chart with parameter estimation in high-quality processes. Journal of Applied Statistics 40:11, pages 2341-2353.
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S. Chakraborti & S. T. Bakir. (2007) Letter to the Editor. Journal of Quality Technology 39:4, pages 389-390.
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Articles from other publishers (27)

Harold Manuel Madrid‐Alvarez, Juan Carlos García‐Díaz & Víctor G. Tercero‐Gómez. (2023) A CUSUM control chart for gamma distribution with guaranteed performance. Quality and Reliability Engineering International 40:3, pages 1279-1301.
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Subhabrata Chakraborti, Nirpeksh Kumar, Athanasios C. Rakitzis & Ross S. Sparks. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 13 .
Jing Wei Teoh, Wei Lin Teoh, Laila El-Ghandour, Zhi Lin Chong & Sin Yin Teh. 2023. Proceedings of the 9th International Conference on Computational Science and Technology. Proceedings of the 9th International Conference on Computational Science and Technology 449 463 .
J.W. Teoh, W.L. Teoh, Michael B.C. Khoo, Philippe Castagliola & W.H. Moy. (2022) On designing an optimal SPRT control chart with estimated process parameters under guaranteed in-control performance. Computers & Industrial Engineering 174, pages 108806.
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Yuhui Yao & Subhabrata Chakraborti. (2022) A phase II EWMA chart for the balanced one‐way random effects model. Quality and Reliability Engineering International 38:8, pages 3971-3991.
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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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Márcio Ricardo Morelli de Meira, Pedro Carlos Oprime & Ricardo Coser Mergulhão. (2022) Analysis of deviation from nominal control chart performance on short production runs. Production 32.
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Yuhui Yao & Subhabrata Chakraborti. (2021) Phase II process monitoring for the balanced one‐way random effects model. Quality and Reliability Engineering International 37:6, pages 2535-2554.
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XueLong Hu, AnAn Tang, YuLong Qiao, JinSheng Sun & BaoCai Guo. (2020) On the conditional performance of the synthetic chart with unknown process parameters using the exceedance probability criterion. PLOS ONE 15:10, pages e0239538.
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Cassio Eduardo Faria Sobue, Felipe Schoemer Jardim, Victor Claudio Bento Camargo, Fabiane Leticia Lizarelli & Pedro Carlos Oprime. (2020) Unconditional performance of the X¯ chart: Comparison among five standard deviation estimators. Quality and Reliability Engineering International 36:5, pages 1808-1819.
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Mandla D. Diko, Subha Chakraborti & Ronald J.M.M. Does. (2019) An alternative design of the two-sided CUSUM chart for monitoring the mean when parameters are estimated. Computers & Industrial Engineering 137, pages 106042.
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Pedro Carlos Oprime, Fabiane Leticia Lizarelli, Marcio Lopes Pimenta & Jorge Alberto Achcar. (2019) Acceptance X-bar chart considering the sample distribution of capability indices, C ˆ p and C ˆ p k. International Journal of Quality & Reliability Management 36:6, pages 875-894.
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Felipe S. Jardim, Subhabrata Chakraborti & Eugenio K. Epprecht. (2019) X¯ Chart with Estimated Parameters: The Conditional ARL Distribution and New Insights . Production and Operations Management 28:6, pages 1545-1557.
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Mandla D. Diko, Subha Chakraborti & Ronald J.M.M. Does. (2019) Guaranteed in‐control performance of the EWMA chart for monitoring the mean. Quality and Reliability Engineering International 35:4, pages 1144-1160.
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Nirpeksh Kumar & Amita Baranwal. (2019) Design and implementation of q th quantile‐unbiased t r ‐chart for monitoring times between events . Quality and Reliability Engineering International 35:4, pages 1061-1080.
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Subhabrata Chakraborti & Marien Alet Graham. 2019. Nonparametric Statistical Process Control. Nonparametric Statistical Process Control 413 424 .
Tilottama Chakraborty & Mrinmoy Majumder. (2017) Application of statistical charts, multi-criteria decision making and polynomial neural networks in monitoring energy utilization of wave energy converters. Environment, Development and Sustainability 21:1, pages 199-219.
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Pedro Carlos Oprime & Glauco Henrique de Sousa Mendes. (2017) The X -bar control chart with restriction of the capability indices . International Journal of Quality & Reliability Management 34:1, pages 38-52.
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Yoojin Lee & Jaeheon Lee. (2016) The effect of parameter estimation on <TEX>$\bar{X}$</TEX> charts based on the median run length. Journal of the Korean Data and Information Science Society 27:6, pages 1487-1498.
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Fabiane Letícia Lizarelli, Nayara Cristini Bessi, Pedro Carlos Oprime, Roniberto Morato do Amaral & Subhabrata Chakraborti. (2016) A bibliometric analysis of 50 years of worldwide research on statistical process control. Gestão & Produção 23:4, pages 853-870.
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Michele Maria da Silva, Eugenio Kahn Epprecht & Álvaro de Lima Veiga Filho. (2016) LIMITES DE CONTROLE AJUSTADOS PARA O GRÁFICO DE S COM PARÂMETRO ESTIMADO. LIMITES DE CONTROLE AJUSTADOS PARA O GRÁFICO DE S COM PARÂMETRO ESTIMADO.
M. D. Diko, S. Chakraborti & M. A. Graham. (2016) Monitoring the Process Mean When Standards Are Unknown: A Classic Problem Revisited. Quality and Reliability Engineering International 32:2, pages 609-622.
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Nirpeksh Kumar & Subhabrata Chakraborti. (2016) Phase II Shewhart-type Control Charts for Monitoring Times Between Events and Effects of Parameter Estimation. Quality and Reliability Engineering International 32:1, pages 315-328.
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Pedro Carlos Oprime, José Carlos de Toledo, Mario Orestes Aguirre González & S. Chakraborti. (2015) Método de estimativa dos limites da carta de controle não paramétrica que monitora simultaneamente a média e variância. Gestão & Produção 23:1, pages 146-164.
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Philippe Castagliola, Shu Wu, Michael B. C. Khoo & S. Chakraborti. (2013) 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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Saad T. Bakir. (2012) A Nonparametric Shewhart-Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution. International Journal of Quality, Statistics, and Reliability 2012, pages 1-10.
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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.
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