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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 32, 2000 - Issue 1
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Articles

A Synthetic Control Chart for Detecting Small Shifts in the Process Mean

Zhang WuNanyang Technology University, Singapore639798View further author information
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Trevor A. SpeddingNanyang Technology University, Singapore639798View further author information
Pages 32-38 | Published online: 20 Feb 2018

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Sajal Saha, Michael B. C. Khoo, Faijun Nahar Mim, Theam Foo Ng & Khai Wah Khaw. (2023) Side sensitive group runs t chart and its application in manufacturing. Communications in Statistics - Simulation and Computation 52:9, pages 4036-4051.
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Faijun Nahar Mim, Michael B. C. Khoo, Sajal Saha & Khai Wah Khaw. (2023) A side-sensitive group runs median control chart with measurement errors. Communications in Statistics - Simulation and Computation 52:4, pages 1660-1678.
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Nesma A. Saleh, Mahmoud A. Mahmoud, William H. Woodall & Sven Knoth. (2023) A review and critique of auxiliary information-based process monitoring methods. Quality Technology & Quantitative Management 20:1, pages 1-20.
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Mengmeng Zhan & Liping Liu. (2023) CUSUM control schemes for monitoring Wiener processes. Communications in Statistics - Simulation and Computation 52:1, pages 161-174.
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Gadre Mukund Parasharam & Nisha Padappa. (2022) Hybrid synthetic and group runs charts using alternating the charting statistic to monitor the mean vector of a multivariate process. Communications in Statistics - Theory and Methods 51:21, pages 7607-7630.
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Collen M. Motsepa, Jean-Claude Malela-Majika, Philippe Castagliola & Sandile C. Shongwe. (2022) A side-sensitive double sampling monitoring scheme with estimated process parameters. Communications in Statistics - Simulation and Computation 51:7, pages 3772-3808.
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Sotiris Bersimis, Subhabrata Chakraborti & Athanasios C. Rakitzis. (2022) Pattern detection in phase I monitoring using runs-based tests. Communications in Statistics - Simulation and Computation 0:0, pages 1-17.
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M. P. Gadre & V. C. Kakade. (2022) Sample based side sensitive group runs control chart to detect shifts in the process mean. Communications in Statistics - Simulation and Computation 51:1, pages 190-200.
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Sandile Charles Shongwe, Jean-Claude Malela-Majika & Philippe Castagliola. (2021) The new synthetic and runs-rules schemes to monitor the process mean of autocorrelated observations with measurement errors. Communications in Statistics - Theory and Methods 50:24, pages 5806-5835.
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Shashibhushan B. Mahadik, Dadasaheb G. Godase & W. L. Teoh. (2021) A two-sided SPRT control chart for process dispersion. Journal of Statistical Computation and Simulation 91:17, pages 3603-3614.
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Sandile Charles Shongwe, Jean-Claude Malela-Majika, Philippe Castagliola & Thapelo Molahloe. (2020) Side-sensitive synthetic and runs-rules charts for monitoring AR(1) processes with skipping sampling strategies. Communications in Statistics - Theory and Methods 49:17, pages 4248-4269.
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Nirpeksh Kumar & Ranjeet K. Singh. (2020) A comparative study of ANI- and ARL-unbiased geometric and CCC control charts. Sequential Analysis 39:3, pages 399-416.
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Wenhui Zhou, Na Liu & Zhibin Zheng. (2020) A synthetic control chart for monitoring the small shifts in a process mean based on an attribute inspection. Communications in Statistics - Theory and Methods 49:9, pages 2189-2204.
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Mohammad Shamsuzzaman, Salah Haridy, Imad Alsyouf & Abdur Rahim. (2020) Design of economic X̄ chart for monitoring electric power loss through transmission and distribution system. Total Quality Management & Business Excellence 31:5-6, pages 503-523.
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S. Chakraborti & M. A. Graham. (2019) Nonparametric (distribution-free) control charts: An updated overview and some results. Quality Engineering 31:4, pages 523-544.
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Ming Ha Lee & Michael B. C. Khoo. (2019) The economic and economic statistical designs of synthetic double sampling chart. Communications in Statistics - Simulation and Computation 48:8, pages 2313-2332.
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Muhammad Ali Raza, Tahir Nawaz & Dong Han. (2019) On designing new optimal synthetic Tukey’s control charts. Journal of Statistical Computation and Simulation 89:12, pages 2218-2238.
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Quoc Thong Nguyen, Kim Phuc Tran, Philippe Castagliola, Giovanni Celano & Salim Lardjane. (2019) One-sided synthetic control charts for monitoring the multivariate coefficient of variation. Journal of Statistical Computation and Simulation 89:10, pages 1841-1862.
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Sandile C. Shongwe & Marien A. Graham. (2019) Some theoretical comments regarding the run-length properties of the synthetic and runs-rules monitoring schemes – part 1: zero-state. Quality Technology & Quantitative Management 16:2, pages 170-189.
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Abdul Haq. (2018) A new adaptive EWMA control chart using auxiliary information for monitoring the process mean. Communications in Statistics - Theory and Methods 47:19, pages 4840-4858.
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Qiang Wan, Yongzhong Wu, Wenhui Zhou & Xiaohong Chen. (2018) Economic design of an integrated adaptive synthetic chart and maintenance management system. Communications in Statistics - Theory and Methods 47:11, pages 2625-2642.
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Sandile C. Shongwe & Marien A. Graham. (2018) A modified side-sensitive synthetic chart to monitor the process mean. Quality Technology & Quantitative Management 15:3, pages 328-353.
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Ming Ha Lee & Michael B. C. Khoo. (2018) Economic-statistical design of synthetic max chart. Quality Technology & Quantitative Management 15:3, pages 301-327.
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Abdul Haq & Michael B. C. Khoo. (2018) A new double sampling control chart for monitoring process mean using auxiliary information. Journal of Statistical Computation and Simulation 88:5, pages 869-899.
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Yuan Cheng, Lirong Sun & Baocai Guo. (2018) Phase II synthetic exponential charts and effect of parameter estimation. Quality Technology & Quantitative Management 15:1, pages 125-142.
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S.C. Shongwe & M.A. Graham. (2017) A letter to the editor about “Machado, M.A.G. and Costa A.F.B. (2014), some comments regarding the synthetic chart. Communications in Statistics---Theory and Methods, 43(14), 2897–2906”. Communications in Statistics - Theory and Methods 46:21, pages 10476-10480.
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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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Zhi Lin Chong, Michael B. C. Khoo, Ming Ha Lee & Chung-Ho Chen. (2017) Group runs revised m-of-k runs rule control chart. Communications in Statistics - Theory and Methods 46:14, pages 6916-6935.
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Ming Ha Lee & Michael B. C. Khoo. (2017) Synthetic double sampling s chart. Communications in Statistics - Theory and Methods 46:12, pages 5914-5931.
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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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Abdul Haq & Michael B.C. Khoo. (2016) A new synthetic control chart for monitoring process mean using auxiliary information. Journal of Statistical Computation and Simulation 86:15, pages 3068-3092.
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X.L. Hu, P. Castagliola, J.S. Sun & M.B.C. Khoo. (2016) Economic design of the upper-sided synthetic chart with measurement errors. International Journal of Production Research 54:19, pages 5651-5670.
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Wai Chung Yeong, Michael B. C. Khoo, M. Shamsuzzaman & Philippe Castagliola. (2016) Sensitivity Analyses of the Economic and Economic Statistical Designs of the Multivariate Synthetic T Chart. Communications in Statistics - Simulation and Computation 45:7, pages 2541-2561.
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Michael B. C. Khoo, Philippe Castagliola, J. Y. Liew, W. L. Teoh & Petros E. Maravelakis. (2016) A Study on EWMA charts with runs rules—the Markov chain approach. Communications in Statistics - Theory and Methods 45:14, pages 4156-4180.
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Sven Knoth. (2016) The Case Against the Use of Synthetic Control Charts. Journal of Quality Technology 48:2, pages 178-195.
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Michael B.C. Khoo, Eng Keng Tan, Zhi Lin Chong & Salah Haridy. (2015) Side-sensitive group runs double sampling (SSGRDS) chart for detecting mean shifts. International Journal of Production Research 53:15, pages 4735-4753.
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Ming Ha Lee & Michael B. C. Khoo. (2015) Multivariate Synthetic |S| Control Chart with Variable Sampling Interval. Communications in Statistics - Simulation and Computation 44:4, pages 924-942.
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Salah Haridy, Zhang Wu, Kazem Abhary, Philippe Castagliola & Mohammad Shamsuzzaman. (2014) Development of a multiattribute synthetic-np chart. Journal of Statistical Computation and Simulation 84:9, pages 1884-1903.
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Marcela A. G. Machado & Antonio F. B. Costa. (2014) Some Comments Regarding the Synthetic Chart. Communications in Statistics - Theory and Methods 43:14, pages 2897-2906.
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Liang Qu, Zhang Wu, Michael B. C. Khoo & Abdur Rahim. (2014) Time-Between-Event Control Charts for Sampling Inspection. Technometrics 56:3, pages 336-346.
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Marcela A.G. Machado & Antonio F.B. Costa. (2014) A side-sensitive synthetic chart combined with an chart. International Journal of Production Research 52:11, pages 3404-3416.
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MingHa Lee & MichaelB. C. Khoo. (2014) The Synthetic Mean Square Error Control Chart. Communications in Statistics - Simulation and Computation 43:6, pages 1523-1542.
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Wai Chung Yeong, MichaelB. C. Khoo, M.H. Lee & M.A. Rahim. (2014) Economically Optimal Design of a Multivariate Synthetic T 2 Chart. Communications in Statistics - Simulation and Computation 43:6, pages 1333-1361.
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M.P. Gadre. (2014) A Multivariate Group Runs Control Chart for Process Dispersion. Communications in Statistics - Simulation and Computation 43:4, pages 813-837.
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Maria E. Calzada & Stephen M. Scariano. (2013) A synthetic control chart for the coefficient of variation. Journal of Statistical Computation and Simulation 83:5, pages 853-867.
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Yu-Ting Cheng, Chih-Ching Yang & Sou-Chein Wu. (2013) Optimal Variable Sample Size and Sampling Interval MSE Chart Based on Improved Square Root Transformation. Communications in Statistics - Simulation and Computation 42:3, pages 534-551.
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ShashibhushanB. Mahadik. (2012) Exact Results for Variable Sampling Interval Shewhart Control Charts with Runs Rules for Switching Between Sampling Interval Lengths. Communications in Statistics - Theory and Methods 41:24, pages 4453-4469.
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Ming Ha Lee. (2012) The Design of the Multivariate Synthetic Exponentially Weighted Moving Average Control Chart. Communications in Statistics - Simulation and Computation 41:10, pages 1785-1793.
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Michael B. C. Khoo, V.H. Wong, Zhang Wu & Philippe Castagliola. (2012) Optimal design of the synthetic chart for the process mean based on median run length. IIE Transactions 44:9, pages 765-779.
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Ying Zhang, Philippe Castagliola, Zhang Wu & MichaelB.C. Khoo. (2011) The synthetic [Xbar] chart with estimated parameters. IIE Transactions 43:9, pages 676-687.
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Zhang Wu, Yanjing Ou, Philippe Castagliola & Michael B.C. Khoo. (2010) A combined synthetic&X chart for monitoring the process mean. International Journal of Production Research 48:24, pages 7423-7436.
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M. P. Gadre, K. A. Joshi & R. N. Rattihalli. (2010) A side sensitive modified group runs control chart to detect shifts in the process mean. Journal of Applied Statistics 37:12, pages 2073-2087.
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Yafen Liu, Zhen He, M. Shamsuzzaman & Zhang Wu. (2010) A combined control scheme for monitoring the frequency and size of an attribute event. Journal of Applied Statistics 37:12, pages 1991-2013.
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MichaelB.C. Khoo, How Chinh Lee, Zhang Wu, Chung-Ho Chen & Philippe Castagliola. (2010) A synthetic double sampling control chart for the process mean. IIE Transactions 43:1, pages 23-38.
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S. K. Khilare & D. T. Shirke. (2010) A Nonparametric Synthetic Control Chart Using Sign Statistic. Communications in Statistics - Theory and Methods 39:18, pages 3282-3293.
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V. Y. Pawar & D. T. Shirke. (2010) A Nonparametric Shewhart-Type Synthetic Control Chart. Communications in Statistics - Simulation and Computation 39:8, pages 1493-1505.
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Antonio F. B. Costa, Maysa S. de Magalhães & Eugenio K. Epprecht. (2009) Monitoring the process mean and variance using a synthetic control chart with two-stage testing. International Journal of Production Research 47:18, pages 5067-5086.
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Philippe Castagliola & MichaelB. C. Khoo. (2009) A Synthetic Scaled Weighted Variance Control Chart for Monitoring the Process Mean of Skewed Populations. Communications in Statistics - Simulation and Computation 38:8, pages 1659-1674.
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MichaelB. C. Khoo, AbduM. A. Atta & Zhang Wu. (2009) A Multivariate Synthetic Control Chart for Monitoring the Process Mean Vector of Skewed Populations Using Weighted Standard Deviations. Communications in Statistics - Simulation and Computation 38:7, pages 1493-1518.
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Ewaryst Rafajłowicz & Ansgar Steland. (2009) A binary control chart to detect small jumps. Statistics 43:3, pages 295-311.
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Zhang Wu, Jianxin Jiao & Zhen He. (2009) A control scheme for monitoring the frequency and magnitude of an event. International Journal of Production Research 47:11, pages 2887-2902.
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StephenM. Scariano & MariaE. Calzada. (2009) The Generalized Synthetic Chart. Sequential Analysis 28:1, pages 54-68.
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Francisco Aparisi & MarcoA. de Luna. (2009) The Design and Performance of the Multivariate Synthetic-T 2 Control Chart. Communications in Statistics - Theory and Methods 38:2, pages 173-192.
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Patrick D. Bourke. (2008) Performance Comparisons for the Synthetic Control Chart for Detecting Increases in Fraction Nonconforming. Journal of Quality Technology 40:4, pages 461-475.
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Zhang Wu & Jianxin Jiao. (2008) A control chart for monitoring process mean based on attribute inspection. International Journal of Production Research 46:15, pages 4331-4347.
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C. D. Lai & K. Govindaraju. (2008) Reduction of control-chart signal variablity for high-quality processes. Journal of Applied Statistics 35:6, pages 671-679.
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V. B. Ghute & D. T. Shirke. (2008) A Multivariate Synthetic Control Chart for Monitoring Process Mean Vector. Communications in Statistics - Theory and Methods 37:13, pages 2136-2148.
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Sheng Zhang & Zhang Wu. (2006) Monitoring the process mean and variance using a weighted loss function CUSUM scheme with variable sampling intervals. IIE Transactions 38:4, pages 377-387.
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M. P. Gadre & R. N. Rattihalli. (2006) Modified Group Runs Control Charts to Detect Increases in Fraction Non Conforming and Shifts in the Process Mean. Communications in Statistics - Simulation and Computation 35:1, pages 225-240.
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William H Woodall & Mahmoud A Mahmoud. (2005) The Inertial Properties of Quality Control Charts. Technometrics 47:4, pages 425-436.
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M. P. Gadre & R. N. Rattihalli. (2005) Unit and Group-Runs Chart to Identify Increases in Fraction Nonconforming. Journal of Quality Technology 37:3, pages 199-209.
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Stephen M. Scariano & Maria E. Calzada. (2003) A Note on the Lower-Sided Synthetic Chart for Exponentials. Quality Engineering 15:4, pages 677-680.
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Zhenlin Yang, Min Xie, Vellaisamy Kuralmani & Kwok-Leung Tsui. (2002) On the Performance of Geometric Charts with Estimated Control Limits. Journal of Quality Technology 34:4, pages 448-458.
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Maria E. Calzada & Stephen M. Scariano. (2001) THE ROBUSTNESS OF THE SYNTHETIC CONTROL CHART TO NON-NORMALITY. Communications in Statistics - Simulation and Computation 30:2, pages 311-326.
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Shashibhushan B. Mahadik & Dadasaheb G. Godase. A two-sided SPRT control chart for process mean. Journal of Statistical Computation and Simulation 0:0, pages 1-13.
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