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Communications in Statistics - Simulation and Computation Volume 34, 2005 - Issue 4
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Statistical Quality Control

An Examination of the Robustness to Non Normality of the EWMA Control Charts for the Dispersion

Petros E. Maravelakis Department of Statistics, Athens University of Economics and Business, Athens, Greece
,
John Panaretos Department of Statistics, Athens University of Economics and Business, Athens, GreeceCorrespondence[email protected]
&
Stelios Psarakis Department of Statistics, Athens University of Economics and Business, Athens, Greece
Pages 1069-1079 | Received 03 Jun 2004, Accepted 17 Jun 2005, Published online: 15 Feb 2007

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Z. L. Chong, K. L. Tan, Michael B. C. Khoo, W. L. Teoh & P. Castagliola. (2022) Optimal designs of the exponentially weighted moving average (EWMA) median chart for known and estimated parameters based on median run length. Communications in Statistics - Simulation and Computation 51:7, pages 3660-3684.
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Muhammad Aslam, G. Srinivasa Rao, Liaquat Ahmad & Chi-Hyuck Jun. (2022) A new control chart using GINI CPK. Communications in Statistics - Theory and Methods 51:1, pages 197-211.
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Anan Tang, Philippe Castagliola, Jinsheng Sun & Xuelong Hu. (2019) Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length. Quality Technology & Quantitative Management 16:4, pages 439-458.
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Siow Yin Nyau, Ming Ha Lee & M. L. Dennis Wong. (2017) Optimal statistical design of variable sample size multivariate exponentially weighted moving average control chart based on median run-length. Quality Technology & Quantitative Management 14:4, pages 478-495.
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Muhammad Abid, Hafiz Zafar Nazir, Muhammad Riaz & Zhengyan Lin. (2016) Use of ranked set sampling in nonparametric control charts. Journal of the Chinese Institute of Engineers 39:5, pages 627-636.
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Muhammad Riaz. (2015) A sensitive non-parametric EWMA control chart. Journal of the Chinese Institute of Engineers 38:2, pages 208-219.
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Saddam Akber Abbasi & Arden Miller. (2013) MDEWMA chart: an efficient and robust alternative to monitor process dispersion. Journal of Statistical Computation and Simulation 83:2, pages 247-268.
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S. W. Human, P. Kritzinger & S. Chakraborti. (2011) Robustness of the EWMA control chart for individual observations. Journal of Applied Statistics 38:10, pages 2071-2087.
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Yu-Chang Lin & Chao-Yu Chou. (2011) Robustness of the EWMA and the combined X¯–EWMA control charts with variable sampling intervals to non-normality. Journal of Applied Statistics 38:3, pages 553-570.
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Saddam Akber Abbasi. (2010) On the Performance of EWMA Chart in the Presence of Two-Component Measurement Error. Quality Engineering 22:3, pages 199-213.
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Chau-Chen Torng, Chun-Chieh Tseng & Pei-Hsi Lee. (2010) Non-normality and combined double sampling and variable sampling interval control charts. Journal of Applied Statistics 37:6, pages 955-967.
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Chau-Chen Torng & Pei-Hsi Lee. (2009) The Performance of Double Sampling Control Charts Under Non Normality. Communications in Statistics - Simulation and Computation 38:3, pages 541-557.
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Ji Ying Liu, Min Xie, Thong Ngee Goh & L. Y. Chan. (2007) A study of EWMA chart with transformed exponential data. International Journal of Production Research 45:3, pages 743-763.
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Peh Sang Ng, Wai Chung Yeong, Sajal Saha, Sok Li Lim & Wai Kwan Lau. (2024) Auxiliary information based HEWMA chart using variable sampling interval. Quality & Quantity.
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Mohammad M. Hamasha, Mohammed S. Obeidat, Khalid Alzoubi, Ghada Shawaheen, Ahmad Mayyas, Hesham A. Almomani, Akram Al-Sukkar & Adnan Mukkatash. (2023) Symmetry of gamma distribution data about the mean after processing with EWMA function. Scientific Reports 13:1.
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Mediha Maqsood, Aamir Sanaullah, Yasar Mahmood, Afrah Yahya Al-Rezami & Manal Z. M. Abdalla. (2023) Efficient control chart-based monitoring of scale parameter for a process with heavy-tailed non-normal distribution. AIMS Mathematics 8:12, pages 30075-30101.
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Nasir Abbas, Shabbir Ahmad & Muhammad Riaz. (2022) Reintegration of auxiliary information based control charts. Computers & Industrial Engineering 171, pages 108479.
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Noureen Akhtar, Muhammad Abid, Muhammad Wasim Amir, Zameer Abbas, Hafiz Zafar Nazir, Zeeshan Raza & Muhammad Riaz. (2021) Design and analysis of exponentially weighted moving average control charts for monitoring the variability of log‐normal processes with estimated parameters. Quality and Reliability Engineering International 38:4, pages 1590-1611.
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Mohammad M. Hamasha, Haneen Ali, Sa'd Hamasha & Abdulaziz Ahmed. (2022) Ultra-fine transformation of data for normality. Heliyon 8:5, pages e09370.
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Saddam Akber Abbasi, Sara Hussam Nassar, Mashael Mohammed Aldosari & Olatunde A. Adeoti. (2021) Efficient homogeneously weighted dispersion control charts with an application to distillation process. Quality and Reliability Engineering International 37:8, pages 3221-3241.
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K Petcharat. (2021) Nonparametric Double EWMA Control Charts based on Mood Statistic for Process Variability. Journal of Physics: Conference Series 2014:1, pages 012008.
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Wai Chung Yeong, Sok Li Lim, Michael Boon Chong Khoo, Khai Wah Khaw & Peh Sang Ng. (2020) An Optimal Design of the Synthetic Coefficient of Variation Chart Based on the Median Run Length. International Journal of Reliability, Quality and Safety Engineering 28:03, pages 2150018.
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Sheikh Y. Arafat, M. Pear Hossain, Jimoh Olawale Ajadi & Muhammad Riaz. (2021) On the Development of EWMA Control Chart for Inverse Maxwell Distribution. Journal of Testing and Evaluation 49:2, pages 1086-1103.
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Saowanit Sukparungsee, Yupaporn Areepong & Rattikarn Taboran. (2020) Exponentially weighted moving average—Moving average charts for monitoring the process mean. PLOS ONE 15:2, pages e0228208.
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Muhammad Abid, Hafiz Zafar Nazir, Muhammad Tahir, Muhammad Riaz & Tahir Abbas. (2020) A Comparative Analysis of Robust Dispersion Control Charts with Application Related to Health Care Data. Journal of Testing and Evaluation 48:1, pages 247-259.
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Hafiz Zafar Nazir, Tahir Hussain, Noureen Akhtar, Muhammad Abid & Muhammad Riaz. (2019) Robust adaptive exponentially weighted moving average control charts with applications of manufacturing processes. The International Journal of Advanced Manufacturing Technology 105:1-4, pages 733-748.
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W. L. Teoh, J. Y. Lim, Michael B. C. Khoo, Z. L. Chong & W. C. Yeong. (2019) Optimal Designs of EWMA Charts for Monitoring the Coefficient of Variation Based on Median Run Length and Expected Median Run Length. Journal of Testing and Evaluation 47:1, pages 459-479.
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Nurudeen A. Adegoke, Adam N. H. Smith, Marti J. Anderson, Ridwan Adeyemi Sanusi & Matthew D. M. Pawley. (2019) Efficient Homogeneously Weighted Moving Average Chart for Monitoring Process Mean Using an Auxiliary Variable. IEEE Access 7, pages 94021-94032.
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Inez M. Zwetsloot & Jimoh Olawale Ajadi. (2019) A comparison of EWMA control charts for dispersion based on estimated parameters. Computers & Industrial Engineering 127, pages 436-450.
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Muhammad Abid, Hafiz Zafar Nazir, Muhammad Riaz & Zhengyan Lin. (2017) In-control robustness comparison of different control charts. Transactions of the Institute of Measurement and Control 40:13, pages 3860-3871.
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Olatunde Adebayo Adeoti. (2018) A new double exponentially weighted moving average control chart using repetitive sampling. International Journal of Quality & Reliability Management 35:2, pages 387-404.
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Mansour Sattam Aldosari, Muhammad Aslam, Nasrullah Khan, Liaquat Ahmad & Chi-Hyuck Jun. (2018) A New S 2 Control Chart Using Multiple Dependent State Repetitive Sampling . IEEE Access 6, pages 49224-49236.
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W. L. Teoh, J. K. Chong, M. B. C. Khoo, P. Castagliola & W. C. Yeong. (2016) Optimal Designs of the Variable Sample Size Chart Based on Median Run Length and Expected Median Run Length. Quality and Reliability Engineering International 33:1, pages 121-134.
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Muhammad Riaza & Saddam Akber Abbasib. (2016) Nonparametric Double EWMA Control Chart for Process Monitoring. Revista Colombiana de Estadística 39:2, pages 167.
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R. Noorossana, S. Fathizadan & M. R. Nayebpour. (2016) EWMA Control Chart Performance with Estimated Parameters under Non-normality. Quality and Reliability Engineering International 32:5, pages 1637-1654.
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Saddam Akber Abbasi. (2016) Exponentially Weighted Moving Average Chart and Two-Component Measurement Error. Quality and Reliability Engineering International 32:2, pages 499-504.
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Liaquat AHMAD, Muhammad ASLAM, Arif, O.H & Chi-Hyuck JUN. (2016) Dispersion chart for some popular distributions under repetitive sampling. Journal of Advanced Mechanical Design, Systems, and Manufacturing 10:4, pages JAMDSM0058-JAMDSM0058.
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Saddam Akber Abbasi, Muhammad Riaz, Arden Miller, Shabbir Ahmad & Hafiz Zafar Nazir. (2014) EWMA Dispersion Control Charts for Normal and Non‐normal Processes. Quality and Reliability Engineering International 31:8, pages 1691-1704.
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Qurat‐Ul‐Ain Khaliq, Muhammad Riaz & Farrokh Alemi. (2014) Performance of Tukey's and Individual/Moving Range Control Charts. Quality and Reliability Engineering International 31:6, pages 1063-1077.
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Hai Yu Wang. (2014) Comparing Robustness of EWMA Dispersion Control Chart for Non-Normal Process. Advanced Materials Research 912-914, pages 1189-1192.
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Saddam Akber Abbasi, Arden Miller & Muhammad Riaz. (2012) Nonparametric Progressive Mean Control Chart for Monitoring Process Target. Quality and Reliability Engineering International 29:7, pages 1069-1080.
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Wei Lin Teoh, Michael B. C. Khoo & Sin Yin Teh. (2013) Optimal Designs of the Median Run Length Based Double Sampling X̄ Chart for Minimizing the Average Sample Size. PLoS ONE 8:7, pages e68580.
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Wei Lin Teoh & Michael B. C. Khoo. (2012) Optimal Design of the Double Sampling X Chart Based on Median Run Length. International Journal of Chemical Engineering and Applications, pages 303-306.
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Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 261 307 .
Saddam Akber Abbasi & Arden Miller. 2011. Electrical Engineering and Applied Computing. Electrical Engineering and Applied Computing 431 443 .
Hidetoshi Murakami & Takashi Matsuki. (2009) A nonparametric control chart based on the Mood statistic for dispersion. The International Journal of Advanced Manufacturing Technology 49:5-8, pages 757-763.
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Hong-Choon Ong & Poh-Ying Lim. (2009) Effects of Heavy Tailed Distribution on Statistical and Neural Network Based Control Charts. Effects of Heavy Tailed Distribution on Statistical and Neural Network Based Control Charts.
K. Triantafyllopoulos. (2006) Multivariate Control Charts Based on Bayesian State Space Models. Quality and Reliability Engineering International 22:6, pages 693-707.
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