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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 23, 1991 - Issue 3
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Articles

False Signal Rates for the Shewhart Control Chart with Supplementary Runs Tests

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Pages 247-252 | Published online: 21 Feb 2018

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Zahra Jalilibal, Mohammad Hassan Ahmadi Karavigh, Amirhossein Amiri & Michael B. C. Khoo. (2023) Run rules schemes for statistical process monitoring: a literature review. Quality Technology & Quantitative Management 20:1, pages 21-52.
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Keith A. Britt, Brenda Ramírez & Tom Mistretta. (2016) Process monitoring using statistical stability metrics: Applications to biopharmaceutical processes. Quality Engineering 28:2, pages 193-211.
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Susanta Kumar Gauri. (2011) Globally applicable control chart for online monitoring of stability of process mean. Journal of Statistical Computation and Simulation 81:12, pages 1847-1869.
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David Griffiths, Martin Bunder, Chandra Gulati & Takeo Onizawa. (2010) The Probability of an Out of Control Signal from Nelson's Supplementary Zig-Zag Test. Journal of Statistical Theory and Practice 4:4, pages 609-615.
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Susanta Kumar Gauri. (2010) A test for suitability of the preliminary samples for constructing control limits of X¯ chart. Journal of Statistical Computation and Simulation 80:6, pages 689-705.
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B. Fournier, N. Rupin, M. Bigerelle, D. Najjar & A. Iost. (2007) Comments on the Mixture Detection Rule Used in SPC Control Charts. Communications in Statistics - Simulation and Computation 36:6, pages 1321-1331.
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C. Yang, S.-K. Tse & G. Li. (2006) False Signal Rates for the (X) Control Charts with Runs Tests When Process Parameters Are Estimated. Communications in Statistics - Simulation and Computation 35:4, pages 1045-1056.
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Galit Shmueli & Ayala Cohen. (2003) Run-Length Distribution for Control Charts with Runs and Scans Rules. Communications in Statistics - Theory and Methods 32:2, pages 475-495.
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William H. Woodall. (2000) Controversies and Contradictions in Statistical Process Control. Journal of Quality Technology 32:4, pages 341-350.
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Dan Trietsch & FrankK. Hwang. (1997) NOTES ON PATTERN TESTS FOR SPECIAL CAUSES. Quality Engineering 9:3, pages 467-477.
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H. BRIAN HWARNG. (1997) A neural network approach to identifying cyclic behaviour on control charts: a comparative study. International Journal of Systems Science 28:1, pages 99-112.
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Cynthia A. Lowry, Charles W. Champ & William H. Woodall. (1995) The performance of control charts for monitoring process variation. Communications in Statistics - Simulation and Computation 24:2, pages 409-437.
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WilliamH. Woodall. (1992) SPC and Continuous Improvement. Technometrics 34:1, pages 100-101.
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Articles from other publishers (26)

Naveenganesh Muralidharan, Thatsinee Johnson, Leyla Rose & Mark Davis. (2024) CPV Monitoring - Optimization of Control Chart Design by Reducing the False Alarm Rate and Nuisance Signal. Science Journal of Applied Mathematics and Statistics 12:2, pages 20-28.
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Víctor Brito Quinino, Linda L. Ho, Frederico R. B. Cruz & Roberto C. Quinino. (2023) A simple procedure to improve the performance of Klein's 2‐of‐2 run rule in the Shewhart X¯$\bar{X}$ control chart. Quality and Reliability Engineering International 39:7, pages 3014-3029.
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Linda Lee Ho, Roberto Costa Quinino, Fidel Henrique Fernandes & Marcelo Bourguignon. (2021) Klein's supplementary runs rules on X¯$\overline{X}$ chart to control the mean of a Weibull random variable. Quality and Reliability Engineering International 38:4, pages 1750-1759.
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Amitava Mitra. 2021. Fundamentals of Quality Control and Improvement. Fundamentals of Quality Control and Improvement 285 310 .
Henry H. Bi. (2017) Multi-criterion and multi-period performance benchmarking of products and services. Benchmarking: An International Journal 24:4, pages 934-972.
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Jeroen Mast. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Francis B. Alt & Scott D. Grimshaw. 2013. Encyclopedia of Operations Research and Management Science. Encyclopedia of Operations Research and Management Science 1215 1227 .
Susanta Kumar Gauri. (2011) Improved feature-based test statistic for assessing suitability of the preliminary samples for constructing control limits of $$ \bar{X} $$ chart. The International Journal of Advanced Manufacturing Technology 58:9-12, pages 1171-1187.
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A. De Vries & J. K. Reneau. (2010) Application of statistical process control charts to monitor changes in animal production systems1. Journal of Animal Science 88:suppl_13, pages E11-E24.
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Tae‐Jin Lim & Moonsoo Cho. (2009) Design of control charts with m ‐of‐ m runs rules . Quality and Reliability Engineering International 25:8, pages 1085-1101.
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Amitava Mitra. 2008. Fundamentals of Quality Control and Improvement. Fundamentals of Quality Control and Improvement 263 288 .
Jeroen De Mast. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
M. V. Koutras, S. Bersimis & P. E. Maravelakis. (2007) Statistical Process Control using Shewhart Control Charts with Supplementary Runs Rules. Methodology and Computing in Applied Probability 9:2, pages 207-224.
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B. Fournier, N. Rupin, M. Bigerelle, D. Najjar & A. Iost. (2006) Application of the generalized lambda distributions in a statistical process control methodology. Journal of Process Control 16:10, pages 1087-1098.
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Sheng Zhang & Zhang Wu. (2005) Designs of control charts with supplementary runs rules. Computers & Industrial Engineering 49:1, pages 76-97.
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A. de Vries & B.J. Conlin. (2005) A comparison of the performance of statistical quality control charts in a dairy production system through stochastic simulation. Agricultural Systems 84:3, pages 317-341.
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A. de Vries & B.J. Conlin. (2003) Design and Performance of Statistical Process Control Charts Applied to Estrous Detection Efficiency. Journal of Dairy Science 86:6, pages 1970-1984.
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N. Balakrishnan & Markos V. Koutras. 2001. Runs and Scans with Applications. Runs and Scans with Applications 389 435 .
SANDY D. BALKIN & DENNIS K. J. LIN. (2011) PERFORMANCE OF SENSITIZING RULES ON SHEWHART CONTROL CHARTS WITH AUTOCORRELATED DATA. International Journal of Reliability, Quality and Safety Engineering 08:02, pages 159-171.
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Junsub Yi, Victor R. Prybutok & Howard R. Clayton. (2001) ARL Comparisons Between Neural Network Models and -Control Charts for Quality Characteristics that are Nonnormally Distributed. Economic Quality Control 16:1.
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Jacek Nieckula. 2001. Frontiers in Statistical Quality Control 6. Frontiers in Statistical Quality Control 6 102 117 .
David Birnbaum & James C. Benneyan. (2015) Statistical Quality Control Methods in Infection Control and Hospital Epidemiology, Part II: Chart Use, Statistical Properties, and Research Issues. Infection Control & Hospital Epidemiology 19:4, pages 265-283.
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E. Bouveresse, S.C. Rutan, Y.Vander Heyden, W. Penninckx & D.L. Massart. (1997) Detection, interpretation and correction of changes in the instrumental response of near-infrared monochromator instruments over time. Analytica Chimica Acta 348:1-3, pages 283-301.
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Joanne M. Sulek, Mary R. Lin & Ann S. Marucheck. (1995) Assessing the outcomes of quality improvement interventions. International Journal of Quality & Reliability Management 12:9, pages 170-182.
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John M. Charnes. (1995) Tests for special causes with multivariate autocorrelated data. Computers & Operations Research 22:4, pages 443-453.
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James J. Divoky & Richard W. Taylor. (1995) Detecting process drift with combinations of trend and zonal supplementary runs rules. International Journal of Quality & Reliability Management 12:2, pages 60-71.
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