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CPV Monitoring - Optimization of Control Chart Design by Reducing the False Alarm Rate and Nuisance Signal

Received: 6 March 2024     Accepted: 18 March 2024     Published: 2 April 2024
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Abstract

The Food and Drug Administration’s 2011 Process Validation Guidance and International Council for Harmonization Quality Guidelines recommend continued process verification (CPV) as a mandatory requirement for pharmaceutical, biopharmaceutical, and other regulated industries. As a part of product life cycle management, after process characterization in stage 1 and process qualification and validation in stage-2, CPV is performed as stage-3 validation during commercial manufacturing. CPV ensures that the process continues to remain within a validated state. CPV requires the collection and analysis of data related to critical quality attributes, critical material attributes, and critical process parameters on a minimum basis. Data is then used to elucidate process control regarding the capability to meet predefined specifications and stability via statistical process control (SPC) tools. In SPC, the control charts and Nelson rules are commonly used throughout the industry to monitor and trend data to ensure that a process remains in control. However, basic control charts are susceptible to false alarms and nuisance alarms. Therefore, it is imperative to understand the assumptions behind control charts and the inherent false alarm rates for different Nelson rules. In this article, the authors have detailed the assumptions behind the usage of control charts, the rate of false alarms for different Nelson rules, the impact of skewness and kurtosis of a data distribution on the false alarm rate, and methods for optimizing control chart design by reducing false alarm rates and nuisance signals.

Published in Science Journal of Applied Mathematics and Statistics (Volume 12, Issue 2)
DOI 10.11648/j.sjams.20241202.11
Page(s) 20-28
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

CPV, Control Chart False Alarm Rate, Control Chart Skewness and Kurtosis, Control Chart Nuisance Signal

References
[1] Guidance for Industry: Process Validation — General Principles and Practices. US Food and Drug Administration: Silver Spring, MD, 2011;
[2] PDA Technical Report 59: Utilization of Statistical Methods for Production Monitoring. (2012). Parenteral Drug Association, Bethesda, MD.
[3] Heigl, N., Schmelzer, B., Innerbichler, F., & Shivhare, M. (2021). Statistical quality and process control in Biopharmaceutical manufacturing—Practical issues and remedies. PDA Journal of Pharmaceutical Science and Technology, 75(5), 425-444.
[4] Adams, B. M., Woodall, W. H., & Lowry, C. A. (1992). The use (and misuse) of false alarm probabilities in control chart design. Frontiers in Statistical Quality Control 4, 155-168.
[5] Walker, E., Philpot, J. W., & Clement, J. (1991). False signal rates for the Shewhart control chart with supplementary runs tests. Journal of Quality Technology, 23(3), 247-252.
[6] Nelson, L. S. (1984). The Shewhart control chart—Tests for special causes. Journal of Quality Technology, 16(4), 237-239.
[7] Griffiths, D., Bunder, M., Gulati, C., & Onizawa, T. (2010). The probability of an out of control signal from Nelson's supplementary zig-zag test. Journal of Statistical Theory and Practice, 4(4), 609-615.
[8] Adhibhatta, S., DiMartino, M., Falcon, R., Haman, E., Legg, K., Payne, R., Pipkins, K., & Zamamiri, A. (2017). Continued process verification (CPV) signal responses in Biopharma. ISPE | International Society for Pharmaceutical Engineering.
[9] Trietsch, D., & Bishak, D. (2007). The Rate of False Signals for Control Charts with Limits Estimated from Small Samples. Journal of Quality Technology, 39(1), 52-63.
[10] Bischak, D. P., & Trietsch, D. (2007). The rate of false signals in u control charts with estimated limits. Journal of Quality Technology, 39(1), 54-65.
[11] Richard A. Groeneveld, Glen Meeden, (1984). Measuring Skewness and Kurtosis, Journal of the Royal Statistical Society, 33(4), 391–399,
[12] Karagöz, D., & Hamurkaroğlu, C. (2012). Control charts for skewed distributions: Weibull, gamma, and lognormal. Metodološki Zvezki, 9(2), 95–106.
[13] Munoz, J., Moya Fernandez, P., Alvarez, E., & Blanco-Encomienda, F. (2020). An alternative expression for the constant c4[n] with desirable properties. Scientia Iranica, 0(0), 3388-3393.
[14] Braden, P., & Matis, T. (2022). Cornish–fisher-based control charts inclusive of skewness and kurtosis measures for monitoring the mean of a process. Symmetry, 14(6), 1176.
[15] Kenneth L. Lange, Roderick J. A. Little & Jeremy M. G. Taylor (1989) Robust Statistical Modeling Using the t Distribution, Journal of the American Statistical Association, 84(408), 881-896.
[16] D J. Wheeler and R Stauffer. (2017). When Should We Use Extra Detection Rules? Using process behavior charts effectively. Quality Digest, 322, 1-14.
[17] Muralidharan, N. (2023). Process Validation: Calculating the Necessary Number of Process Performance Qualification Runs. Bio-process International, 21(5), 37-43. https://bioprocessintl.com/analytical/upstream-validation/process-validation-calculating-the-necessary-number-of-process-performance-qualification-runs/
[18] Kim H. Y. (2015). Statistical notes for clinical researchers: Type I and type II errors in statistical decision. Restorative dentistry & endodontics, 40(3), 249–252.
[19] Durivage M. (2016). How To Establish Sample Sizes for Process Validation Using Statistical Tolerance Intervals. Bioprocess Online
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Cite This Article
  • APA Style

    Muralidharan, N., Johnson, T., Rose, L. S., Davis, M. (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), 20-28. https://doi.org/10.11648/j.sjams.20241202.11

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    ACS Style

    Muralidharan, N.; Johnson, T.; Rose, L. S.; Davis, M. CPV Monitoring - Optimization of Control Chart Design by Reducing the False Alarm Rate and Nuisance Signal. Sci. J. Appl. Math. Stat. 2024, 12(2), 20-28. doi: 10.11648/j.sjams.20241202.11

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    AMA Style

    Muralidharan N, Johnson T, Rose LS, Davis M. CPV Monitoring - Optimization of Control Chart Design by Reducing the False Alarm Rate and Nuisance Signal. Sci J Appl Math Stat. 2024;12(2):20-28. doi: 10.11648/j.sjams.20241202.11

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  • @article{10.11648/j.sjams.20241202.11,
      author = {Naveenganesh Muralidharan and Thatsinee Johnson and Leyla Saeednia Rose and Mark Davis},
      title = {CPV Monitoring - Optimization of Control Chart Design by Reducing the False Alarm Rate and Nuisance Signal},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {12},
      number = {2},
      pages = {20-28},
      doi = {10.11648/j.sjams.20241202.11},
      url = {https://doi.org/10.11648/j.sjams.20241202.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20241202.11},
      abstract = {The Food and Drug Administration’s 2011 Process Validation Guidance and International Council for Harmonization Quality Guidelines recommend continued process verification (CPV) as a mandatory requirement for pharmaceutical, biopharmaceutical, and other regulated industries. As a part of product life cycle management, after process characterization in stage 1 and process qualification and validation in stage-2, CPV is performed as stage-3 validation during commercial manufacturing. CPV ensures that the process continues to remain within a validated state. CPV requires the collection and analysis of data related to critical quality attributes, critical material attributes, and critical process parameters on a minimum basis. Data is then used to elucidate process control regarding the capability to meet predefined specifications and stability via statistical process control (SPC) tools. In SPC, the control charts and Nelson rules are commonly used throughout the industry to monitor and trend data to ensure that a process remains in control. However, basic control charts are susceptible to false alarms and nuisance alarms. Therefore, it is imperative to understand the assumptions behind control charts and the inherent false alarm rates for different Nelson rules. In this article, the authors have detailed the assumptions behind the usage of control charts, the rate of false alarms for different Nelson rules, the impact of skewness and kurtosis of a data distribution on the false alarm rate, and methods for optimizing control chart design by reducing false alarm rates and nuisance signals.},
     year = {2024}
    }
    

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    AU  - Naveenganesh Muralidharan
    AU  - Thatsinee Johnson
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    AB  - The Food and Drug Administration’s 2011 Process Validation Guidance and International Council for Harmonization Quality Guidelines recommend continued process verification (CPV) as a mandatory requirement for pharmaceutical, biopharmaceutical, and other regulated industries. As a part of product life cycle management, after process characterization in stage 1 and process qualification and validation in stage-2, CPV is performed as stage-3 validation during commercial manufacturing. CPV ensures that the process continues to remain within a validated state. CPV requires the collection and analysis of data related to critical quality attributes, critical material attributes, and critical process parameters on a minimum basis. Data is then used to elucidate process control regarding the capability to meet predefined specifications and stability via statistical process control (SPC) tools. In SPC, the control charts and Nelson rules are commonly used throughout the industry to monitor and trend data to ensure that a process remains in control. However, basic control charts are susceptible to false alarms and nuisance alarms. Therefore, it is imperative to understand the assumptions behind control charts and the inherent false alarm rates for different Nelson rules. In this article, the authors have detailed the assumptions behind the usage of control charts, the rate of false alarms for different Nelson rules, the impact of skewness and kurtosis of a data distribution on the false alarm rate, and methods for optimizing control chart design by reducing false alarm rates and nuisance signals.
    VL  - 12
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