IDEAS home Printed from https://ideas.repec.org/a/bla/jorssa/v171y2008i2p407-432.html
   My bibliography  Save this article

Cumulative sum schemes for surgical performance monitoring

Author

Listed:
  • Tee‐Chin Chang

Abstract

Summary. The standard cumulative sum (CUSUM), risk‐adjusted CUSUM and Shiryayev–Roberts schemes for monitoring surgical performance are compared. We find that both CUSUM schemes are comparable in run length performance except when there is a high heterogeneity of surgical risks, in which case the risk‐adjusted CUSUM scheme is more sensitive in detecting a shift in surgical performance. The Shiryayev–Roberts scheme is found to be less sensitive compared with the CUSUM schemes in detecting a deterioration in surgical performance. Using the Markov chain method, the exact average run length of a standard CUSUM scheme can be computed whereas the average run length of a risk‐adjusted CUSUM scheme is approximated. For a risk‐adjusted CUSUM scheme, the accuracy of the average run length depends on the fineness of the discretization of CUSUM values, which relies on the chart limit, shift to be detected optimally and in‐control surgical risk distribution. A sensitivity analysis shows that the risk‐adjusted CUSUM and Shiryayev–Roberts schemes still perform moderately well in detecting a deterioration and an improvement in surgical performances respectively even though there is a misspecification of the in‐control surgical risk distribution. In general, the run length performance of the Shiryayev–Roberts scheme is comparatively less sensitive to a misspecification of the in‐control surgical risk distribution.

Suggested Citation

  • Tee‐Chin Chang, 2008. "Cumulative sum schemes for surgical performance monitoring," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(2), pages 407-432, April.
  • Handle: RePEc:bla:jorssa:v:171:y:2008:i:2:p:407-432
    DOI: 10.1111/j.1467-985X.2007.00513.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-985X.2007.00513.x
    Download Restriction: no

    File URL: https://libkey.io/10.1111/j.1467-985X.2007.00513.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. J Lovegrove & C Sherlaw-Johnson & O Valencia & T Treasure & S Gallivan, 1999. "Monitoring the performance of cardiac surgeons," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 684-689, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. J P Oddoye & M A Yaghoobi & M Tamiz & D F Jones & P Schmidt, 2007. "A multi-objective model to determine efficient resource levels in a medical assessment unit," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1563-1573, December.
    2. Oddoye, J.P. & Jones, D.F. & Tamiz, M. & Schmidt, P., 2009. "Combining simulation and goal programming for healthcare planning in a medical assessment unit," European Journal of Operational Research, Elsevier, vol. 193(1), pages 250-261, February.
    3. Fah Gan & Tess Tan, 2010. "Risk-adjusted number-between failures charting procedures for monitoring a patient care process for acute myocardial infarctions," Health Care Management Science, Springer, vol. 13(3), pages 222-233, September.
    4. C Sherlaw-Johnson & P Wilson & S Gallivan, 2007. "The development and use of tools for monitoring the occurrence of surgical wound infections," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(2), pages 228-234, February.
    5. Athanasios Sachlas & Sotirios Bersimis & Stelios Psarakis, 2019. "Risk-Adjusted Control Charts: Theory, Methods, and Applications in Health," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 11(3), pages 630-658, December.
    6. Xu Tang & Fah F. Gan & Lingyun Zhang, 2015. "Risk-Adjusted Cumulative Sum Charting Procedure Based on Multiresponses," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(509), pages 16-26, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:jorssa:v:171:y:2008:i:2:p:407-432. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.