International Journal of Statistical Distributions and Applications

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Surveillance Methods for the Rare Health Events-A Systematic Review

Received: 03 October 2016    Accepted: 01 November 2016    Published: 30 December 2016
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Abstract

In the field of healthscinece, the problem will arise when monitoring the incidence rate of an event is very small. There are only few statistical methods available for the investigation of rare health events. Apart from the first quality control chart introduced by Shewhart, the best well known surveillance procedures are based on the CUSUM method which was used to identify small shift in the process. But this well known surveillance procedure based on Cumulative Sum (CUSUM) method is failed to detect an increased rate when the increased rate of an event is very small. Some of the other methods like Sets method, CUSCORE (Cumulative Score) method and Bernoulli CUSUM method based were developed to carry out this problem. Detailed reviews of these three methods in the field of health science were discussed based on earlier literatures.

DOI 10.11648/j.ijsd.20160204.16
Published in International Journal of Statistical Distributions and Applications (Volume 2, Issue 4, December 2016)
Page(s) 76-80
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

Sets Method, CUSCORE Method, Bernoulli CUSUM, Steady State Average Run Length (ARL), Rare Health Event

References
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[2] G. Barbujani, I. Ceccherini and A. Russo, “Surveillance of birth Defects: The multicommunity sets technique tested by computer simulation”, European Journal of Epidemiology, 1986, 2, pp. 52-62.
[3] T. E. Carpenter, “Financial considerations of the sets technique in animal-disease surveillance”, Preventive Veterinary Medicine, 2001, 48, pp. 155-165.
[4] R. Chen, R. R. Connelly and N. Mantel, “The efficiency of the sets and the CUSCORE techniques under biased baseline rates”, Statistics in Medicine, 1997, 16, pp. 1401- 1411.
[5] R. Chen, “A surveillance system for congenital malformations”, Journal of the American Statistical Association, 1978, 73, pp. 323-327.
[6] R. Chen, “The relative efficiency of the sets and the CUSUM techniques in monitoring the occurrence of a rare event”, Statistics in Medicine, 1987, 6, pp. 517-525.
[7] G. Gallus, C. Mandelli, M. Marchi, G. Radaelli, “On surveillance methods for congenital malformations”, Statistics in Medicine, 1986, 5, pp. 565-571.
[8] G. Radaelli, “Using the Cuscore technique in the surveillance of rare health events”, Journal of Applied Statistics, 1992, 19, pp. 75-81.
[9] O. A. Grigg and V. T. Farewell, “A risk-adjusted Sets method for monitoring adverse medical outcomes”, Statistics in Medicine, 2004, 23, pp. 1593-1602.
[10] R. R. Sitter, L. P. Hanrahan, D. Demets and H. A. Anderson, “A monitoring system to detect increased rates of cancer incidence, American journal of Epidemiology, 1990, 132, pp. 123-130.
[11] M. R. Reynolds and Z. G. Stoumbos, “A CUSUM chart for monitoring a proportion when inspecting continuously”, Journal of Quality Technology, 1999, 31, pp. 87-108.
[12] M. R. Reynolds and Z. G. Stoumbos, “A general approach to modeling CUSUM charts for a proportion, IIE Transactions, 2000, 32, pp. 515-535.
[13] R. Kenett and M. Pollak, “On sequential detection of a shift in the probability of a rare Event”, Journal of theAmerican Statistical Association, 1983, 78, pp. 389-395.
[14] S. H. Steiner, R. J. Cook and V. T. Farewell and T. Treasure, “Monitoring surgical performance using risk-adjusted cumulative sum charts”, Biostatistics, 2000, 1, pp. 441-452.
[15] L. H. Sego, W. H. Woodall and Jr. M. R. Reynold, “A comparison of surveillance methods for small incidence rates”, Statistics in Medicine, 2008, 27, pp. 1225-1247.
[16] R. Chen, “Revised values for the parameters of the sets technique for monitoring the incidence rate of a rare disease”, Methods of Information in Medicine, 1986, 25, pp. 47-49.
[17] A. G. Munford, “Control chart based on cumulative Scores”, Applied Statistics, 1980, 29, pp. 252-258.
[18] W. H. Woodall, “The use of control charts in healthcare and public health surveillance”, Journal of Quality Technology, 2006, 38, pp. 88-103.
[19] G. Radaelli, “Detection of an unknown increase in the rate of a rare event”, journal of Applied Statistics, 1996, 23, pp. 105-113. "
Author Information
  • Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India

  • Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli, India

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  • APA Style

    Sasikumar Ramaraj, Bangusha Devi Subramanian. (2016). Surveillance Methods for the Rare Health Events-A Systematic Review. International Journal of Statistical Distributions and Applications, 2(4), 76-80. https://doi.org/10.11648/j.ijsd.20160204.16

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    Sasikumar Ramaraj; Bangusha Devi Subramanian. Surveillance Methods for the Rare Health Events-A Systematic Review. Int. J. Stat. Distrib. Appl. 2016, 2(4), 76-80. doi: 10.11648/j.ijsd.20160204.16

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    AMA Style

    Sasikumar Ramaraj, Bangusha Devi Subramanian. Surveillance Methods for the Rare Health Events-A Systematic Review. Int J Stat Distrib Appl. 2016;2(4):76-80. doi: 10.11648/j.ijsd.20160204.16

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  • @article{10.11648/j.ijsd.20160204.16,
      author = {Sasikumar Ramaraj and Bangusha Devi Subramanian},
      title = {Surveillance Methods for the Rare Health Events-A Systematic Review},
      journal = {International Journal of Statistical Distributions and Applications},
      volume = {2},
      number = {4},
      pages = {76-80},
      doi = {10.11648/j.ijsd.20160204.16},
      url = {https://doi.org/10.11648/j.ijsd.20160204.16},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijsd.20160204.16},
      abstract = {In the field of healthscinece, the problem will arise when monitoring the incidence rate of an event is very small. There are only few statistical methods available for the investigation of rare health events. Apart from the first quality control chart introduced by Shewhart, the best well known surveillance procedures are based on the CUSUM method which was used to identify small shift in the process. But this well known surveillance procedure based on Cumulative Sum (CUSUM) method is failed to detect an increased rate when the increased rate of an event is very small. Some of the other methods like Sets method, CUSCORE (Cumulative Score) method and Bernoulli CUSUM method based were developed to carry out this problem. Detailed reviews of these three methods in the field of health science were discussed based on earlier literatures.},
     year = {2016}
    }
    

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    AB  - In the field of healthscinece, the problem will arise when monitoring the incidence rate of an event is very small. There are only few statistical methods available for the investigation of rare health events. Apart from the first quality control chart introduced by Shewhart, the best well known surveillance procedures are based on the CUSUM method which was used to identify small shift in the process. But this well known surveillance procedure based on Cumulative Sum (CUSUM) method is failed to detect an increased rate when the increased rate of an event is very small. Some of the other methods like Sets method, CUSCORE (Cumulative Score) method and Bernoulli CUSUM method based were developed to carry out this problem. Detailed reviews of these three methods in the field of health science were discussed based on earlier literatures.
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