Design of Cusum Scheme for Monitoring Road Accident Fatalities
- 1 Department of Mathematical Sciences, Redeemer’s University, Redemption City, Nigeria
- 2 Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Abstract
In recent years, road accident fatalities in Nigeria have continued to be on the increase. Thus, urgent attention is needed to reduce or eliminate road accidents fatalities. To achieve this goal, the cumulative sum (Cusum) control chart scheme was designed for monitoring the road accident fatalities using the recorded occurrence of road accident fatalities in a state in the western part of Nigeria. The designed Cusum detects the period of the years when the highest occurrence of road accident fatalities occurred. These periods were observed to be festive periods such as Christmas, Easter, Eid-el- Kabir, and Eid-el-Moluod. Therefore, the festive periods of the year should be used as benchmark by road managers as periods where more attention or precaution measure should be put in place on the roads to drastically reduce or eliminate high occurrence of road accident fatalities. The designed Cusum control chart can be adapted for other states in the country and also for the larger society for detecting the periods when the rate of death as a result of road accidents was prevalent.
- World Health Organization, “The Health Report—Global Burden of Diseases,” 2008.
- Y. Zhao, F. Tsung, and Z. J. Wang, “Dual CUSUM control Schemes for a Mean Range Detection CUSUM,” IIE Transactions, Vol. 37, No. 11, 2005, pp. 1047-1057. doi:10.1080/07408170500232321
- E. S. Page, “Continuous Inspection Schemes,” Biometrika, Vol. 41, No. 1-2, 1954, pp.100-114. doi:10.1093/biomet/41.1-2.100
- J. M. Lucas, “Counted Data CUSUM’s,” Technometrics, Vol. 27, No. 2, 1985, pp. 199-244.
- E. R. Ott, E. G. Schilling and D. V. Neubauer, “Process Control: Trouble Shooting and Interpretation of Data,” 4th Edition, Quality Press, Milwaukee, 2005.
- D. C. Montgomery, “Introduction to Statistical Quality Control,” 4th Edition, John Wiley and Sons, New York, 2005.
- P. A. Osanaiye and C. O. Talabi, “On Some Non-Manufacturing Application of Counted Data Cumulative Sum (Cusum) Control Chart Scheme,” The Statistician, Vol. 38, 1989, pp. 251-257. doi:10.2307/2349058
- K. S. Adekeye, “Use of Cumulative Sum Control Chart for Detection of Increase in Crime Rate,” Nigerian Journal of Mathematics and Application, Vol. 15, 2002, pp. 188-196.
- A. B. Nix, R. J. Rowlands and K. W. Kemp, “Internal Quality Control,” Clinical Medicine, Vol. 6, 1986, pp. 425-440.
- W. S. W. Lin and B. M. Adams, “Combined Control Chart for Forecast-Based Monitoring Schemes,” Journal of Quality Technology, Vol. 28, No. 3, 1996, pp. 289-301.
- K. W. Kemp, “The Use of Cumulative Sum for Sampling Inspection Schemes,” Applied Statistics, Vol. 11, No. 1, 1962, pp. 16-31. doi:10.2307/2985287
- British Standards Institution, “British Standards Guide to Data Analysis and Quality Control Using CUSUM Techniques, Part 4,” 1982.