预测马来西亚新结核病例:使用自回归集成移动平均 (ARIMA) 模型进行时间序列研究
Mohd Ariff Ab Rashid1, Rafdzah Ahmad Zaki1, Wan Rozita Wan Mahiyuddin2
1Department of Social and Preventive Medicine, Faculty of Medicine, Universiti Malaya, Kuala Lumpur, MYS.
Cureus
|October 9, 2023
概括
这项研究成功开发了一种自行回归集成移动平均 (ARIMA) 模型,用于预测马来西亚的结核病 (TB) 病例. 该模型为结核病流行病监测提供了一个可靠,低成本的早期预警系统.
科学领域:
- 流行病学 流行病学
- 生物统计学 生物统计学
- 公共卫生监督 公共卫生监督
背景情况:
- 自行回归集成移动平均 (ARIMA) 模型是传染病预测和公共卫生监测的宝贵工具.
- 准确预测像结核病 (TB) 这样的传染病对于有效的公共卫生干预至关重要.
研究的目的:
- 开发和验证一个ARIMA模型,用于预测马来西亚的新结核病例.
- 根据历史数据,预测2019年的每月新结核病例.
主要方法:
- 利用马来西亚2013年1月至2018年12月新增结核病例的时间序列数据.
- 应用了Box-Jenkins ARIMA方法来确定最佳模型.
- 通过使用平均绝对百分比误差 (MAPE) 和静止R平方来评估模型有效性,并通过Ljung-Box测试进行验证.
主要成果:
- 确定ARIMA (2,1,1) ((0,1,0) 12模型是最合适的,实现了6.762.0的低MAPE.
- 分析显示,结核病新发病例有明显的季节性模式,高峰期为3月和12月.
- 该模型解释了结核病例变异的55.8%,使用非显著的Ljung-Box测试 (p=0.356).
结论:
- ARIMA模型提供了一种简单,准确和具有成本效益的预测工具,用于监测马来西亚的结核病流行.
- 该模型为公共卫生官员提供了宝贵的六个月的预警,以管理季节性结核病趋势.
- 这种方法增强了可预测季节性模式的传染病早期预警监测系统.
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