基于配对检验的ARIMA模型在我国甲肝发病数预测中的应用
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1.南京医科大学康达学院;2.南京医科大学

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国家自然科学基金青年项目(61901225);江苏省高校自然科学研究(19KJD330001);江苏高校哲学社会科学研究项目(2022SJYB1868); 2022年江苏省大学生创新创业训练计划项目(202213980011Y);南京医科大学康达学院第一期青年教师科研导师项目(KD2022KYDS020)、第二期品牌专业建设工程资助项目(JX206000302)、医学信息模拟及预测科研团队资助项目(KD2022KYCXTD003);


Application of ARIMA model based on paired test in the prediction of hepatitis A incidence in China
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    摘要:

    目的: 探讨基于配对检验的ARIMA模型在我国甲肝发病数预测中的应用,提出时间序列模型预测效果评价的新思路与方法。方法: 对2004年1月至2021年12月我国甲肝传染病月发病数建立ARIMA模型,对2022年1-8月的甲肝月发病数进行预测,通过配对检验和误差分析评估该模型的预测效果。结果: 配对t检验结果显示,ARIMA(1,1,0)(0,1,1)12模型预测的甲肝月发病数与实际月发病数无显著性差异(P>0.05),说明模型有较好预测能力,预测结果的相对误差平均值为2.75%,标准偏差为4.35%。结论: 传染病的准确预测,对于传染病防控工作意义重大。ARIMA乘积季节模型能够较准确地预测我国甲肝的发病趋势;配对检验为时间序列模型预测效果的评价提供了客观评价的依据,较好地解决了时间序列模型预测效果的评价问题。

    Abstract:

    Objective: To explore the application of ARIMA model based on paired test in predicting the incidence of hepatitis A in China, and put forward a new idea and method for evaluating the prediction effect of time series model. Methods: An ARIMA model was established for the monthly incidence of hepatitis A infectious diseases in China from January 2004 to December 2021, and the monthly incidence of hepatitis A infectious diseases from January to August 2022 was predicted. The prediction effect of the model was evaluated by paired T-test and error analysis. Results: The results of paired T-test showed that there was no significant difference between the monthly incidence of hepatitis A predicted by ARIMA(1,1,0)(0,1,1)12 model and the actual monthly incidence of hepatitis A(P>0.05), indicating that the model had good prediction ability, and the mean relative error and standard deviation of the prediction results were 2.75% and 4.35%. Conclusion: The accurate prediction of infectious diseases is of great significance to the prevention and control of infectious diseases. ARIMA product season model can accurately predict the incidence trend of hepatitis A in China. The paired test provides an objective basis for evaluating the prediction effect of time series model, and solves the problem of evaluating the prediction effect of time series model well.

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  • 收稿日期:2024-01-20
  • 最后修改日期:2024-08-29
  • 录用日期:2024-10-10
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