胡斌, 卢浩, 刘星言, 李继贞, 王永斌, 邢莹莹. 基于状态空间的误差–趋势–季节模型在河南省肺结核发病率预测中的应用[J]. 疾病监测, 2022, 37(10): 1349-1355. DOI: 10.3784/jbjc.202205120213
引用本文: 胡斌, 卢浩, 刘星言, 李继贞, 王永斌, 邢莹莹. 基于状态空间的误差–趋势–季节模型在河南省肺结核发病率预测中的应用[J]. 疾病监测, 2022, 37(10): 1349-1355. DOI: 10.3784/jbjc.202205120213
Hu Bin, Lu Hao, Liu Xingyan, Li Jizhen, Wang Yongbin, Xing Yingying. Application of error-trend-seasonality model based on state-space in predicting tuberculosis incidence in Henan[J]. Disease Surveillance, 2022, 37(10): 1349-1355. DOI: 10.3784/jbjc.202205120213
Citation: Hu Bin, Lu Hao, Liu Xingyan, Li Jizhen, Wang Yongbin, Xing Yingying. Application of error-trend-seasonality model based on state-space in predicting tuberculosis incidence in Henan[J]. Disease Surveillance, 2022, 37(10): 1349-1355. DOI: 10.3784/jbjc.202205120213

基于状态空间的误差–趋势–季节模型在河南省肺结核发病率预测中的应用

Application of error-trend-seasonality model based on state-space in predicting tuberculosis incidence in Henan

  • 摘要:
      目的  探索基于状态空间的误差–趋势–季节(ETSBSS)模型在河南省肺结核(TB)发病预测中的应用。
      方法  采用时间序列分解法解析2006—2019年河南省TB的趋势和季节组分。 将数据分为训练(2006—2018年)和测试集(2019年),然后使用ETSBSS模型进行拟合和预测,并将模型性能与季节性求和自回归滑动平均混合(SARIMA)模型进行比较。
      结果  ETSBSS(A,MD,M)和SARIMA(1,0,0)(0,1,0)12模型被选择为预测河南省TB发病的最优模型。 两种模型在训练集上拟合的平均绝对百分比误差(MAPE)依次为ETSBSS模型(5.65%)<SARIMA模型(5.71%);在测试集上预测的MAPE依次为ETSBSS模型(4.61%)<SARIMA模型(6.67%)。 平均绝对误差、均方根误差、平均误差率和均方根百分比误差的值也表明ETSBSS模型的拟合及预测值小于SARIMA模型,特别在预测集上。
      结论  ETSBSS(A,MD,M)模型对河南省TB发病的预测性能高,可作为一种有效的决策工具动态预测河南省TB未来流行模式。

     

    Abstract:
      Objective  To evaluate the application of error-trend-seasonality model based on state-space (ETSBSS) in forecasting tuberculosis (TB) incidence in Henan province.
      Methods  Time series decomposition method was used to analyze the trend and seasonal components of the TB incidence in Henan from 2006 to 2019. The data were divided into training set (2006−2018) and testing sets (2019), and then ETSBSS model was used for fitting and prediction, and the model’s fitting and prediction performances were compared with those of the seasonal autoregressive integrated moving average (SARIMA) model.
      Results  The ETSBSS (A, MD, M) and SARIMA (1, 0, 0) (0, 1, 0)12 specifications were selected as the best models to predict the TB incidence in Henan. The mean absolute percentage error (MAPE) values from the ETSBSS model were 5.65% on the training set and 4.61% on the testing set, which were lower than those from the SARIMA model (5.71% on the training set and 6.67% on the testing set). The values of mean absolute error, root mean square error, mean error rate, and root mean square percentage error also indicated that the fitting and prediction error rates of the ETSBSS model was lower than those of the SARIMA model, especially in the prediction set.
      Conclusion  ETSBSS (A, MD, M) model shows a high prediction performance for the TB incidence in Henan, and it can be used as an effective decision-making tool to predict and analyze the dynamical epidemic patterns of TB in Henan.

     

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