灰色系统GM(1,1)模型在常州市乙型肝炎发病趋势预测中的应用

    Prediction of the incidence trend of hepatitis B with grey system model GM(1,1) in Changzhou city

    • 摘要: 目的:建立乙型肝炎(乙肝)灰色预测模型GM(1,1),应用于常州市乙肝发病趋势的预测。方法:根据中国疾病预防控制信息系统中2004~2011年常州市乙肝发病率报告资料,建立乙肝发病率灰色预测模型GM(1,1),并对2012~2014年常州市乙肝发病率进行预测。结果:建立的预测模型x(1)(k+1)=-228.213 9 e-0.237 73k+304.554 0,经拟合检验,后验差比值C为0.069,小概率误差P为1,拟合精度为优秀。利用建立的模型预测常州市2012~2014年乙肝发病率分别为9.143 5/10万、7.208 9/10万和5.683 6/10万。结论:GM(1,1)模型较好地拟合了常州市乙肝发病的趋势,预测结果具有参考价值。

       

      Abstract: Objective:To establish the grey system model GM(1,1) for predicting the incidence trend of hepatitis B in Changzhou city.Methods:Grey Model(1,1) was established according to the data of the incidence of hepatitis B from China information system for disease control and prevention during 2004 to 2011 in Changzhou city,which was used to predict the incidence of hepatitis B in 2012,2013,2014.Results:The x(1)(k+1)=-228.213 9 e-0.237 73k+304.554 0,of prediction model GM(1,1) was established.The fitting accuracy of the model was excellentCheck differential ratio(C)=0.069,probabe error(P)=1.The incidence rates of hepatitis B in Changzhou city from 2012 to 2014 were 9.143 5,7.208 9 and 5.6836 per hundred thousand using the model predicting,respectively.Conclusions:The grey system model GM(1,1) can fairly predict the incidence trend of hepatitis B in Changzhou city,and the predicting results have reference value.

       

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