安庆玉, 孙巍, 朱琳, 吴隽. 改进的负二项回归模型在大连市水痘流行高峰开始时间预警中的应用[J]. 疾病监测, 2019, 34(10): 937-943. DOI: 10.3784/j.issn.1003-9961.2019.10.017
引用本文: 安庆玉, 孙巍, 朱琳, 吴隽. 改进的负二项回归模型在大连市水痘流行高峰开始时间预警中的应用[J]. 疾病监测, 2019, 34(10): 937-943. DOI: 10.3784/j.issn.1003-9961.2019.10.017
Qingyu An, Wei Sun, Lin Zhu, Jun Wu. Application of improved negative binomial regression model in early warning of peak time of varicella incidence in Dalian[J]. Disease Surveillance, 2019, 34(10): 937-943. DOI: 10.3784/j.issn.1003-9961.2019.10.017
Citation: Qingyu An, Wei Sun, Lin Zhu, Jun Wu. Application of improved negative binomial regression model in early warning of peak time of varicella incidence in Dalian[J]. Disease Surveillance, 2019, 34(10): 937-943. DOI: 10.3784/j.issn.1003-9961.2019.10.017

改进的负二项回归模型在大连市水痘流行高峰开始时间预警中的应用

Application of improved negative binomial regression model in early warning of peak time of varicella incidence in Dalian

  • 摘要:
    目的探讨改进的泊松回归模型或负二项回归模型在大连市水痘流行高峰开始时间预警中的应用。
    方法应用Z-D现象理论将2006 — 2014年大连市的水痘发病资料按照流行年进行整理,在此基础上采用圆形分布法计算发病高峰日和发病高峰期间,同时检验数据是否存在过度离散。 采用改进的泊松回归模型或负二项回归模型建立水痘发病基线水平,并以灵敏度、预警探测时间和错误预警率为评价指标,以圆形分布法计算结果为参考标准选择适宜的预警界值构建大连市水痘流行高峰开始时间预警模型。
    结果2006 — 2014年,大连市共报告水痘病例26 427例,年平均发病率为46.366/10万。 圆形分布法计算结果显示,水痘发病具有一定季节性。 2006 — 2014年间总集中趋势r值为0.195(P<0.010),年平均发病高峰日为2月25日,发病高峰期为11月12日至次年6月10日。 由于水痘发病数据过度离散,应用改进的负二项回归模型建立水痘发病基线水平,赤池信息准则(AIC)值为418.854,在水痘发病的高发病年以基线水平+20例、低发病年以基线水平+10例为预警界值,可准确探测水痘的流行开始时间,预警灵敏度达100%,所需的预警探测时间在1.50 ~ 4.67周之间,错误预警率为0%。
    结论应用改进的负二项回归模型建立的大连市水痘流行高峰开始时间预警模型,灵敏度高,预警探测时间合理,可为水痘等传染病防控提供科学依据。

     

    Abstract:
    ObjectiveTo evaluate the application of improved Poisson regression model or negative binomial regression model in the early warning of the peak time of varicella incidence in Dalian, Liaoning province.
    MethodsBased on the theory of Z-D phenomenon, the annual incidence data of varicella in Dalian from 2006 to 2014 were analyzed. Circular distribution method was used to calculate the incidence peak day and period. Considering over-dispersion might exist for data, Poisson regression model or negative binomial regression model were used to estimate the weekly baseline level of varicella. The sensitivity, detection time for early warning and false warning rate were used as evaluation indicators. Circular distribution method was used to select the appropriate warning threshold for reference standard to construct the early warning model of the peak time of varicella incidence in Dalian.
    ResultsFrom 2006 to 2014, a total of 26 427 varicella cases were reported in Dalian with annual incidence rate of 46.366 /100 000. The results of circular distribution method showed that there was seasonal characteristic of varicella incidence. The total concentration trend r value was 0.195 (P<0.010) between 2006 and 2014. The average annual incidence peak date was on 25 February, and the peak period lasted from 12 November to 10 June of the next year. Because the incidence data of varicella was over-dispersion, we established the baseline level of varicella by the improved negative binomial regression model. The Akaike information criterion (AIC) value was 418.854. Baseline level plus 20 cases in high incidence year and baseline level plus 10 cases in low incidence year were used as early warning threshold to accurately detect the time of varicella incidence. The sensitivity of early warning was 100%, the average detection time for early warning ranged from 1.50 to 4.67 weeks, and the false warning rate was 0%.
    ConclusionThe early warning model of varicella incidence peak time in Dalian based on improved negative binomial regression model has high sensitivity and appropriate detection time, which can provide scientific evidence for the prevention and control of varicella and other infectious diseases.

     

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