Hu Chunyan,Hu Liangping,Reasonably carry out mean value comparison: Poisson distribution regression models[J].SICHUAN MENTAL HEALTH,2023,(S1):13-17
Reasonably carry out mean value comparison: Poisson distribution regression models
DOI:10.11886/scjsws20230201003
English keywords:Poisson distribution regression model  Offset  Standardized mortality ratio  Deviation information criterion  Highest posterior density interval
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Author NameAffiliationPostcode
Hu Chunyan Graduate School Academy of Military Sciences PLA China Beijing 100850 China 100850
Hu Liangping Graduate School Academy of Military Sciences PLA China Beijing 100850 China
Specialty Committee of Clinical Scientific Research Statistics of World Federation of Chinese Medicine Societies Beijing 100029 China 
100029
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      The purpose of this paper was to introduce 6 basic concepts, calculation methods, a clinical investigation example and its SAS implementation related to the Poisson distribution regression model. The basic concepts included the Poisson distribution, Poisson distribution regression models, offsets, standardized mortality ratio (SMR), deviation information criteria and the highest posterior density intervals. The calculation method involved the classical estimation method and the Bayesian estimation method of the Poisson distribution regression parameters. The clinical investigation example involved the data on observed and expected cases of lip cancer in 56 Scottish counties from 1975 to 1980. This article presented the whole process of using SAS software to deal with the count data in the example, including constructing five Poisson distribution regression models based on the bglimm procedure and showing the degree of agreement between the predicted SMR and the observed SMR. The output results were explained, and based on the evaluation statistics of the model fitting effect, the multiple constructed Poisson distribution regression models were compared, and finally the optimal Poisson distribution regression model suitable for the data in the paper was obtained.
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