Jørgensen B, Lundbye-Christensen S, Song X K, Sun L
Department of Statistics, University of British Columbia, Vancouver, Canada.
Stat Med. 1996;15(7-9):823-36. doi: 10.1002/(sici)1097-0258(19960415)15:7/9<823::aid-sim252>3.0.co;2-a.
A new method for regression analysis of longitudinal counts is applied to data from Prince George, British Columbia, previously analysed by Knight et al. The data consist of daily recordings of the number of emergency room visits for each of four categories of respiratory diseases, along with measurements of meteorological variables and air pollution. We use a state-space model assuming conditionally independent Poisson counts for the four categories given a latent morbidity process, the latent process being a gamma Markov process. The main objective of the investigation was to examine the relationship between air pollution and respiratory morbidity, taking into account seasonality and meteorological conditions. We found that total reduced sulphur significantly influences the expected number of emergency room visits for the four disease categories, in agreement with the conclusion by Knight et al. However, our final model is simpler than theirs; in particular we found no evidence of seasonal variation beyond that explained by the meteorological variables.
一种用于纵向计数回归分析的新方法被应用于来自不列颠哥伦比亚省乔治王子市的数据,该数据先前由奈特等人进行过分析。数据包括四类呼吸道疾病中每类疾病的急诊室就诊次数的每日记录,以及气象变量和空气污染的测量值。我们使用一个状态空间模型,假设在一个潜在发病过程给定的情况下,这四类疾病的计数是条件独立的泊松计数,潜在过程是一个伽马马尔可夫过程。该调查的主要目的是在考虑季节性和气象条件的情况下,研究空气污染与呼吸道发病率之间的关系。我们发现,总还原硫显著影响这四类疾病的急诊室就诊预期次数,这与奈特等人的结论一致。然而,我们的最终模型比他们的更简单;特别是,我们没有发现除气象变量所解释的季节性变化之外的其他季节性变化的证据。