Tsutakawa R K
J Am Stat Assoc. 1988 Mar;83(401):37-42. doi: 10.1080/01621459.1988.10478562.
"A mixed model is proposed for the analysis of geographic variability in mortality rates. In addition to demographic parameters and random geographic parameters, the model includes additional random-effects parameters to adjust for extra-Poisson variability. The model uses a gamma-Poisson distribution with a random scale parameter having an inverse gamma prior. An empirical Bayes approach is used to estimate relative risks for geographic regions and annual rates for demographic groups within each region. Lung cancer in Missouri is used to motivate and illustrate the procedure."
提出了一种混合模型用于分析死亡率的地理变异性。除了人口统计学参数和随机地理参数外,该模型还包括额外的随机效应参数,以调整泊松分布之外的变异性。该模型使用伽马-泊松分布,其随机尺度参数具有逆伽马先验。采用经验贝叶斯方法估计各地理区域的相对风险以及每个区域内人口群体的年率。以密苏里州的肺癌为例来说明该方法。