Poisson Regression with a Surrogate X; An Analysis of Vitamin A and Indonesian Children's Mortality
提出一种带替代变量X的泊松回归模型，用于评估维生素A补充对降低印度尼西亚儿童死亡率的效果，并利用该模型调整基线干眼症患病率差异后的死亡率比较。
"A Poisson regression model with a surrogate X variable is proposed to help to assess the efficacy of vitamin A in reducing child mortality in Indonesia. In a recent community trial, the mortality rate in villages receiving vitamin A supplementation was 35% less than in control villages. However, at base-line, control villages were found to have slightly higher rates of xerophthalmia, an ocular disease caused by vitamin A deficiency. It was therefore desirable to adjust the mortality comparison for base-line vitamin A levels as indicated by xerophthalmia prevalence. This paper presents a parametric errors-in-X regression model developed for this purpose. Likelihood methods for fitting and inference are discussed. The model is illustrated on the Indonesian data set."