Poisson Regression with a Surrogate X an Analysis of Vitamin a and Indonesian Children's Mortality

Scott L. Zeger and Sharon L. Edelstein

Journal of the Royal Statistical Society Series C, 1989, vol. 38, issue 2, 309-318

Abstract: 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 baseline, 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 baseline 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.

Date: 1989
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