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

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  • Scott L. Zeger
  • Sharon L. Edelstein

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.

Suggested Citation

  • Scott L. Zeger & Sharon L. Edelstein, 1989. "Poisson Regression with a Surrogate X an Analysis of Vitamin a and Indonesian Children's Mortality," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 38(2), pages 309-318, June.
    • Handle: RePEc:bla:jorssc:v:38:y:1989:i:2:p:309-318
    DOI: 10.2307/2348061
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    Cited by:

    1. Brennan, Lance & McDonald, John & Shlomowitz, Ralph, 2004. "Infant feeding practices and chronic child malnutrition in the Indian states of Karnataka and Uttar Pradesh," Economics & Human Biology, Elsevier, vol. 2(1), pages 139-158, March.

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