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A Stochastic EM Type Algorithm for Parameter Estimation in Models with Continuous Outcomes, under Complex Ascertainment

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  • Grünewald Maria

    (Stockholm University)

  • Humphreys Keith

    (Karolinska Institutet)

  • Hössjer Ola

    (Stockholm University)

Abstract

Outcome-dependent sampling probabilities can be used to increase efficiency in observational studies. For continuous outcomes, appropriate consideration of sampling design in estimating parameters of interest is often computationally cumbersome. In this article, we suggest a Stochastic EM type algorithm for estimation when ascertainment probabilities are known or estimable. The computational complexity of the likelihood is avoided by filling in missing data so that an approximation of the full data likelihood can be used. The method is not restricted to any specific distribution of the data and can be used for a broad range of statistical models.

Suggested Citation

  • Grünewald Maria & Humphreys Keith & Hössjer Ola, 2010. "A Stochastic EM Type Algorithm for Parameter Estimation in Models with Continuous Outcomes, under Complex Ascertainment," The International Journal of Biostatistics, De Gruyter, vol. 6(1), pages 1-31, July.
    • Handle: RePEc:bpj:ijbist:v:6:y:2010:i:1:n:23
    DOI: 10.2202/1557-4679.1222
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    References listed on IDEAS

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    1. Hua Yun Chen, 2003. "A note on the prospective analysis of outcome‐dependent samples," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 575-584, May.
    2. N. E. Breslow & N. Chatterjee, 1999. "Design and analysis of two‐phase studies with binary outcome applied to Wilms tumour prognosis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(4), pages 457-468.
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