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On Robust and Efficient Designs for Risk Estimation in Epidemiological Studies

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  • Holger Dette

Abstract

. We consider the design problem for the estimation of several scalar measures suggested in the epidemiological literature for comparing the success rate in two samples. The designs considered so far in the literature are local in the sense that they depend on the unknown probabilities of success in the two groups and are not necessarily robust with respect to their misspecification. A maximin approach is proposed to obtain efficient and robust designs for the estimation of the relative risk, attributable risk and odds ratio, whenever a range for the success rates can be specified by the experimenter. It is demonstrated that the designs obtained by this method are usually more efficient than the commonly used uniform design, which allocates equal sample sizes to the two groups.

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  • Holger Dette, 2004. "On Robust and Efficient Designs for Risk Estimation in Epidemiological Studies," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 31(3), pages 319-331, September.
  • Handle: RePEc:bla:scjsta:v:31:y:2004:i:3:p:319-331
    DOI: 10.1111/j.1467-9469.2004.03_037.x
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    Cited by:

    1. Sheng Wu & Weng Kee Wong & Catherine M. Crespi, 2017. "Maximin optimal designs for cluster randomized trials," Biometrics, The International Biometric Society, vol. 73(3), pages 916-926, September.

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