Confidence intervals for directly standardized rates: a method based on the gamma distribution.

  title={Confidence intervals for directly standardized rates: a method based on the gamma distribution.},
  author={Michael P. Fay and Eric J. Feuer},
  journal={Statistics in medicine},
  volume={16 7},
  • M. Fay, E. Feuer
  • Published 15 April 1997
  • Mathematics
  • Statistics in medicine
We offer an approximation to central confidence intervals for directly standardized rates, where we assume that the rates are distributed as a weighted sum of independent Poisson random variables. Like a recent method proposed by Dobson, Kuulasmaa, Eberle and Scherer, our method gives exact intervals whenever the standard population is proportional to the study population. In cases where the two populations differ non-proportionally, we show through simulation that our method is conservative… 

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