Sample size estimation in single-arm clinical trials with multiple testing under frequentist and Bayesian approaches.

@article{Zaslavsky2012SampleSE,
  title={Sample size estimation in single-arm clinical trials with multiple testing under frequentist and Bayesian approaches.},
  author={Boris G. Zaslavsky and John Nelson Scott},
  journal={Journal of biopharmaceutical statistics},
  year={2012},
  volume={22 4},
  pages={819-35}
}
In this paper, we study one-sided multiple testing problems for normal and binomial distributions. We use order statistics to test the null hypothesis {all H ( i0) are true}. This approach allows us to uniformly address frequentist and Bayesian multiple testing models. To calculate order statistics, we use confidence limits. In frequentist models, we apply an adjustment to the confidence limits that is equivalent to the Bonferroni adjustment of p-values. In the Bayesian case, we adjust the… CONTINUE READING

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