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Sample Size Growth with an Increasing Number of Comparisons

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  • Chi-Hong Tseng
  • Yongzhao Shao

Abstract

An appropriate sample size is crucial for the success of many studies that involve a large number of comparisons. Sample size formulas for testing multiple hypotheses are provided in this paper. They can be used to determine the sample sizes required to provide adequate power while controlling familywise error rate or false discovery rate, to derive the growth rate of sample size with respect to an increasing number of comparisons or decrease in effect size, and to assess reliability of study designs. It is demonstrated that practical sample sizes can often be achieved even when adjustments for a large number of comparisons are made as in many genomewide studies.

Suggested Citation

  • Chi-Hong Tseng & Yongzhao Shao, 2012. "Sample Size Growth with an Increasing Number of Comparisons," Journal of Probability and Statistics, Hindawi, vol. 2012, pages 1-10, August.
    • Handle: RePEc:hin:jnljps:935621
    DOI: 10.1155/2012/935621
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