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Some correlations in intersection-union tests and their relationship with complete power
Authors:Fang Liu
Institution:
  • Biostatistics and Research Decision Sciences, Merck Research Laboratories, Rahway, NJ 07065, United States
  • Abstract:We explore the relationship between some correlations and complete power in intersection-union tests. We invalidate the approach of using the product of individual powers from testing each individual hypothesis as a lower bound estimate of the complete power, assuming nonnegative correlations.
    Keywords:Co-primary hypotheses  Correlation between test statistics  Correlation between estimates  Lower bound  Product of individual powers
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