The dual test: safeguarding p-value combination tests for adaptive designs.

@article{Burman2010TheDT,
  title={The dual test: safeguarding p-value combination tests for adaptive designs.},
  author={C F Burman and V. M. Lisovskaja},
  journal={Statistics in medicine},
  year={2010},
  volume={29 7-8},
  pages={797-807}
}
Many modern adaptive designs apply an analysis where p-values from different stages are weighted together to an overall hypothesis test. One merit of this combination approach is that the design can be made very flexible. However, combination tests violate the sufficiency and conditionality principles. As a consequence, combination tests may lead to absurd conclusions, such as 'proving' a positive effect while the average effect is negative. We explore the possibility of modifying the test so… CONTINUE READING
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