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Rare Event Detection Using Error-corrected DNA and RNA Sequencing
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On generalized fixed sequence procedures for controlling the FWER.

Zhiying Qiu1, Wenge Guo2, Gavin Lynch2

  • 1Biostatistics and Programming, Sanofi, Bridgewater, NJ, 08807, U.S.A.

Statistics in Medicine
|August 1, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces new methods for testing ordered hypotheses, controlling the familywise error rate (FWER) in scientific research. These generalized procedures enhance hypothesis testing power while maintaining statistical validity.

Keywords:
critical valuesfallback procedurefamilywise error ratefixed sequence proceduremultiple testingpower

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Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Statistical Inference

Background:

  • Controlling the familywise error rate (FWER) is crucial in sequential hypothesis testing for scientific studies.
  • Existing methods may limit the ability to test subsequent hypotheses if earlier ones are not rejected.

Purpose of the Study:

  • To introduce a generalized fixed sequence procedure for hypothesis testing.
  • To develop new FWER-controlling procedures that allow testing of follow-up hypotheses regardless of earlier outcomes.
  • To improve these procedures using pairwise correlation information.

Main Methods:

  • Developed a generalized fixed sequence procedure with critical values based on rejection/acceptance counts.
  • Constructed the least favorable configuration and established a condition for FWER control under arbitrary dependence.
  • Proposed three new generalized fixed sequence procedures and proved their equivalence to closed testing procedures.

Main Results:

  • Introduced a generalized fixed sequence procedure allowing follow-up tests even if prior hypotheses are not rejected.
  • Developed three novel generalized fixed sequence procedures that control FWER under arbitrary dependence.
  • Demonstrated improved power performance compared to existing FWER controlling procedures via simulations and a clinical trial example.

Conclusions:

  • The proposed generalized fixed sequence procedures offer enhanced power for hypothesis testing while controlling FWER.
  • These methods provide flexibility in testing sequences, particularly valuable in clinical trials.
  • Incorporating pairwise correlation information further optimizes procedure performance when data distributions are known.