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General multistage gatekeeping procedures.

Alex Dmitrienko1, Ajit C Tamhane, Brian L Wiens

  • 1Eli Lilly and Company, Indianapolis, IN 46285, USA. dmitrienko alex@lilly.com

Biometrical Journal. Biometrische Zeitschrift
|October 22, 2008
PubMed
Summary
This summary is machine-generated.

A new stepwise procedure simplifies gatekeeping problems in statistical testing by reallocating Type I error rates. This method avoids complex hypothesis testing, offering a more powerful alternative to standard procedures like Bonferroni.

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Area of Science:

  • Statistics
  • Clinical Trials
  • Hypothesis Testing

Background:

  • Gatekeeping problems in statistical testing involve complex procedures for controlling Type I error rates across multiple hypotheses.
  • Existing methods, such as the closed testing principle, can be computationally intensive and require testing numerous intersections of hypotheses.
  • Standard multiple test procedures (MTPs) like Holm, Hochberg, Fallback, and Dunnett are not always suitable for general gatekeeping due to separability requirements.

Purpose of the Study:

  • To propose a general, simple, and effective multistage (stepwise) procedure for arbitrary gatekeeping problems, including parallel and serial gatekeeping.
  • To introduce separable multiple test procedures (MTPs) that are more powerful than the standard Bonferroni MTP.
  • To illustrate the application of the proposed procedure using a clinical trial example.

Main Methods:

  • A novel stepwise procedure that carries forward the Type I error rate from rejected hypotheses to subsequent hypotheses.
  • The use of separable MTPs within the stepwise procedure, including truncated versions of standard MTPs that are more powerful than Bonferroni.
  • Avoidance of the closed testing principle and the need to test all intersections of hypotheses.

Main Results:

  • The proposed general multistage procedure is simple to implement and effectively handles various gatekeeping problems.
  • Truncated versions of standard MTPs are shown to be separable and offer increased power compared to the Bonferroni MTP.
  • The procedure successfully manages Type I error rates by reallocating error rates from rejected hypotheses.

Conclusions:

  • The proposed stepwise gatekeeping procedure offers a practical and powerful alternative to existing methods.
  • Separable MTPs, particularly their truncated versions, enhance the efficiency and power of statistical testing in gatekeeping scenarios.
  • This approach simplifies complex statistical testing, making it more accessible for applications like clinical trials.