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Confidence intervals for a normal mean following a group sequential test.

M N Chang1

  • 1Department of Statistics, University of Florida, Gainesville 32611.

Biometrics
|March 1, 1989
PubMed
Summary
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This study introduces a new method for creating confidence intervals for a normal mean after group sequential testing. The new approach offers accurate coverage and shorter interval lengths compared to existing methods.

Area of Science:

  • Statistics
  • Biostatistics
  • Clinical Trial Design

Background:

  • Group sequential tests are common in clinical trials for early stopping.
  • Accurate confidence intervals are crucial for interpreting trial results.
  • Existing methods for confidence intervals post-group sequential testing may have limitations.

Purpose of the Study:

  • To develop a novel methodology for constructing confidence intervals for a normal mean.
  • To evaluate the performance of the proposed method in terms of coverage probability and interval length.
  • To compare the new method against established approaches.

Main Methods:

  • The methodology is based on the likelihood-ratio test.
  • It is specifically designed for constructing confidence intervals following a group sequential test.

Related Experiment Videos

  • Performance is assessed through simulation examples.

    • Main Results:

    • The proposed method yields confidence intervals with accurate nominal probability of coverage.
    • The average length of the confidence intervals is generally shorter than that of Tsiatis, Rosner, and Mehta (1984).
    • Examples demonstrate the practical utility and improved efficiency.

    Conclusions:

    • The likelihood-ratio based method provides a statistically sound and efficient approach for confidence interval construction.
    • This method offers an improvement over existing techniques for group sequential trials.
    • It enhances the precision of parameter estimation in adaptive clinical trial designs.