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APL programs for outcome probabilities and confidence limits in sequential binomial trials.

S O Larsen

    Controlled Clinical Trials
    |September 1, 1984
    PubMed
    Summary
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    This study details calculating probabilities for closed sequential binomial sampling plans. This allows for the analysis of power functions and confidence limits for any trial outcome.

    Area of Science:

    • Statistics
    • Statistical Methods
    • Sequential Analysis

    Background:

    • Sequential binomial sampling plans are widely used in quality control and clinical trials.
    • Calculating the power function and confidence limits for these plans can be complex.

    Purpose of the Study:

    • To develop a method for calculating probabilities at terminal points in closed sequential binomial sampling plans.
    • To enable the study of power functions for any acceptance region.
    • To facilitate the calculation of confidence limits for observed trial outcomes.

    Main Methods:

    • Probabilities of reaching each terminal point in closed sequential binomial sampling plans were calculated.
    • Probabilities were accumulated from both sides of the sampling plan.
    • An auxiliary program was used for confidence limit calculations.

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    Main Results:

    • The proposed method allows for the computation of the power function for any defined acceptance region.
    • Confidence limits can be determined for specific trial outcomes.

    Conclusions:

    • The developed method provides a comprehensive approach to analyzing closed sequential binomial sampling plans.
    • This facilitates a deeper understanding of the statistical properties and performance of these plans.