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Analyses for binomial data, with application to the fluctuation test for mutagenicity

B J Collings, B H Margolin, G W Oehlert

    Biometrics
    |December 1, 1981
    PubMed
    Summary
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    The fluctuation test for mutagenicity requires specific statistical analysis. A one-tailed binomial test is recommended over a two-tailed approach for better accuracy in microbial mutation testing.

    Area of Science:

    • Genetics
    • Toxicology
    • Statistical analysis

    Background:

    • The fluctuation test is a microbial assay for mutagenicity.
    • It generates binomial data influenced by mutation rates and growth cycles.
    • Previous analyses used a two-tailed binomial test.

    Purpose of the Study:

    • To evaluate statistical methods for analyzing fluctuation test data.
    • To provide recommendations for optimizing fluctuation test design.
    • To compare statistical tests for mutagenicity assessment with multiple positive doses.

    Main Methods:

    • Comparison of one-tailed versus two-tailed binomial tests.
    • Exact power computations for test design.
    • Analysis of statistical tests for multisample binomial data, including regression and isotonic tests.

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    Main Results:

    • A one-tailed two-sample binomial test is more suitable than a two-tailed test for control vs. single positive dose analyses.
    • Recommendations for designing fluctuation tests based on power calculations.
    • The 'isotonic' test is more robust to non-monotonic dose-responses than the 'regression' test; an angular transformation variant should be avoided.

    Conclusions:

    • The choice of statistical test significantly impacts the reliability of mutagenicity findings.
    • Optimized test design and appropriate statistical methods enhance the sensitivity of the fluctuation test.
    • Careful consideration of dose-response relationships is crucial for accurate mutagenicity assessment.