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Weibull: a regression model for survival time studies

J O'Quigley, A Roberts

    Computer Programs in Biomedicine
    |August 1, 1980
    PubMed
    Summary
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    The WEIBULL program offers a FORTRAN solution for Weibull regression analysis, calculating key statistical parameters. It ensures model fit using the kappa 2 statistic for reliable data interpretation.

    Area of Science:

    • Statistics
    • Computational Science
    • Biostatistics

    Background:

    • Weibull regression models are widely used for survival analysis and reliability engineering.
    • Accurate calculation of regression coefficients and likelihood is crucial for model interpretation.
    • Assessing the goodness-of-fit is essential for validating statistical models.

    Purpose of the Study:

    • To introduce the WEIBULL program, a FORTRAN-based tool for Weibull regression analysis.
    • To provide researchers with a method for calculating regression coefficients, standard errors, and maximized log-likelihood.
    • To implement a goodness-of-fit test using the kappa 2 statistic.

    Main Methods:

    • The WEIBULL program utilizes FORTRAN programming language.
    • It incorporates routines from the Numerical Algorithms Group (NAG) library for maximization procedures.

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  • The kappa 2 statistic is computed to evaluate the adequacy of the model fit.

    • Main Results:

    • The program successfully calculates regression coefficients and their standard errors.
    • It accurately determines the maximized log-likelihood for the Weibull regression model.
    • The kappa 2 statistic provides a quantitative measure for assessing model fit.

    Conclusions:

    • The WEIBULL program is a valuable tool for performing Weibull regression analysis.
    • It offers a robust method for estimating model parameters and evaluating goodness-of-fit.
    • The software facilitates reliable statistical analysis in fields utilizing Weibull distributions.