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Related Experiment Videos

A computer program for the graphical and iterative fitting of probability density functions to biological data.

J R Brassard, M J Correia

    Computer Programs in Biomedicine
    |September 1, 1975
    PubMed
    Summary

    This program uses nonlinear least squares to fit probability density functions (PDFs) to data, aiding statistical analysis and model comparison for empirical distributions.

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    Area of Science:

    • Computational Statistics
    • Data Analysis Software
    • Probability Theory

    Background:

    • Empirical frequency distributions are common in data analysis.
    • Fitting theoretical probability density functions (PDFs) to empirical data is crucial for statistical modeling.
    • Existing methods may lack interactive and comprehensive fitting capabilities.

    Purpose of the Study:

    • To describe an interactive, tutorially-assisted program for fitting PDFs to empirical data.
    • To provide users with tools for nonlinear least squares fitting and goodness-of-fit assessment.
    • To facilitate statistical model comparison and analysis on a minicomputer.

    Main Methods:

    • Nonlinear least squares fitting of seven different probability density functions (PDFs).

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  • Interactive program with optional automatic estimation of initial parameter values.
  • Data input or formation from time-between-event series.
  • Output modes include histogram display, PDF generation, parameter forcing, and goodness-of-fit tests.

    • Main Results:

    • The program iteratively obtains the best-fit PDF, displayed alongside a histogram.
    • Users can assess goodness-of-fit using Chi-square (χ²) and Kolmogorov-Smirnov tests.
    • A special test allows for statistical comparison of least squares estimates between two candidate models.

    Conclusions:

    • The developed program offers a versatile and interactive tool for statistical analysis on a PDP-11 minicomputer.
    • It enhances the process of fitting and evaluating probability density functions for empirical data.
    • The software supports advanced statistical comparisons, aiding in robust data interpretation.