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Two computer programs using logit transformation for the analysis of S-shaped curves

E Rieger1, J J Bijl, M Rieger

  • 1Department of Dermatology, University of Graz, Austria.

Computers in Biology and Medicine
|September 1, 1993
PubMed
Summary

This study introduces two BASIC programs for analyzing S-shaped curves using logit transformation. These programs offer a simple and accurate alternative to probit analysis, especially when computational resources are limited.

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Area of Science:

  • Pharmacometrics
  • Biostatistics
  • Computational Biology

Background:

  • S-shaped curves are common in dose-response relationships.
  • Probit analysis is a standard method for analyzing these curves.
  • Computational limitations can hinder the application of traditional methods.

Purpose of the Study:

  • To present two BASIC computer programs for analyzing S-shaped curves.
  • To utilize logit transformation as an alternative to probit transformation.
  • To provide efficient analysis methods for limited computing environments.

Main Methods:

  • Development of two BASIC programs.
  • Application of logit transformation for curve analysis.
  • Utilizing maximum likelihood estimation, similar to Finney's probit algorithm.

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Main Results:

  • The first program accurately estimates the median effective dose (ED50).
  • The second program effectively fits S-shaped curves to data not easily transformed to proportions.
  • Logit transformation demonstrated efficiency in terms of memory and speed.

Conclusions:

  • Logit transformation is a viable and efficient alternative to probit transformation.
  • The presented BASIC programs offer practical solutions for dose-response analysis.
  • These methods are particularly beneficial in resource-constrained computational settings.