Three parameters logistic regression - There and back again
Three Parameters logistic regression.
One big holes into MatLab cftool function is the absence of Logistic Functions. In particular, The Three Parameters Logistic Regression or 3PL nonlinear regression model is commonly used for curve-fitting analysis in bioassays or immunoassays such as ELISA, RIA, IRMA or dose-response curves. It is characterized by it’s classic “S” or sigmoidal shape that fits the top plateaus of the curve, the EC50, and the slope factor (Hill's slope). This curve is symmetrical around its inflection point. The 3PL equation is: F(x) = D/(1+(x/C)^(-B)) where: B = Hill's slope. The Hill's slope refers to the steepness of the curve. It could either be positive or negative.
C = Inflection point. The inflection point is defined as the point on the curve where the curvature changes direction or signs. C is the concentration of analyte where y=D/2.
D = Maximum asymptote. In a bioassay where you have a standard curve, this can be thought of as the response value for infinite standard concentration.
In this submission there are 2 functions: L3P - to find the 3 parameters and to fit your data (as calibrators...); L3Pinv - to interpolate data of unknown samples onto calibrators curve. Enjoy!
Created by Giuseppe Cardillo
giuseppe.cardillo-edta@poste.it
To cite this file, this would be an appropriate format: Cardillo G. (2012) Three parameters logistic regression - There and back again https://it.mathworks.com/matlabcentral/fileexchange/38124
Citation pour cette source
Giuseppe Cardillo (2024). Three parameters logistic regression - There and back again (https://github.com/dnafinder/logistic3), GitHub. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
Les versions qui utilisent la branche GitHub par défaut ne peuvent pas être téléchargées
Version | Publié le | Notes de version | |
---|---|---|---|
2.0.0.0 | inputparser and girhub link |
|
|
1.0.0.0 | bug correction in L3Pinv |