fit_logistic(t,Q)

Version 1.9.0.0 (4,58 KB) von James Conder
Fit a time series to a best-fitting logistic function.
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3,4K Downloads
Aktualisiert 25 Jan 2016

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Fit time series Q(t) to a logistic function.
Inputs (vectors of same size): t (time) & Q
Outputs: Qpre (logistic model fit to data) and three independent parameters: thalf, Qinf, and a, describing the logistic
Q(t) = Qinf/(1 + exp(-a*(t-thalf)))
Qinf is value as t --> infinity
thalf is time of symmetric inflection point
a is time decay constant
Written by James Conder, Southern Illinois University, Oct. 2010
Cleaned up for publishing May 16, 2013

Zitieren als

James Conder (2024). fit_logistic(t,Q) (https://www.mathworks.com/matlabcentral/fileexchange/41781-fit_logistic-t-q), MATLAB Central File Exchange. Abgerufen .

Kompatibilität der MATLAB-Version
Erstellt mit R2013a
Kompatibel mit allen Versionen
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Version Veröffentlicht Versionshinweise
1.9.0.0

Added confidence limits for parameters.
1.8.0.0

1) condensed output of three individual parameters: thalf, Qinf, and alpha into one 3 element vector, p
2) fixed typo in comments
1.7.0.0

Added a check to avoid the flatlining (Qpre goes to the mean) that has occasionally occurred.

1.5.0.0

Fixed bug for reversing time when fitting a decreasing logistic.
Added an example in help comments.
1.4.0.0

accidentally included debugging code in last update. update is debugged AND cleaned version
1.3.0.0

Fixed instability for short or long time frames
1.2.0.0

Fixed signs of coefficients for decreasing logistic and added screenshot
1.1.0.0

Fixed signs of coefficients for decreasing logistic.
1.0.0.0