fit_logistic(t,Q)
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
Cita come
James Conder (2024). fit_logistic(t,Q) (https://www.mathworks.com/matlabcentral/fileexchange/41781-fit_logistic-t-q), MATLAB Central File Exchange. Recuperato .
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Versione | Pubblicato | Note della release | |
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1.9.0.0 | Added confidence limits for parameters. |
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1.8.0.0 | 1) condensed output of three individual parameters: thalf, Qinf, and alpha into one 3 element vector, p
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1.7.0.0 | Added a check to avoid the flatlining (Qpre goes to the mean) that has occasionally occurred. |
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1.5.0.0 | Fixed bug for reversing time when fitting a decreasing logistic.
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1.4.0.0 | accidentally included debugging code in last update. update is debugged AND cleaned version |
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1.3.0.0 | Fixed instability for short or long time frames |
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1.2.0.0 | Fixed signs of coefficients for decreasing logistic and added screenshot |
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1.1.0.0 | Fixed signs of coefficients for decreasing logistic. |
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1.0.0.0 |