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Subject: Re: sigmoid curve fitting in trend lines


P.S. In https://bugs.freedesktop.org/show_bug.cgi?id=46539 ("sigmoid
curve fitting in trend lines") I mentioned some open source free
software which implement those algorithms:

Here is how to do it in R:
http://thebiobucket.blogspot.com/2011/04/fit-sigmoid-curve-with-confidence.html

and Matlab/Octave:
http://www.mathworks.com/matlabcentral/newsreader/view_thread/169459

I hope that solves most of the problem for developers. --James Salsman


On Wed, Oct 24, 2012 at 7:43 PM, James Salsman <jsalsman@gmail.com> wrote:
> Patrick,
>
> Thank you for your question.
>
> First, please change "Gompertz sigmoid – Regression with a
> logistic...." to "Gompertz sigmoid – Regression with a Gompertz...."
> on the fifth line of my original request below.  I'm sorry about that
> typo, and I tried to fix it, but it apparently didn't get fixed in my
> request.
>
> As for the methods of calculating the parameters for fitting those two
> very important curves, instead of trying to describe them, could you
> please reference these authoritative descriptions of the algorithms
> instead?
>
> For logistic curve fitting: J. A. Nelder (March 1961) "The Fitting of
> a Generalization of the Logistic Curve" _Biometrics_ vol. 17, no. 1,
> pp. 89-110: http://www.jstor.org/stable/2527498
>
> For Gompertz curve fitting: Karl W. Kaufmann (1981) "Fitting and using
> growth curves" _Oecologia_ vol. 49, no. 3, pp. 293-299:
> http://www.springerlink.com/content/w153v81q72400q62
>
> Please let me know if I can help any further.
>
> Best regards,
> James Salsman
>
>
> On Wed, Oct 24, 2012 at 3:28 PM, Patrick Durusau <patrick@durusau.net> wrote:
>> James,
>>
>> With regard to your request for the addition of:
>>
>>> "* logistic sigmoid – Regression with a logistic sigmoid function –
>>> approximate the values of the series using the model: y =
>>> A+B/(1+e^(-(x-C)/D))
>>>
>>> "* Gompertz sigmoid – Regression with a logistic sigmoid function –
>>> approximate the values of the series using the model: y =
>>> A+B·e^(C·e^(D·x))"
>>
>>
>> To the ODF standard.
>>
>> Can you define the method for calculating the parameters of these two
>> functions?
>>
>> Please pardon our delay in reaching your request.
>>
>> The TC has not made a decision about your request but having the additional
>> information will make that task easier.
>>
>> Thanks!
>>
>> Hope you are having a great week!
>>
>> Patrick
>>
>> --
>> Patrick Durusau
>> patrick@durusau.net
>> Former Chair, V1 - US TAG to JTC 1/SC 34
>> Convener, JTC 1/SC 34/WG 3 (Topic Maps)
>> Editor, OpenDocument Format TC (OASIS), Project Editor ISO/IEC 26300
>> Co-Editor, ISO/IEC 13250-1, 13250-5 (Topic Maps)
>>
>> Another Word For It (blog): http://tm.durusau.net
>> Homepage: http://www.durusau.net
>> Twitter: patrickDurusau
>>


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