simultaneous fit of multiple data sets
- To: mathgroup at smc.vnet.net
- Subject: [mg48024] simultaneous fit of multiple data sets
- From: Mary Beth Mulcahy <Mary.Mulcahy at colorado.edu>
- Date: Fri, 7 May 2004 04:29:42 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
I am a chemist using a technique called dielectric spectroscopy, the important
point is that I get 3 sets of data from a single sample by using different
frequencies. The model to fit the data is as follows:
model = Table[{t, .000057 + Sum[(.08/t)*w*Exp[en/(k*t)]/(1 + w^2*Exp[en/(k*t)]
^2*1/Cosh[a/(k*t)]^2*Gaussian[en, ampl, x0, sigma], {en, 4, 12, .1}]}, {t, 85,
325,5}]
I would like to use Mathematica to simultaneously fit for ampl, xo, sigma, and
a for the three data sets since the parameters should remain constant over the
differ frequencies (w). I am having trouble just getting one frequency to
fit, but can't decide even if I get that to work, that Mathematica will be
able to fit three separate curves simultaneously. I do have the additional
Experimental Data Analysis (EDA) package. I can (and have) done this more or
less by a visual trial and error, but it would be nice to get a chi-squared
value for my results and to have this be more automated for the future.
Thank you,
Mary Beth Mulcahy
University of Colorado
- Follow-Ups:
- Re: simultaneous fit of multiple data sets
- From: Yasvir Tesiram <yat@omrf.ouhsc.edu>
- Re: simultaneous fit of multiple data sets