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MathGroup Archive 1995

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Fitting model to data

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg1640] Fitting model to data
  • From: Allen_Hjelmfelt at muccmail.missouri.edu (Allen T. Hjelmfelt, Jr.)
  • Date: Sat, 8 Jul 1995 03:35:28 -0400
  • Organization: USDA-ARS University of Missouri

I have a fairly complicated mathematical model that I want to fit to observed 
data.  The equation is

{2Aq/H} {x/H-X/H}={1-(h/H)^2}-(Bq/A){1-h/H} - 2{Bq/A}^2 ln{[Bq/A+h/H]/[Bq/A+1]}

 I have observed values for x, X, h, H, and q.  I want to determine the A and 
B that gives the best fit.  On page 674 of Mathematica, a system for doing 
mathematics by computer, it says "If you have a particular model for some 
data, you can do a fit to try to determine the parameters of the model."  That 
is what I want to do, but I am having trouble adapting the example to my 
problem.

Any suggestions to get me started will be appreciated.    

Allen
aeallenh at muccmail.missouri.edu


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