curvefit.com. Guide to nonlinear regression.Try our software free for 30 days.StatMate leads you step by step through power and sample size calculations.InStat is a less cumbersome alternative to typical heavy-duty statistical programs. With InStat, even a statistical novice can analyze data in just a few minutes.Prism is a powerful combination of basic biostatistics, curve fitting and scientific graphing in one comprehensive program.GraphPad Software. Data analysis and biostatistics resources.


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Table of contents
Intro to regression
Nonlinear regression
Curve fitting with Prism
Interpreting the results


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Questions
Are results sensible?
SE and CI
Goodness of fit
Systematic deviation
Local minimum
Assumptions
Common errors
Comparing two curves
Distributions of best-fit values
Radioligand binding
Saturation binding
Competitive binding
Kinetics of binding
Dose-response curves
Enzyme kinetics
Standard curves
More information
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curvefit.com was created by GraphPad Software, Inc. Send comments or questions to the author of these pages, Dr. Harvey Motulsky, president of GraphPad Software.

In April 2003, GraphPad released Prism 4 and published Fitting Models to Biological Data using Linear and Nonlinear Regression. This book includes all the information that comprises curvefit.com, and much more. You can read this book as a pdf file.

Have you made a common error when using nonlinear regression?

Consider these possibilities if you obtained an error message rather than results, or if the nonlinear regression results made no sense.

Potential problem Solution
The equation simply does not describe the data. Try a different equation.
The initial values are too far from their correct values. Enter different initial values. If you entered your own equation, check the rules for initial values. See                                                          .
The range of X values is too narrow to define the curve completely. If possible, collect more data. Otherwise, hold one of the variables to a constant value.
You have not collected enough data in a critical range of X values. Collect more data in the important regions.
Your data are very scattered and don't really define a curve. Try to collect less scattered data. If you are combining several experiments, normalize the data for each experiment to an internal control.
The equation includes more than one component, but your data don't follow a multicomponent model. Use a simpler equation.
Your numbers are too large. If your X or Y values are huge, change the units. Avoid values greater than about 10000.
Your numbers are too small. If your X or Y values are tiny, change the units. Avoid values less than about 0.001.
You've set a parameter to an inappropriate constant value. Either don't set the parameter to a constant value, or change that value. Perhaps you made a simple mistake like setting a maximum plateau to 1.0 when it should be  100, or a Hill slope to +1.0 when it should be -1.0.


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