These pages describe regression models
where you specify a nonlinear functional relationship. Also see Category: Linear regression. Other entries about nonlinear regression can be found in the
nonlinear regression page at the
StATS website.
2008
[[There is no material yet from my new site.]]
Other resources:
All of the material above this paragraph is licensed under a
Creative Commons Attribution 3.0 United States License. This page was written by
Steve Simon and was last modified on
2010-04-11.
The material below this paragraph links to
my old website, StATS. Although I wrote all of the material
listed below, my ex-employer, Children's Mercy Hospital, has claimed copyright
ownership of this material. The brief excerpts shown here are included under
the fair use provisions of U.S. Copyright laws.
2007
- Stats: Fitting a
difference in exponential functions (January 26, 2007). I was presented
with a data set of sixteen subjects that showed a rise in values from zero to
a maximum followed by gradual return of those values to zero for each
subject. Data of this form can often be modeled by a difference of
exponential functions.
2006
- Stats: (Seminar notes) Missing
values in a dose response model (July 17, 2006). One of the talks at the
18th Annual Applied Statistics in Agriculture Conference, sponsored by Kansas
State University was "Dose-Response Modeling with Marginal Information on
Missing Categorical Covariate" by John R. Stevens, Utah State University.
David I. Schlipalius, of The University of Queensland was a co-author.
2005
- Stats: Growth curves (March 1,
2005). The New York Times has a nice article about Dr. James Tanner, an
expert on childhood growth. This article contrasts the growth charts
developed by Dr. Tanner with growth charts developed by the U.S. Centers for
Disease Control and Prevention.
2004
- Stats: Nonlinear Least Squares in
S-plus and R (June 28, 2004). I've worked on a brief explanation of how
to fit an S-shaped curve using SPSS and someone wanted to know how to do this
in S-plus. Here's a simple example.
- Stats: Guidelines for nonlinear regression
models (May 26, 2004). There are three steps in a typical nonlinear
regression analysis. [incomplete]
- Stats: S-shaped curves (February 12, 2004).
Competitive binding experiments will often need a nonlinear regression model.
This model has to level off at both extremes to represent almost no binding
at one end and saturated binding at the other end. This behavior is usually
represented by an S-shaped curve. In this web page, I will describe some of
the equations that you might use to represent an S-shaped curve.
2003
- Stats: A simple model of nonlinear
growth (October 1, 2003). Part of the challenge in nonlinear regression
is to choose the correct form of the nonlinear relationship. Part of this is
intuition, part of this is understanding some basic mathematics, and part of
it is just trial and error.
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