I agree.  I typically do not use non-linear functions, so am seeing the
"art" in describing functions of non-linear plots.  One last thing.  I tried
to use a self-starting Weibull function with the posted data and received
the following error.

model<-nls(Level~ SSweibull(Time,Asym,Drop,lrc,pwr))
Error in qr.default(.swts * attr(rhs, "gradient")) :
NA/NaN/Inf in foreign function call (arg 1)

I do not understand the error statement.

kc
On Thu, Aug 26, 2010 at 1:44 PM, Bert Gunter <gunter.ber...@gene.com> wrote:

> My opinions only below; consume at your own risk.
>
> On Thu, Aug 26, 2010 at 2:20 PM, Marlin Keith Cox <marlink...@gmail.com>
> wrote:
> > The background you requested are energetic level (joules) in a group of
> > starved fish over a time period of 45 days.  Weekly, fish (n=5) were
> removed
> > killed and measured for energy.  This was done at three temperatures.  I
> am
> > comparing the rates at which the fish consume stored body energy at each
> of
> > the three temperatures.  Initial data looks like the colder fish
> > have different rates (as would be expected) than do warmer fish.  In all
> > cases the slope is greatest at the beginning of the curve and flattens
> after
> > several weeks. This is what is interesting - where in time the line
> > starts to flatten out.
> >
> > By calculating a non-linear equation of a line, I was hoping to use the
> > first and second derivatives of the function to compare and explain
> > differences between the three temperature.
>
> Bad idea. Derivatives from fitted curves are generally pretty
> imprecisely determined. And you don't need them: If the curves are
> being (adequately/appropriately) parameterized as Weibull, then all
> the information is in the parameters anyway, which can be directly
> modeled, fitted, and compared as functions of temperature -- provided
> that the design permits this (i.e. provides sufficient precision for
> the characterizations/comparisons).
>
> If you don't know how to do this, seek further statistical help.
>
> --
> Bert Gunter
> Genentech Nonclinical Statistics
>
>
> >
> > The data originally posted was an example of one of the curves
> experienced.
> >
> > kc
> >
> > On Thu, Aug 26, 2010 at 9:48 AM, David Winsemius <dwinsem...@comcast.net
> >wrote:
> >
> >>
> >> On Aug 26, 2010, at 1:35 PM, Marlin Keith Cox wrote:
> >>
> >>  I need the parameters estimated for a non-linear equation, an example
> of
> >>> the
> >>> data is below.
> >>>
> >>>
> >>> # rm(list=ls())    I really wish people would add comments to
> destructive
> >>> pieces of code.
> >>>
> >>
> >> Time<-c( 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4,
> >>> 4, 4, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8)
> >>> Level<-c( 100, 110,  90,  95,  87,  60,  65,  61,  55,  57,  40,  41,
>  50,
> >>> 47,
> >>> 44,  44,  42,  38,  40, 37,  37,  35,  40,  34,  32,  20,  22,  25,
>  27,
> >>> 29)
> >>> plot(Time,Level,pch=16)
> >>>
> >>
> >> You did not say what sort of "non-linear equation" would best suit, nor
> did
> >> you offer any background regarding the domain of study. There must be
> many
> >> ways to do this. After looking at the data, a first pass looks like
> this:
> >>
> >> > lm(log(Level) ~Time )
> >>
> >> Call:
> >> lm(formula = log(Level) ~ Time)
> >>
> >> Coefficients:
> >> (Intercept)         Time
> >>     4.4294      -0.1673
> >>
> >> > exp(4.4294)
> >> [1] 83.88107
> >> > points(unique(Time), exp(4.4294 -unique(Time)*0.1673), col="red",
> pch=4)
> >>
> >> Maybe a Weibull model would be more appropriate.
> >>
> >>
> >> --
> >>
> >> David Winsemius, MD
> >> West Hartford, CT
> >>
> >>
> >
> >
>
> >        [[alternative HTML version deleted]]
>  >
> > ______________________________________________
> > R-help@r-project.org mailing list
> > https://stat.ethz.ch/mailman/listinfo/r-help
> > PLEASE do read the posting guide
> http://www.R-project.org/posting-guide.html<http://www.r-project.org/posting-guide.html>
> > and provide commented, minimal, self-contained, reproducible code.
> >
>
>
>
> --
> Bert Gunter
> Genentech Nonclinical Biostatistics
> 467-7374
> http://devo.gene.com/groups/devo/depts/ncb/home.shtml
>



-- 
M. Keith Cox, Ph.D.
Alaska NOAA Fisheries, National Marine Fisheries Service
Auke Bay Laboratories
17109 Pt. Lena Loop Rd.
Juneau, AK 99801
keith....@noaa.gov
marlink...@gmail.com
U.S. (907) 789-6603

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