Hello Florian,
The best fit only depends on the relative statistical errors. The
estimated parameter error is a purely statistical error and can be
estimated from the sample. Systematic parameter errors are not
estimated. Yes, parameter errors grow with measurement errors.
Take care
I noticed that nls treats weights as relative and that the absolute size of the
weights w in
the following script has therefore no influence on the errors of the parameters
reported in the summary
a<-1
b<-3
x<--100:100
y<-a*x+b
yeps<-y+rnorm(length(x),sd=1)
w<-rep(1,length(x))
plot(x,yeps)
lin
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