Re: optimal design for nonlinear model in R

Thanks for all the answers!


"Old Mac User" <chendrixstats@xxxxxxxx> wrote in message
news:1148406442.709934.237590@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
The optimal placement of points (the "design") for a model which is
nonlinear in the parameters of the model will depend upon the values of
those parameters... alpha and beta. I know that sounds "strange"
because you don't know the values of those parameters. So the trick is
to get preliminary estimates of them and move forward from there.

Once we have early estimates of the parameters we can calculate the
optimal
(or near-optimal) placement of future experimental points (the
"design".)

In general, the optimal design will not be a factorial or fractional
factorial. For instance, if you have only two parameters to be
estimated (alpha and beta) then the optimal design will be two
experimental combinations. That begs the matter of having some
leftover degrees of freedom for "lack of fit" and/or to test the
validity of the model.

Designing experimental to estimate parameters in models which are
nonlinear in the parameters is a specialized subject... not easily
"canned" into software since it requires several operations, some of
which require judgement.



.

Relevant Pages

  • I forget the Induction Joke ...
    ... Drama in one act with 4 characters: The Grand Alpha, The Grand Beta, ... The Grand Omicron, and The Candidate. ... Please define a compact set. ...
    (rec.org.mensa)
  • Re:Re: Alpha, beta, ....
    ... Firefox 3 was done at alpha 3 (when i never hit a bug again and it pa? ... hanges to beta 1. ... I for one was happy to see Firefox 3 as in 7.10, ... There must be a different than gnash tool to play swf as I don't have gnash? ...
    (Ubuntu)
  • Re: The Dangerous Liberty of Engineering vs. Lukewarm Dominionism
    ... with alpha, beta, and gamma also part of a smooth mani- ... violates CPT invariance, ...
    (sci.space.policy)
  • Re: Accessing an invoking classs getters?
    ... >> from Alpha to Beta, even a fairly long list of values, ... > If there's no other relation between an instance of an Alpha and a Beta, ... > this would be the prefered method, as you then decouple the dependence to ... should probably be called AlphaPreferences, ...
    (comp.lang.java.programmer)
  • Re: interpolation theorem of propositional logic
    ... beta. ... Depends on what one understands by sentence symbols. ... from propositional variables to propositional ...
    (sci.logic)