Janne Huttunen wrote:
Héctor Villalobos wrote:
Hi,

I'm trying to understand why the coefficients "a" and "b" for the model: W = a*L^b estimated via nls() differs from those obtained for the log transformed model: log(W) = log(a) + b*log(L) estimated via lm(). Also, if I didn't make a mistake, R-squared suggests a "better" adjustment for the model using coefficients estimated by lm() . Perhaps I'm doing something wrong in
nls()?

I didn't tried your code, but in general these estimates are different: for the former estimate you minimize the norm of the difference W-a*L^b (W are ) and for the latter you minimize the norm of the difference log(W)-(log(a)+b*log(L)). The solution for these problems are equal. That which approach you should choose depends on errors, for additive error model the former is better choice.

I should read what I have written before sending my message. I meant that the solutions of these problems are NOT equal (in general) and therefore estimates differ.


--
Janne Huttunen
University of California
Department of Statistics
367 Evans Hall Berkeley, CA 94720-3860
email: [EMAIL PROTECTED]
phone: +1-510-502-5205
office room: 449 Evans Hall

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