[R] table of variance analysis

[Roger Bivand]

On Thu, 21 Mar 2002, Lecca Paola wrote:

> Hello everybody !
> 
> I want to evaluate the goodness of the fit of a trend surface. I use the
> Least square methods and the function surf.ls. The I write
> 
> tma3.sur3 <- surf.ls(3, x, y, z)
> summary(tma3.sur3)
> 
> Now the question: is the Pr(>F) the probability to obtain a value of
> F equal or greater than the obtained one ? Is the confidence level 0.05 ?
> 
The value of Pr(>F) is the probability that a value of F of the size
observed could have arisen under the null hypothesis of no relationship
between z and the trend surface in the coordinates (x, y), given the
assumptions made in the model. It is the same as in an anova() of a linear
model object. Confidence levels and probability values are related, but
not the same thing, perhaps a statistics textbook would help?

Roger

-- 
Roger Bivand
Economic Geography Section, Department of Economics, Norwegian School of
Economics and Business Administration, Breiviksveien 40, N-5045 Bergen,
Norway. voice: +47 55 95 93 55; fax +47 55 95 93 93
e-mail: Roger.Bivand at nhh.no
and: Department of Geography and Regional Development, University of
Gdansk, al. Mar. J. Pilsudskiego 46, PL-81 378 Gdynia, Poland.

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