On Apr 21, 2010, at 8:37 AM, Andrea Bernasconi DG wrote:

Dear Madame, Dear Sir,

I am able to obtain the coefficients from a 'summary' of 'lm', but NOT from a 'summary' of 'aov'.
The following example shows my steps.

## Initialize
rm(list = ls()) # remove (almost) everything in the working environment

@#$%^&*() DON'T DO THAT.... luckily I left off the "l" when I copied and pasted but otherwise this would have trashed my workspace.

utils::data(npk, package="MASS") # get data
model <- yield ~ block + N*P*K

## Using lm
npk.lm <- lm(model, npk)
( s.npk.lm <- summary(npk.lm) )

...
           Estimate Std. Error t value Pr(>|t|)
(Intercept)  54.8750     0.8021  68.415  < 2e-16 ***
block1        1.7125     1.3893   1.233  0.24131
block2        1.6792     0.8021   2.093  0.05822 .
block3       -1.8229     0.5672  -3.214  0.00744 **
...

s.npk.lm$coef["block1","Pr(>|t|)"] # this works
[1] 0.2413061

## Using aov
npk.aov <- aov(model, npk)

str(npk.aov)

> npk.aov$coefficients
(Intercept) block2 block3 block4 block5 block6 N1 51.8250000 3.4250000 6.7500000 -3.9000000 -3.5000000 2.3250000 9.8500000
         P1          K1       N1:P1       N1:K1       P1:K1    N1:P1:K1
  0.4166667  -1.9166667  -3.7666667  -4.7000000   0.5666667          NA

Or reading the help pages one might have tried, although I will admit that the differences in parametrization confounded my efforts at describing a linear combination of those results to create the simpler result offered above:

?model.tables
> model.tables(npk.aov, "effects")
Tables of effects

 block
block
     1      2      3      4      5      6
-0.850  2.575  5.900 -4.750 -4.350  1.475

 N
N
      0       1
-2.8083  2.8083

 P
P
      0       1
 0.5917 -0.5917

 K
K
      0       1
 1.9917 -1.9917

 N:P
   P
N   0       1
  0 -0.9417  0.9417
  1  0.9417 -0.9417

 N:K
   K
N   0      1
  0 -1.175  1.175
  1  1.175 -1.175

 P:K
   K
P   0        1
  0  0.14167 -0.14167
  1 -0.14167  0.14167

>
( s.npk.aov <- summary(npk.aov) )

...
           Df Sum Sq Mean Sq F value   Pr(>F)
block        5 343.29  68.659  4.4467 0.015939 *
N            1 189.28 189.282 12.2587 0.004372 **
P            1   8.40   8.402  0.5441 0.474904
...

s.npk.aov$coef["block","Pr(>F)"] # this does NOT works

...
NULL
...

How to obtain the coefficients from a 'summary'  of 'aov' ?

In advance, I thank you very much for your eventual answer.

Sincerely, Andrea Bernasconi

mobile: +41 79 621 74 07
URL: 
http://web.me.com/andrea.bernasconi.dg/Andrea_Bernasconi_DG_home_page/HOME.html

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David Winsemius, MD
West Hartford, CT

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and provide commented, minimal, self-contained, reproducible code.

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