On Sep 17, 2009, at 11:13 AM, Peng Yu wrote:

Hi,

I don't understand what the meaning of the following lines returned by
model.matrix(). Can somebody help me understand it? What can they be
used for?

attr(,"assign")
[1] 0 1 2 2
attr(,"contrasts")
attr(,"contrasts")$A
[1] "contr.treatment"

attr(,"contrasts")$B
[1] "contr.treatment"

?contrasts.

---direct quote---
contr.treatment contrasts each level with the baseline level (specified by base): the baseline level is omitted. Note that this does not produce ‘contrasts’ as defined in the standard theory for linear models as they are not orthogonal to the intercept.
---end quote---

Also read through (again?):

?aov

--
David.



Regards,
Peng

a=2
b=3
n=4
A = rep(sapply(1:a,function(x){rep(x,n)}),b)
B = as.vector(sapply(sapply(1:b, function(x){rep(x,n)}), function(x) {rep(x,a)}))
Y = A + B + rnorm(a*b*n)
fr = data.frame(Y=Y,A=as.factor(A),B=as.factor(B))
afit=aov(Y ~ A + B,fr)
model.matrix(afit)
  (Intercept) A2 B2 B3
1            1  0  0  0
2            1  0  0  0
3            1  0  0  0
4            1  0  0  0
5            1  1  0  0
6            1  1  0  0
7            1  1  0  0
8            1  1  0  0
9            1  0  1  0
10           1  0  1  0
11           1  0  1  0
12           1  0  1  0
13           1  1  1  0
14           1  1  1  0
15           1  1  1  0
16           1  1  1  0
17           1  0  0  1
18           1  0  0  1
19           1  0  0  1
20           1  0  0  1
21           1  1  0  1
22           1  1  0  1
23           1  1  0  1
24           1  1  0  1
attr(,"assign")
[1] 0 1 2 2
attr(,"contrasts")
attr(,"contrasts")$A
[1] "contr.treatment"

attr(,"contrasts")$B
[1] "contr.treatment"


David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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