You cannot have columns which are linearly dependent.

Starting a project which uses statistics without having some sort of local statistical backup seems unprofitable.

install.packages("fortunes") # if not already done
library(fortunes)
fortune(122)

On 02/04/2015 15:20, Fix Ace wrote:
Thank you very much for the response. Then what does it mean? I am not a
stat person, but have to use it for my project. :(

Could you please recommend some readings about it? Thanks a lot!



On Wednesday, April 1, 2015 10:58 AM, Michael Dewey
<li...@dewey.myzen.co.uk> wrote:


This is really a question about statistics rather than R but see below

On 01/04/2015 06:28, Fix Ace wrote:
 > I tried to run the sample code from R:
 > dd <- data.frame(a = gl(3,4), b = gl(4,1,12))  a b
 > 1  1 1
 > 2  1 2
 > 3  1 3
 > 4  1 4
 > 5  2 1
 > 6  2 2
 > 7  2 3
 > 8  2 4
 > 9  3 1
 > 10 3 2
 > 11 3 3
 > 12 3 4
 > options("contrasts")
 > model.matrix(~ a + b, dd)(Intercept) a2 a3 b2 b3 b4
 > 1            1  0  0  0  0  0
 > 2            1  0  0  1  0  0
 > 3            1  0  0  0  1  0
 > 4            1  0  0  0  0  1
 > 5            1  1  0  0  0  0
 > 6            1  1  0  1  0  0
 > 7            1  1  0  0  1  0
 > 8            1  1  0  0  0  1
 > 9            1  0  1  0  0  0
 > 10          1  0  1  1  0  0
 > 11          1  0  1  0  1  0
 > 12          1  0  1  0  0  1
 > when I tried to remove the intercept from the matrix, I used the
following codemodel.matrix(~ 0+a + b, dd)
 >  a1 a2 a3 b2 b3 b41 1 0 0 0 0 02 1 0 0 1 0 03 1 0 0 0 1 04 1 0 0 0 0
15 0 1 0 0 0 06 0 1 0 1 0 07 0 1 0 0 1 08 0 1 0  0 0 19 0 0 1 0 0 010 0
0 1 1 0 011 0 0 1 0 1 012 0 0 1 0 0 1 when I tried to remove the intercept
 >

That got mangled but

In your matrix below try forming the sum of a1+a2+a3 and the sum of
b1+b2+b3+b4. I think you will find they are linearly related.


 > Here I noticed that, all levels of a, a1, a2, and a3, were included.
I wonder how  I can include the "b1" in the matrix as well?  a1 a2 a3 b1
b2 b3 b4
 > 1  1  0  0  1  0  0  0
 > 2  1  0  0  0  1  0  0
 > 3  1  0  0  0  0  1  0
 > 4  1  0  0  0  0  0  1
 > 5  0  1  0  1  0  0  0
 > 6  0  1  0  0  1  0  0
 > 7  0  1  0  0  0  1  0
 > 8  0  1  0  0  0  0  1
 > 9  0  0  1  1  0  0  0
 > 10  0  0  1  0  1  0  0
 > 11  0  0  1  0  0  1  0
 > 12  0  0  1  0  0  0  1

 >
 >     [[alternative HTML version deleted]]
 >
 > ______________________________________________
 > R-help@r-project.org <mailto:R-help@r-project.org> mailing list -- To
UNSUBSCRIBE and more, see
 > https://stat.ethz.ch/mailman/listinfo/r-help
 > PLEASE do read the posting guide
http://www.R-project.org/posting-guide.html
<http://www.r-project.org/posting-guide.html>
 > and provide commented, minimal, self-contained, reproducible code.
 >

--
Michael
http://www.dewey.myzen.co.uk/home.html




--
Michael
http://www.dewey.myzen.co.uk/home.html

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