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