H projects vectors onto the range of X so any vector already in the range of X gets projected onto itself.
On Sun, Oct 11, 2009 at 2:03 PM, Peng Yu <pengyu...@gmail.com> wrote: > Suppose I have the following hat matrix: > > H=X(X'X)^{-1}X' > X is a n by p matrix, where n >= p and X_{i,1} = 1 > > I'm wondering why H1 = 1. (Here, 1 is column vector, whose each > element is the number 1) > > Thank you! > > ______________________________________________ > R-help@r-project.org mailing list > 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. > ______________________________________________ R-help@r-project.org mailing list 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.