f.pvalue <-
function(dat,mod,mod0){
# This is a function for performing
# parametric f-tests on the data matrix
# dat comparing the null model mod0
# to the alternative model mod.
n <- ncol(dat)
m <- nrow(dat)
df1 <- ncol(mod)
df0 <- ncol(mod0)
p <- rep(0,m)
Id <- diag(n)
res <- dat %*% (Id - mod %*% solve(t(mod) %*% mod) %*% t(mod))
res0 <- dat %*% (Id - mod0 %*% solve(t(mod0) %*% mod0) %*% t(mod0))
rss1 <- res^2 %*% rep(1,n)
rss0 <- res0^2 %*% rep(1,n)
fstats <- ((rss0 - rss1)/(df1-df0))/(rss1/(n-df1))
p <- 1-pf(fstats,df1=(df1-df0),df2=(n-df1))
return(p)
}
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