Zaheer Abbas
2012-Dec-05 15:09 UTC
[R] Incidence Matrix of Experimental Design Using R language Program
Hi
I am working on educational assignment to produce an *Incidence matrix *from
a *BIB design *using R language software.
I found a web page *http://wiki.math.yorku.ca/index.php/R:_Incidence_matrix
* about the problem. But it produces Data matrix instead of
Incidence matrix. can you please help me out using R software.
thanks and regards
zaheer
*following are the sample codes of my assignment with resultant "Incidence
Matrix" as mentioned in above link, but this is, according to my knowledge,
Data matrix of any experimental design. *
b=4 #Number of Blocks
t=4 #Number of Column
z=c(1,2,3) #Shift
m=NULL
y=c(0)
w=c(y,cumsum(z) %%t)
print("The Initial Block is=")
print(w)
p=seq(from=0, to=t-1, by=1)
l=NULL
for(i in 1:b)
{
for(j in 1:t)
{
l=c(l,rep((w[i]+p[j]+t)%% t))
}
}
x= matrix(c(l),nrow=b,ncol=t,byrow = TRUE)
print("The Design Layout is ")
print.matrix <- function(x){
write.table(format(x, justify="right"),
row.names=F,col.names=F,quote=F
})
print(x)
*"BIB design Output"*
[,1] [,2] [,3] [,4]
[1,] 0 1 2 3
[2,] 1 2 3 0
[3,] 3 0 1 2
[4,] 2 3 0 1
vec <- c(as.matrix(x)) # converting matrix into Vector for incidence
correct matrix
a=t(x)%*%x
print.matrix <- function(a){
write.table(format(a, justify="right"),
row.names=F, col.names=F, quote=F)
}
print("X’X ")
print(a)
A=contrasts( as.factor(x), contrasts =FALSE)[ as.factor(x),]
print.matrix <- function(A){
write.table(format(A, justify="right"),
row.names=F, col.names=F, quote=F)
}
print("The Incidence Matrix is=")
print(A)
*OUTPUT*
1 0 0 0
0 1 0 0
0 0 0 1
0 0 1 0
0 1 0 0
0 0 1 0
1 0 0 0
0 0 0 1
0 0 1 0
0 0 0 1
0 1 0 0
1 0 0 0
0 0 0 1
1 0 0 0
0 0 1 0
0 1 0 0
*I need this *
* 1 1 1 1*
* 1 1 1 1*
* 1 1 1 1*
* 1 1 1 1*
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