Dear members,

I was trying to simulate W which is iid and depends on X and Y. 

Here are 2 methods:

Method 1:
x<-rnorm(100)
y<-rnorm(100)
w<-rnorm(100, 2x+y,1)

Method 2:
x<-rnorm(100)

y<-rnorm(100)

w<-2x+y+rnorm(100,0,1)



Are these methods comparable? 

Since x and y are vectors, the term 2x+y would return a vector. It seems that, given Method 1, each element of W would come from a different population with means depending on the value of x and y. Is that true? Or is Method 1 equally acceptable as Method 2 in creating W?

I'd really appreciate clues to this puzzle! Thanks!

K.





      
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