2 way cross classification ANOVA

beast

New Member
#1
hey there,
I need to suggest why when partitioning the total sum of squares in a 2 way cross classification ANOVA into the individual sum of squares, all 'cross product' terms are zero.

I know that this is true, I have even done an example to show that it's true. But I dont really understand 'why'. So I cannot suggest a reason.

Any help would be much appreciated . Thankyou for your time :)
 

JohnM

TS Contributor
#2
I believe that whenever you do a cross product of two "independent" vectors (i.e., perpendicular), you get 0.