Hello and thank to anyone who will help.

I have a factorial experiment whith 2 factors, A and B (3*4) where there are
4 blocks. This gives a total of 48 experimental units. All 12 treatment
combinations have been randomized over the 12
units, and this, in each of the 4 blocks.


My question is : which error term should I use to test the fixed effect
(blocks are considered random).

I suggest the following :

effect       d.f.
Block          3
A                2
A*block       6 : error term to test factor A
B                 3
B*block       9 : error term to test factor B
A*B             6
A*B*block  18 : error term to test interaction
total            47

In some exemples I found, the 3 error terms are pooled into one, which is
used to test all the fixed effect. What is the correct way to proceed.

My design is in fact more complicated, including repeated measures, each
block been measured three times. Thus I
am using proc mixed of SAS to perform the analysis and I am specifying the
random statement as follows :
random block  block*A   block*B   block*A*B
which gives the d.f. presented before.
I also include a repeated statement.

Thanks,

Joël Rivest




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