Two way Factorial arrangement on a RCB
- Treatments are combinations of two factors, such as chemical compositions and methods of applying chemicals. This is an arrangement of treatments within a RCB design.
- Treatments are assigned at random within blocks of adjacent subjects, each treatment once per
- The number of blocks is the number of replications.
- Any treatment can be adjacent to any other treatment, but not to the same treatment within the block.
Different colors represent different combinations of treatments; each horizontal row represents a block. There are 4 blocks and 4 treatment combinations (Aa, Ba, Ab and Bb) in this example.
Block IV Aa Ba Ab Bb
Block III Bb Aa Ba Ab
Block II Ba Bb Ab Aa
Block I Ab Aa Ba Bb
ANOVA table format:
|First factor (F1)
|Second factor (F2)
|First X Second (FxS)
|awhere f=number of treatments in the first factor, s=number of treatments in the second factor and b=number of blocks or replications.|
Sample ANOVA table:
|First X Second
|aF test with 3,9 degrees of freedom at P=0.05 is 3.86|
bF test with 1,9 degrees of freedom at P=0.05 is 5.12
Sample SAS GLM statements:
CLASS BLOCKS FIRST SECOND;
MODEL WHATEVER = BLOCKS FIRST SECOND FIRST*SECOND;
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Thursday, August 17, 2000