The Randomized Complete Block (RCB) with subsampling
- Replications of treatments are assigned completely at random to independent groups of experimental subjects within blocks.
- Each treatment is repeated more than once per block.
Different colors represent different treatments. Blocks are
arranged in vertical rows. There are 4 blocks (I-IV) of 3 treatments (A-C) with 3 subsamples (a-c).
Aa Ab Ac + Ba Bb Bc + Ca Cb Cc + Ba Bb Bc
Ba Bb Bc + Aa Ab Ac + Ba Bb Bc + Aa Ab Ac
Ca Cb Cc + Ca Cb Cc + Aa Ab Ac + Ca Cb Cc
Block I + Block II + Block III + Block IV
ANOVA table format:
|Experimental Error (E)
|Sampling Error (S)
|awhere t=number of treatments, b=number of blocks and s=number of subsamples.|
Sample ANOVA table:
|aF test with 3,6 degrees of freedom at P=0.05 is 4.76|
bF test with 2,6 degrees of freedom at P=0.05 is 5.14
cF test with 6,24 degrees of freedom at P=0.05 is 2.51
Sample SAS GLM statements:
CLASS BLOCKS TREATS;
MODEL WHATEVER = BLOCKS TREATS TREATS*BLOCKS;
TEST H = BLOCKS TREATS E = TREATS*BLOCKS;
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Wednesday, August 16, 2000