The following statements depict how to create an appropriately randomized generalized cyclic incomplete block design for treatments (given by the value of t) in blocks (given by the value of b) of size (with values of p indexing the cells within a block) with initial block and increment number .
factors b=p=; |
|
treatments t=of cyclic () ; |
For example, the specification
proc plan seed=37430; factors b=10 p=4; treatments t=4 of 30 cyclic (1 3 4 26) 2; run;
generates the generalized cyclic incomplete block design given in Example 1 of Jarrett and Hall (1978), which is given by the rows and columns of the plan associated with the treatment factor t in Output 67.5.1.
Plot Factors | |||
---|---|---|---|
Factor | Select | Levels | Order |
b | 10 | 10 | Random |
p | 4 | 4 | Random |
Treatment Factors | ||||
---|---|---|---|---|
Factor | Select | Levels | Order | Initial Block / Increment |
t | 4 | 30 | Cyclic | (1 3 4 26) / 2 |
b | p | t | ||||||
---|---|---|---|---|---|---|---|---|
2 | 2 | 3 | 1 | 4 | 1 | 3 | 4 | 26 |
1 | 3 | 2 | 4 | 1 | 3 | 5 | 6 | 28 |
3 | 2 | 3 | 4 | 1 | 5 | 7 | 8 | 30 |
10 | 4 | 2 | 3 | 1 | 7 | 9 | 10 | 2 |
9 | 4 | 1 | 2 | 3 | 9 | 11 | 12 | 4 |
4 | 1 | 3 | 2 | 4 | 11 | 13 | 14 | 6 |
5 | 1 | 2 | 4 | 3 | 13 | 15 | 16 | 8 |
8 | 3 | 2 | 4 | 1 | 15 | 17 | 18 | 10 |
7 | 2 | 4 | 1 | 3 | 17 | 19 | 20 | 12 |
6 | 2 | 1 | 4 | 3 | 19 | 21 | 22 | 14 |