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 The PLAN Procedure

## Example 50.5: A Generalized Cyclic Incomplete Block Design

The following statements depict how to create an appropriately randomized generalized cyclic incomplete block design for v treatments (given by the value of t) in b blocks (given by the value of b) of size k (with values of p indexing the cells within a block) with initial block (e1   e2   ...   ek) and increment number i.

 `factors b=`b `p=`k `;` `treatments t=`k `of` v `cyclic (`e1   e2   ...   ek `)` i `;`

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 50.5.1.

Output 50.5.1: A Generalized Cyclic Incomplete Block Design

 The PLAN Procedure

 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

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