Chapter Contents Previous Next
 The PLAN Procedure

## Example 50.3: An Incomplete Block Design

Jarrett and Hall (1978) give an example of a generalized cyclic design with good efficiency characteristics. The design consists of two replicates of 52 treatments in 13 blocks of size 8. The following statements use the PLAN procedure to generate this design in an appropriately randomized form and store it in a SAS data set. Then, the TABULATE procedure is used to display the randomized plan. The following statements produce Output 50.3.1 and Output 50.3.2:

```   title 'Generalized Cyclic Block Design';
proc plan seed=33373;
treatments trtmts=8 of 52 cyclic (1 2 3 4 32 43 46 49) 4;
factors blocks=13 plots=8;
output out=c;
quit;

proc tabulate;
class blocks plots;
var trtmts;
table blocks, plots*(trtmts*f=8.) / rts=8;
run;
```

Output 50.3.1: A Generalized Cyclic Block Design

 Generalized Cyclic Block Design

 The PLAN Procedure

 Plot Factors Factor Select Levels Order blocks 13 13 Random plots 8 8 Random

 Treatment Factors Factor Select Levels Order Initial Block / Increment trtmts 8 52 Cyclic (1 2 3 4 32 43 46 49) / 4

 blocks plots trtmts 10 7 4 8 1 2 3 5 6 1 2 3 4 32 43 46 49 8 1 2 4 3 8 6 5 7 5 6 7 8 36 47 50 1 9 2 5 4 7 3 1 8 6 9 10 11 12 40 51 2 5 6 4 2 6 8 3 7 1 5 13 14 15 16 44 3 6 9 7 4 7 6 3 1 2 8 5 17 18 19 20 48 7 10 13 4 4 8 1 5 3 6 7 2 21 22 23 24 52 11 14 17 2 6 2 3 8 7 5 1 4 25 26 27 28 4 15 18 21 3 6 2 3 1 7 4 5 8 29 30 31 32 8 19 22 25 1 1 2 7 8 5 6 3 4 33 34 35 36 12 23 26 29 5 5 7 6 8 4 3 1 2 37 38 39 40 16 27 30 33 12 5 8 1 4 7 3 6 2 41 42 43 44 20 31 34 37 13 3 5 1 8 4 2 6 7 45 46 47 48 24 35 38 41 11 4 1 5 2 3 8 6 7 49 50 51 52 28 39 42 45

Output 50.3.2: A Generalized Cyclic Block Design

 Generalized Cyclic Block Design

 plots 1 2 3 4 5 6 7 8 trtmts trtmts trtmts trtmts trtmts trtmts trtmts trtmts Sum Sum Sum Sum Sum Sum Sum Sum blocks 33 34 26 29 12 23 35 36 1 2 18 26 27 21 15 25 4 28 3 32 30 31 19 22 29 8 25 4 23 17 52 21 24 11 14 22 5 30 33 27 16 37 39 38 40 6 6 14 44 13 9 15 3 16 7 48 7 20 17 13 19 18 10 8 5 6 8 7 50 47 1 36 9 51 9 40 11 10 5 12 2 10 4 32 43 2 46 49 1 3 11 50 52 28 49 51 42 45 39 12 43 37 31 44 41 34 20 42 13 47 35 45 24 46 38 41 48

 Chapter Contents Previous Next Top