The PLAN Procedure

Example 87.5 A Generalized Cyclic Incomplete Block Design

(View the complete code for this example.)

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 and increment number i.

 

factors b=b p=k ;

 

treatments t=k of v cyclic ( ) 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 87.5.1.

Output 87.5.1: A Generalized Cyclic Incomplete Block Design

The PLAN Procedure

Plot Factors
FactorSelectLevelsOrder
b1010Random
p44Random

Treatment Factors
FactorSelectLevelsOrderInitial Block / Increment
t430Cyclic(1 3 4 26) / 2

bpt
2231413426
1324135628
3234157830
10423179102
94123911124
413241113146
512431315168
8324115171810
7241317192012
6214319212214