Example 50.2: A Hierarchical Design
In this example, three plants are nested within
four pots, which are nested within three houses.
The FACTORS statement requests a random permutation of the numbers
1, 2, and 3 to choose Houses randomly.
The second step requests a random permutation of
the numbers 1, 2, 3, and 4 for each of those first three numbers
to randomly assign Pots to Houses.
Finally, the FACTORS statement requests a random
permutation of 1, 2, and 3 for each of the twelve
integers in the second set of permutations.
This last step randomly assigns Plants to Pots.
The following statements produce Output 50.2.1:
title 'Hierarchical Design';
proc plan seed=17431;
factors Houses=3 Pots=4 Plants=3 / noprint;
output out=nested;
run;
proc print data=nested;
run;
Output 50.2.1: A Hierarchical Design
Obs 
Houses 
Pots 
Plants 
1 
1 
3 
2 
2 
1 
3 
3 
3 
1 
3 
1 
4 
1 
1 
3 
5 
1 
1 
1 
6 
1 
1 
2 
7 
1 
2 
2 
8 
1 
2 
3 
9 
1 
2 
1 
10 
1 
4 
3 
11 
1 
4 
2 
12 
1 
4 
1 
13 
2 
4 
1 
14 
2 
4 
3 
15 
2 
4 
2 
16 
2 
2 
2 
17 
2 
2 
1 
18 
2 
2 
3 
19 
2 
3 
2 
20 
2 
3 
3 
21 
2 
3 
1 
22 
2 
1 
2 
23 
2 
1 
3 
24 
2 
1 
1 
25 
3 
4 
1 
26 
3 
4 
3 
27 
3 
4 
2 
28 
3 
1 
3 
29 
3 
1 
2 
30 
3 
1 
1 
31 
3 
2 
1 
32 
3 
2 
2 
33 
3 
2 
3 
34 
3 
3 
3 
35 
3 
3 
2 
36 
3 
3 
1 

Copyright © 1999 by SAS Institute Inc., Cary, NC, USA. All rights reserved.