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.