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 12 integers in the second set of permutations. This
last step randomly assigns Plants
to Pots
. The following statements produce Output 74.2.1:
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 74.2.1: A Hierarchical Design
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 |