The GLMMOD Procedure

Example 42.1 A Two-Way Design

The following program uses the GLMMOD procedure to produce the design matrix for a two-way design. The two classification factors have seven and three levels, respectively, so the design matrix contains $\text{[math]}$ columns in all. Output 42.1.1, Output 42.1.2, and Output 42.1.3 display the output produced by the following statements.

   data Plants;
      input Type $ @;
      do Block=1 to 3;
         input StemLength @;
         output;
         end;
      datalines;
   Clarion  32.7 32.3 31.5
   Clinton  32.1 29.7 29.1
   Knox     35.7 35.9 33.1
   O'Neill  36.0 34.2 31.2
   Compost  31.8 28.0 29.2
   Wabash   38.2 37.8 31.9
   Webster  32.5 31.1 29.7
   ;

proc glmmod outparm=Parm outdesign=Design;
   class Type Block;
   model StemLength = Type|Block;
run;

proc print data=Parm;
run;

proc print data=Design;
run;

Output 42.1.1 A Two-Way Design

The GLMMOD Procedure

Class Level Information
Class	Levels	Values
Type	7	Clarion Clinton Compost Knox O'Neill Wabash Webster
Block	3	1 2 3

Number of Observations Read	21
Number of Observations Used	21

Parameter Definitions
Column Number	Name of Associated Effect	CLASS Variable Values
Column Number	Name of Associated Effect	Type	Block
1	Intercept
2	Type	Clarion
3	Type	Clinton
4	Type	Compost
5	Type	Knox
6	Type	O'Neill
7	Type	Wabash
8	Type	Webster
9	Block		1
10	Block		2
11	Block		3
12	Type*Block	Clarion	1
13	Type*Block	Clarion	2
14	Type*Block	Clarion	3
15	Type*Block	Clinton	1
16	Type*Block	Clinton	2
17	Type*Block	Clinton	3
18	Type*Block	Compost	1
19	Type*Block	Compost	2
20	Type*Block	Compost	3
21	Type*Block	Knox	1
22	Type*Block	Knox	2
23	Type*Block	Knox	3
24	Type*Block	O'Neill	1
25	Type*Block	O'Neill	2
26	Type*Block	O'Neill	3
27	Type*Block	Wabash	1
28	Type*Block	Wabash	2
29	Type*Block	Wabash	3
30	Type*Block	Webster	1
31	Type*Block	Webster	2
32	Type*Block	Webster	3

Design Points
Observation Number	StemLength	Column Number
Observation Number	StemLength	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32
1	32.7	1	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	32.3	1	1	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
3	31.5	1	1	0	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
4	32.1	1	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
5	29.7	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
6	29.1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
7	35.7	1	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
8	35.9	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0
9	33.1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0
10	36.0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0
11	34.2	1	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0
12	31.2	1	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0
13	31.8	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
14	28.0	1	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
15	29.2	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0
16	38.2	1	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0
17	37.8	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0
18	31.9	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0
19	32.5	1	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0
20	31.1	1	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0
21	29.7	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1

Output 42.1.2 The OUTPARM= Data Set

Obs	_COLNUM_	EFFNAME	Type	Block
1	1	Intercept
2	2	Type	Clarion
3	3	Type	Clinton
4	4	Type	Compost
5	5	Type	Knox
6	6	Type	O'Neill
7	7	Type	Wabash
8	8	Type	Webster
9	9	Block		1
10	10	Block		2
11	11	Block		3
12	12	Type*Block	Clarion	1
13	13	Type*Block	Clarion	2
14	14	Type*Block	Clarion	3
15	15	Type*Block	Clinton	1
16	16	Type*Block	Clinton	2
17	17	Type*Block	Clinton	3
18	18	Type*Block	Compost	1
19	19	Type*Block	Compost	2
20	20	Type*Block	Compost	3
21	21	Type*Block	Knox	1
22	22	Type*Block	Knox	2
23	23	Type*Block	Knox	3
24	24	Type*Block	O'Neill	1
25	25	Type*Block	O'Neill	2
26	26	Type*Block	O'Neill	3
27	27	Type*Block	Wabash	1
28	28	Type*Block	Wabash	2
29	29	Type*Block	Wabash	3
30	30	Type*Block	Webster	1
31	31	Type*Block	Webster	2
32	32	Type*Block	Webster	3

Output 42.1.3 The OUTDESIGN= Data Set

Obs	StemLength	Col1	Col2	Col3	Col4	Col5	Col6	Col7	Col8	Col9	Col10	Col11	Col12	Col13	Col14	Col15	Col16	Col17	Col18	Col19	Col20	Col21	Col22	Col23	Col24	Col25	Col26	Col27	Col28	Col29	Col30	Col31	Col32
1	32.7	1	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
2	32.3	1	1	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
3	31.5	1	1	0	0	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
4	32.1	1	0	1	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
5	29.7	1	0	1	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
6	29.1	1	0	1	0	0	0	0	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
7	35.7	1	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0
8	35.9	1	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0
9	33.1	1	0	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0
10	36.0	1	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0
11	34.2	1	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0
12	31.2	1	0	0	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0
13	31.8	1	0	0	1	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
14	28.0	1	0	0	1	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0
15	29.2	1	0	0	1	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0
16	38.2	1	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0
17	37.8	1	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0
18	31.9	1	0	0	0	0	0	1	0	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0
19	32.5	1	0	0	0	0	0	0	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0
20	31.1	1	0	0	0	0	0	0	1	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0
21	29.7	1	0	0	0	0	0	0	1	0	0	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1