Three-way Factorial Design (all fixed) 1
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
Obs CONCENT CTIME PRESS STRENGTH
1 2 3 400 196.6
2 2 3 400 196.0
3 2 3 500 197.7
4 2 3 500 196.0
5 2 3 650 199.8
6 2 3 650 199.4
7 2 4 400 198.4
8 2 4 400 198.6
9 2 4 500 199.6
10 2 4 500 200.4
11 2 4 650 200.6
12 2 4 650 200.9
13 4 3 400 198.5
14 4 3 400 197.2
15 4 3 500 196.0
16 4 3 500 196.9
17 4 3 650 198.4
18 4 3 650 197.6
19 4 4 400 197.5
20 4 4 400 198.1
21 4 4 500 198.7
22 4 4 500 198.0
23 4 4 650 199.6
24 4 4 650 199.0
25 8 3 400 197.5
26 8 3 400 196.6
27 8 3 500 195.6
28 8 3 500 196.2
29 8 3 650 197.4
30 8 3 650 198.1
31 8 4 400 197.6
32 8 4 400 198.4
33 8 4 500 197.0
34 8 4 500 197.8
35 8 4 650 198.5
36 8 4 650 199.8
Three-way Factorial Design (all fixed) 2
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
------------------------------------------------------------------------
| | COOKING TIME |
| |---------------------------------------------------|
| | 3 | 4 |
| |--------------------------------------+------------|
| | PRESSURE | PRESSURE |
| |--------------------------------------+------------|
| | 400 | 500 | 650 | 400 |
| |------------+------------+------------+------------|
| |STRENGTH OF |STRENGTH OF |STRENGTH OF |STRENGTH OF |
| | PAPER (2 | PAPER (2 | PAPER (2 | PAPER (2 |
| |REPLICATES) |REPLICATES) |REPLICATES) |REPLICATES) |
| |------------+------------+------------+------------|
| | Y(IJK) | Y(IJK) | Y(IJK) | Y(IJK) |
|------------------+------------+------------+------------+------------|
|HARDWOOD | | | | |
|CONCENTRATION % | | | | |
|------------------| | | | |
|2 | 392.60| 393.70| 399.20| 397.00|
|------------------+------------+------------+------------+------------|
|4 | 395.70| 392.90| 396.00| 395.60|
|------------------+------------+------------+------------+------------|
|8 | 394.10| 391.80| 395.50| 396.00|
------------------------------------------------------------------------
(Continued)
Three-way Factorial Design (all fixed) 3
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
----------------------------------------------
| | COOKING TIME |
| |-------------------------|
| | 4 |
| |-------------------------|
| | PRESSURE |
| |-------------------------|
| | 500 | 650 |
| |------------+------------|
| |STRENGTH OF |STRENGTH OF |
| | PAPER (2 | PAPER (2 |
| |REPLICATES) |REPLICATES) |
| |------------+------------|
| | Y(IJK) | Y(IJK) |
|------------------+------------+------------|
|HARDWOOD | | |
|CONCENTRATION % | | |
|------------------| | |
|2 | 400.00| 401.50|
|------------------+------------+------------|
|4 | 396.70| 398.60|
|------------------+------------+------------|
|8 | 394.80| 398.30|
----------------------------------------------
Three-way Factorial Design (all fixed) 4
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
The GLM Procedure
Class Level Information
Class Levels Values
CONCENT 3 2 4 8
CTIME 2 3 4
PRESS 3 400 500 650
Number of observations 36
Three-way Factorial Design (all fixed) 5
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
The GLM Procedure
Dependent Variable: STRENGTH
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 17 59.72888889 3.51346405 9.61 <.0001
Error 18 6.58000000 0.36555556
Corrected Total 35 66.30888889
R-Square Coeff Var Root MSE STRENGTH Mean
0.900767 0.305274 0.604612 198.0556
Source DF Type I SS Mean Square F Value Pr > F
CONCENT 2 7.76388889 3.88194444 10.62 0.0009
CTIME 1 20.25000000 20.25000000 55.40 <.0001
CONCENT*CTIME 2 2.08166667 1.04083333 2.85 0.0843
PRESS 2 19.37388889 9.68694444 26.50 <.0001
CONCENT*PRESS 4 6.09111111 1.52277778 4.17 0.0146
CTIME*PRESS 2 2.19500000 1.09750000 3.00 0.0750
CONCENT*CTIME*PRESS 4 1.97333333 0.49333333 1.35 0.2903
Source DF Type III SS Mean Square F Value Pr > F
CONCENT 2 7.76388889 3.88194444 10.62 0.0009
CTIME 1 20.25000000 20.25000000 55.40 <.0001
CONCENT*CTIME 2 2.08166667 1.04083333 2.85 0.0843
PRESS 2 19.37388889 9.68694444 26.50 <.0001
CONCENT*PRESS 4 6.09111111 1.52277778 4.17 0.0146
CTIME*PRESS 2 2.19500000 1.09750000 3.00 0.0750
CONCENT*CTIME*PRESS 4 1.97333333 0.49333333 1.35 0.2903
Three-way Factorial Design (all fixed) 6
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
Plot of RESID*YHAT. Legend: A = 1 obs, B = 2 obs, etc.
RESID |
|
1.0 +
|
|
| A
0.8 +
|
|
| A A
0.6 +
|
|
| A A
0.4 + A B A
| A A
| A A A A
|
0.2 + A
| A
| A
|
0.0 +
|
| A
| A
-0.2 + A
|
| A A A A
| A A
-0.4 + A B A
| A A
|
|
-0.6 +
| A A
|
|
-0.8 +
| A
|
|
-1.0 +
|
-+-----------+-----------+-----------+-----------+-----------+-----------+
195 196 197 198 199 200 201
YHAT
Three-way Factorial Design (all fixed) 7
Factor A (CONCENT) : 3 Levels of Concentration % of Hardwood
Factor B (CTIME) : 2 LEVELS OF Cooking time (3 hrs, 4 hrs)
Factor C (PRESS) : 3 LEVELS OF Pressure (400, 500, 650)
Plot of NSCORE*RESID. Legend: A = 1 obs, B = 2 obs, etc.
|
|
2.5 +
|
|
| A
2.0 +
|
|
| B
R 1.5 +
a |
n | A
k | A
1.0 +
f | D
o |
r | A
0.5 + A
V | B
a | B
r | AA
i 0.0 + A A
a | AA
b | B
l | B
e -0.5 + A
| A
R |
E | D
S -1.0 +
I | A
D | A
|
-1.5 +
| B
|
|
-2.0 +
| A
|
|
-2.5 +
|
---+-------+-------+-------+-------+-------+-------+-------+-------+--
-1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00
RESID