Factorial design of chemical process yield 1
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
Obs PRESS TEMP YIELD
1 200 LOW 90.4
2 200 LOW 90.2
3 200 MEDIUM 90.1
4 200 MEDIUM 90.3
5 200 HIGH 90.5
6 200 HIGH 90.7
7 215 LOW 90.7
8 215 LOW 90.6
9 215 MEDIUM 90.5
10 215 MEDIUM 90.6
11 215 HIGH 90.8
12 215 HIGH 90.9
13 230 LOW 90.2
14 230 LOW 90.4
15 230 MEDIUM 89.9
16 230 MEDIUM 90.1
17 230 HIGH 90.4
18 230 HIGH 90.1
Factorial design of chemical process yield 2
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
-----------------------------------------------------------
| | PRESS |
| |--------------------------------------|
| | 200 | 215 | 230 |
| |------------+------------+------------|
| | YIELD | YIELD | YIELD |
| |------------+------------+------------|
| | Y(IJ) | Y(IJ) | Y(IJ) |
|------------------+------------+------------+------------|
|TEMP | | | |
|------------------| | | |
|HIGH | 181.20| 181.70| 180.50|
|------------------+------------+------------+------------|
|LOW | 180.60| 181.30| 180.60|
|------------------+------------+------------+------------|
|MEDIUM | 180.40| 181.10| 180.00|
-----------------------------------------------------------
Factorial design of chemical process yield 3
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
The GLM Procedure
Class Level Information
Class Levels Values
PRESS 3 200 215 230
TEMP 3 HIGH LOW MEDIUM
Number of observations 18
Factorial design of chemical process yield 4
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
The GLM Procedure
Dependent Variable: YIELD
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 8 1.13777778 0.14222222 8.00 0.0026
Error 9 0.16000000 0.01777778
Corrected Total 17 1.29777778
R-Square Coeff Var Root MSE YIELD Mean
0.876712 0.147474 0.133333 90.41111
Source DF Type I SS Mean Square F Value Pr > F
PRESS 2 0.76777778 0.38388889 21.59 0.0004
TEMP 2 0.30111111 0.15055556 8.47 0.0085
PRESS*TEMP 4 0.06888889 0.01722222 0.97 0.4700
Source DF Type III SS Mean Square F Value Pr > F
PRESS 2 0.76777778 0.38388889 21.59 0.0004
TEMP 2 0.30111111 0.15055556 8.47 0.0085
PRESS*TEMP 4 0.06888889 0.01722222 0.97 0.4700
Factorial design of chemical process yield 5
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
Plot of YHAT*PRESS. Symbol is value of TEMP.
YHAT |
|
90.85 + H
|
90.80 +
|
90.75 +
|
90.70 +
|
90.65 + L
|
90.60 + H
|
90.55 + M
|
90.50 +
|
90.45 +
|
90.40 +
|
90.35 +
|
90.30 + L L
|
90.25 + H
|
90.20 + M
|
90.15 +
|
90.10 +
|
90.05 +
|
90.00 + M
|
--+---------+---------+---------+---------+---------+---------+---------+-
180 190 200 210 220 230 240 250
PRESS
NOTE: 9 obs hidden.
Factorial design of chemical process yield 6
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
Plot of RESID*YHAT. Legend: A = 1 obs, B = 2 obs, etc.
RESID |
|
0.15 + A
|
|
|
|
|
|
0.10 +A A B A
|
|
|
|
|
|
0.05 + A A A
|
|
|
|
|
|
0.00 +
|
|
|
|
|
|
-0.05 + A A A
|
|
|
|
|
|
-0.10 +A A B A
|
|
|
|
|
|
-0.15 + A
|
-+-------+-------+-------+-------+-------+-------+-------+-------+-------+
90.0 90.1 90.2 90.3 90.4 90.5 90.6 90.7 90.8 90.9
YHAT
Factorial design of chemical process yield 7
Factor A (PRESS) : 3 Levels of Pressure (200, 215, 230)
Factor B (TEMP) : 3 Levels of Temperature (Low, Medium, High)
Plot of NSCORE*RESID. Legend: A = 1 obs, B = 2 obs, etc.
|
|
2.0 +
|
| A
|
|
1.5 +
|
|
R |
a |
n 1.0 +
k | E
|
f |
o |
r 0.5 +
| A
V |
a |
r | B
i 0.0 +
a | B
b |
l |
e | A
-0.5 + A
R |
E |
S |
I |
D -1.0 + D
|
|
|
|
-1.5 +
|
|
| A
|
-2.0 +
|
---+----------+----------+----------+----------+----------+----------+--
-0.15 -0.10 -0.05 0.00 0.05 0.10 0.15
RESID