practica de diseño experimental

1. Practica 8
ADX Report for Untitled Experiment
Today's date: 17MAY2000
Experiment creation date: 17MAY2000
Design Details
Design Details
Design Type Two-level
Number of factors 5
Number of runs 16
Resolution 5
Factors and Responses
Factor Label Low Center High
A concetracion del catalizador (%) 5 6 7
B concetracion de NaOH 25 27.5 30
C velocidad de agitacion (rpm) 15 22.5 30
D temperatura en (ºC) 150 165 180
E pH 3.5 4.5 5.5
Response
Y1
Confounding Rules
E = A*B*C*D
Design Points
Coded Design
Run
Number
1
2
3
4
5
6
7
8
9
10
11
Coded Factor Values
A B C D E
-1 -1 -1 -1 1
1 -1 -1 -1 -1
-1 1 -1 -1 -1
1 1 -1 -1 1
-1 -1 1 -1 -1
1 -1 1 -1 1
-1 1 1 -1 1
1 1 1 -1 -1
-1 -1 -1 1 -1
1 -1 -1 1 1
-1 1 -1 1 1
Response Values
Y1
14.8
14.5
18.1
19.4
18.4
15.7
27.3
28.2
16
15.1
18.9

2. 12
13
14
15
16
1 1 -1 1 -1
-1 -1 1 1 1
1 -1 1 1 -1
-1 1 1 1 -1
1 1 1 1 1
22
19.8
18.9
29.9
27.4
Uncoded Design
Run
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
Uncoded Factor Values
A B C D E
5 25 15 150 5.5
7 25 15 150 3.5
5 30 15 150 3.5
7 30 15 150 5.5
5 25 30 150 3.5
7 25 30 150 5.5
5 30 30 150 5.5
7 30 30 150 3.5
5 25 15 180 3.5
7 25 15 180 5.5
5 30 15 180 5.5
7 30 15 180 3.5
5 25 30 180 5.5
7 25 30 180 3.5
5 30 30 180 3.5
7 30 30 180 5.5
Response Values
Y1
14.8
14.5
18.1
19.4
18.4
15.7
27.3
28.2
16
15.1
18.9
22
19.8
18.9
29.9
27.4
Fit Details
Fit for Y1
ANOVA for Y1
Master Model Predictive Model
Source DF SS MS F Pr > F DF SS MS F Pr > F
A 1 0.25 0.25 . 0.0001
B 1 210.25 210.25 . 0.0001 1 210.25 210.25 50.87009 0.0001
C 1 136.89 136.89 . 0.0001 1 136.89 136.89 33.1206 0.0001
D 1 8.41 8.41 . 0.0001
E 1 3.61 3.61 . 0.0001
A*B 1 3.61 3.61 . 0.0001
A*C 1 4.41 4.41 . 0.0001
A*D 1 0.01 0.01 . 0.0001
A*E 1 1.21 1.21 . 0.0001
B*C 1 30.25 30.25 . 0.0001
B*D 1 0.09 0.09 . 0.0001
B*E 1 0.49 0.49 . 0.0001

3. C*D 1 0.09 0.09 . 0.0001
C*E 1 0.49 0.49 . 0.0001
D*E 1 0.81 0.81 . 0.0001
Model 15 400.87 26.72467 . 0.0001 2 347.14 173.57 41.99535 0.0001
Error 0 9.77E-13 . 13 53.73 4.133077
(Lack of fit) 1 30.25 30.25 15.45997 0.001992
(Pure Error) 12 23.48 1.956667
Total 15 400.87 15 400.87
Fit Statistics for Y1
Master Model Predictive Model
RMSE . 2.032997
R-square 100.0% 86.60%
Adjusted R-square . 84.53%
Coefficient of Variation . 10.02711
Alias Structure for Y1
Master Model Predictive Model
No effects aliased. No effects aliased.
Predictive Model for Y1
Coded Levels(-1,1)
Y1 = 20.275 + 3.625*B + 2.925*C
Uncoded Levels
Y1 = -28.375 + 1.45*B + 0.39*C
Effects for Y1
Master Model Predictive Model
Term Estimate Std Err t Pr > |t| Estimate Std Err t
Pr >
|t|
A -0.25 . . 0.0001
B 7.25 . . 0.0001 7.25 1.016499 7.132327 0.0001
C 5.85 . . 0.0001 5.85 1.016499 5.75505 0.0001
D 1.45 . . 0.0001
E -0.95 . . 0.0001
A*B 0.95 . . 0.0001
A*C -1.05 . . 0.0001
A*D -0.05 . . 0.0001
A*E -0.55 . . 0.0001
B*C 2.75 . . 0.0001
B*D -0.15 . . 0.0001
B*E -0.35 . . 0.0001
C*D 0.15 . . 0.0001
C*E -0.35 . . 0.0001
D*E -0.45 . . 0.0001

4. Optimization Details
Desirability
Y1
D(Y1) = 0 when Y1 < 15
D(Y1) = 0.5 when Y1 = 21.25
D(Y1) = 1 when Y1 > 27.5
Power = 1 for lower half
Power = 1 for upper half
Prediction Profile Settings
Factor Label Optimal Setting
A concetracion del catalizador (%) 6
B concetracion de NaOH 27.5
C velocidad de agitacion (rpm) 22.5
D temperatura en (ºC) 165
E pH 4.5
Response Estimated Value
Y1 20.275
Desirability 42.20%
Numerical Optimization Results
concetracion del
catalizador (%)
concetracion de
NaOH
velocidad de
agitacion (rpm)
temperatura en
(ºC)
pH Y1
5 30 30 150 3.5 26.825
5 30 30 150 4 26.825
5 30 30 150 4.5 26.825
5 30 30 150 5 26.825
5 30 30 150 5.5 26.825
5 30 30 157.5 3.5 26.825
5 30 30 157.5 4 26.825
5 30 30 157.5 4.5 26.825
5 30 30 157.5 5 26.825
5 30 30 157.5 5.5 26.825
5 30 30 165 3.5 26.825
5 30 30 165 4 26.825
5 30 30 165 4.5 26.825
5 30 30 165 5 26.825
5 30 30 165 5.5 26.825
5 30 30 172.5 3.5 26.825
5 30 30 172.5 4 26.825
5 30 30 172.5 4.5 26.825
5 30 30 172.5 5 26.825
5 30 30 172.5 5.5 26.825
5 30 30 180 3.5 26.825
5 30 30 180 4 26.825
5 30 30 180 4.5 26.825
5 30 30 180 5 26.825
5 30