Statistical Design of Experiments
Statistical Design of Experiments
E1
E1
1
E
E
2
2
23-
22-
21-
20-
19-
18-
T
E3
E3
3
Prediction -
Prediction -
Using Additivity
Using Additivity
A1
A1
1
A
A
2
2
23-
22-
21-
20-
19-
18-
T
D1
D1
1
D
D
2
2
23-
22-
21-3
20-
19-
18-
T
D
D
3
3
G1
G1
1
G2
G2
2
G3
G3
3
23-
22-
21-
20-
19-
18-
T
Prediction Equation
Prediction Equation
T
G
T
E
T
D
T
A
T
opt
=
1
1
1
ˆ
= 21.0+(23.6-21.0)+(23.3-21.0)+(23.6-21.0)+(23.9-21.0)
= 21.0+(23.6-21.0)+(23.3-21.0)+(23.6-21.0)+(23.9-21.0)
= 31.4 dB
= 31.4 dB
Suppose the initial design was A
Suppose the initial design was A
2
2
B
B
2
2
C
C
2
2
D
D
2
2
E
E
2
2
F
F
2
2
G
G
2
2
H
H
2
2
T
G
T
E
T
D
T
A
T
initial
=
2
2
2
2
ˆ
= 21.0+(18.5-21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
= 21.0+(18.5-21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
+(18.5-21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
(18.5-21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
-21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
21.0)+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
+(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
(20.7-21.0)+(19.8-21.0)+(20.1-21.0)
-21.0)+(19.8-21.0)+(20.1-21.0)
21.0)+(19.8-21.0)+(20.1-21.0)
(19.8-21.0)+(20.1-21.0)
-21.0)+(20.1-21.0)
21.0)+(20.1-21.0)
+(20.1-21.0)
(20.1-21.0)
-21.0)
21.0)
= 16.1 dB
= 16.1 dB
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