Statistical Design of Experiments
Statistical Design of Experiments
Two-Level, Three Factor Design
Two-Level, Three Factor Design
“-” For Level One
“-” For Level One
“+” For Level Two
“+” For Level Two
Factors (Main Effects)
Factors (Main Effects)
B
BB
C
C
A
AA
A = Temperature
A = Temperature
B = Pressure
B = Pressure
C = Concentration
C = Concentration
55
77
47
73
56
80
51
73
%
%
Yield
Yield
For Level 2 (the “+”s)
For Level 2 (the “+”s)
52.25
4
51
56
47
55
Effect of Factor A
Effect of Factor A
(Temperature)
(Temperature)
Find the Level
Find the Level
Averages:
Averages:
For Level 1 (the “-”s)
For Level 1 (the “-”s)
75.75
4
73
80
73
77
75.75 -
75.75 -
52.25 = 23.5
52.25 = 23.5
23.5
23.5
For Level 2 (the “+”s)For Level 2 (the “+”s)
For Level 2 (the “+”s)For Level 2 (the “+”s)
For Level 1 (the “-”s)”s)
For Level 1 (the “-”s)”s)
67
4
80
56
77
55
BB
C
C
AA
55
77
47
73
56
80
51
73
YieldYield
YieldYield
Effect of Factor B
Effect of Factor B
(Pressure)
(Pressure)
Find the Level
Averages:
61
4
73
51
73
47
61 -
67 = -
6
-
-
6
6
For Level 1 (the “-”s)
For Level 1 (the “-”s)
56
65
4
73
51
80
B
C
C
A
55
77
47
73
56
80
51
73
Effect of Factor C
Effect of Factor C
(Pressure)
(Pressure)
Find the Level
Averages:
63
4
73
47
77
55
65 -
63 = 2
2
2
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
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