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General Factorial
Design
ARIF RAHMAN
1
Experiments
Hypothesis/
Conjecture
Design of
Experiment
Conduct
Experiment
Analysis of
Data
Discussion &
Conclusion
Refine
the Model
2
Elements of Design of
Experiments
1. Conjecture or hypothesis
2. Response variable
3. Factors, levels and ranges
4. Treatments of factors
5. Blockings
6. Tools and methods for experiments and
measurements
7. Effect models (independent or interaction factors)
8. Replication, randomization and local factor
3
P Diagram
Signal
Factors
(m)
Noise
Factors
(x)
Control
Factors
(z)
Scaling
Factors
(r)
Response
Variables
(y)
F(x,m,z,r)
4
Inputs
Controllable Factors
(x)
Uncontrollable Factors
(z)
Output
(y)
F(x,z)
Basic Definition and Principles
5
Basic Definition and Principles
6
Basic Definition and Principles
7
Basic Definition and Principles
8
Basic Definition and Principles
9
Basic Definition and Principles
10
Basic Definition and Principles
11
Basic Definition and Principles
12
Basic Definition and Principles
13
Basic Definition and Principles
14
The Advantage of Factorial
15
The Advantage of Factorial
16
Two Factor Factorial Design
17
factor A factor B Replication Random
1 1 y111 55744
1 1 y112 78380
1 1 y113 20575
: : : :
i j yij1 98982
i j yij2 45009
i j yij3 75867
: : : :
a b yab(n-2) 10761
a b yab(n-1) 30938
a b yabn 92788
Two Factor Factorial Design
18
Two Factor Factorial Design
19
Two Factor Factorial Design
20
Two Factor Factorial Design
21
Two Factor Factorial Design
22
Two Factor Factorial Design
23
Two Factor Factorial Design
24
Two Factor Factorial Design
25
Two Factor Factorial Design
26
an Example: Battery Design
Experiment
27
an Example: Battery Design
Experiment
28
an Example: Battery Design
Experiment
29
an Example: Battery Design
Experiment
30
an Example: Battery Design
Experiment
31
an Example: Battery Design
Experiment
32
an Example: Battery Design
Experiment
33
an Example: Battery Design
Experiment
34
an Example: Battery Design
Experiment
35
an Example: Battery Design
Experiment
36
an Example: Battery Design
Experiment
37
an Example: Battery Design
Experiment
38
an Example: Battery Design
Experiment
39
Three Factor Factorial Design
40
Three Factor Factorial Design
41
Three Factor Factorial Design
42
Three Factor Factorial Design
43
an Example: Soft Drink Bottling
Experiment
44
an Example: Soft Drink Bottling
Experiment
45
an Example: Soft Drink Bottling
Experiment
46
an Example: Soft Drink Bottling
Experiment
47
an Example: Soft Drink Bottling
Experiment
48
General Factorial Design
49
General Factorial Design
50
One Observation per Cell
51
One Observation per Cell
52
One Observation per Cell
53
One Observation per Cell
54
an Example: Chemical Impurity
Experiment
55
an Example: Chemical Impurity
Experiment
56
an Example: Chemical Impurity
Experiment
57
Response Curve and Reponse
Surface
58
an Example: Battery Design
Experiment
59
an Example: Battery Design
Experiment
60
an Example: Battery Design
Experiment
61
an Example: Battery Design
Experiment
62
an Example: Cutting Tool Design
Experiment
63
an Example: Cutting Tool Design
Experiment
64
an Example: Cutting Tool Design
Experiment
65
an Example: Cutting Tool Design
Experiment
66
an Example: Cutting Tool Design
Experiment
67
an Example: Cutting Tool Design
Experiment
68
an Example: Cutting Tool Design
Experiment
69
an Example: Cutting Tool Design
Experiment
70
an Example: Cutting Tool Design
Experiment
71
Blocking
72
Blocking
73
Blocking
74
Blocking
75
an Example: Radar Target
Detection
76
an Example: Radar Target
Detection
77
an Example: Radar Target
Detection
78
an Example: Radar Target
Detection
79
an Example: Radar Target
Detection
80
an Example: Radar Target
Detection
81
an Example: Radar Target
Detection
82
an Example: Radar Target
Detection
83
an Example: Radar Target
Detection
84
85
That’s all
... Any Questions ???

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