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2k Fractional 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)
Introduction
5
Introduction
6
The One-Half Fraction of the 2k
Factorial Design
7
The One-Half Fraction of the 2k
Factorial Design
8
The One-Half Fraction of the 2k
Factorial Design
9
The One-Half Fraction of the 2k
Factorial Design
10
The One-Half Fraction of the 2k
Factorial Design
11
The One-Half Fraction of the 2k
Factorial Design
12
Design Resolution
13
Design Resolution
14
Construction and Analysis of the
One-Half Fraction
15
Construction and Analysis of the
One-Half Fraction
16
Construction and Analysis of the
One-Half Fraction
17
Construction and Analysis of the
One-Half Fraction
18
Construction and Analysis of the
One-Half Fraction
19
an Example: Filtration Rate
Experiment
20
an Example: Filtration Rate
Experiment
21
an Example: Filtration Rate
Experiment
22
an Example: Filtration Rate
Experiment
23
an Example: Integrated Circuit
Experiment
24
an Example: Integrated Circuit
Experiment
25
an Example: Integrated Circuit
Experiment
26
an Example: Integrated Circuit
Experiment
27
an Example: Integrated Circuit
Experiment
28
an Example: Integrated Circuit
Experiment
29
30
That’s all
... Any Questions ???

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