Modul kuliah desain eksperimen - Teknik Industri - pertemuan 9 -desain faktorial 2k

1. 2k Factorial Design
ARIF RAHMAN
1

2. Experiments
Hypothesis/
Conjecture
Design of
Experiment
Conduct
Experiment
Analysis of
Data
Discussion &
Conclusion
Refine
the Model
2

3. 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

4. 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)

5. Introduction
5

6. Introduction
6

7. 22 Factorial Design
7

8. 22 Factorial Design
8

9. 22 Factorial Design
9

10. 22 Factorial Design
10
 SSA=n.A2
 SSB=n.B2
 SSAB=n.AB2

11. 22 Factorial Design
11

12. 22 Factorial Design
12

13. 22 Factorial Design
13
xi {
–1 low
+1 high























high
treatment
low
high
high
low
high
low
treatment
low
high
high
low
low
low
high
high
low
treatment
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
if
1
)
2
/
)
((
)
2
/
)
((
if
1
)
2
/
)
((
)
2
/
)
((
)
2
/
)
((
)
2
/
)
((

14. an Example: Chemical Yield
Experiment
14

15. an Example: Chemical Yield
Experiment
15

16. an Example: Chemical Yield
Experiment
16

17. an Example: Chemical Yield
Experiment
17
SSA = n.A2 = 3* (8.33)2 = 208.33
SSB = n.B2 = 3* (-5.00)2 = 75.00
SSAB = n.AB2 = 3* (1.67)2 = 8.33

18. an Example: Chemical Yield
Experiment
18

19. an Example: Chemical Yield
Experiment
19

20. an Example: Chemical Yield
Experiment
20

21. an Example: Chemical Yield
Experiment
21

22. an Example: Chemical Yield
Experiment
22

23. an Example: Chemical Yield
Experiment
23

24. an Example: Chemical Yield
Experiment
24

25. an Example: Chemical Yield
Experiment
25

26. an Example: Chemical Yield
Experiment
26

27. 23 Factorial Design
27

28. 23 Factorial Design
28

29. 23 Factorial Design
29

30. 23 Factorial Design
30

31. 23 Factorial Design
31

32. 23 Factorial Design
32

33. 23 Factorial Design
33

34. 23 Factorial Design
34

35. an Example: Etching Process
Experiment
35

36. an Example: Etching Process
Experiment
36

37. an Example: Etching Process
Experiment
37

38. an Example: Etching Process
Experiment
38

39. an Example: Etching Process
Experiment
39

40. an Example: Etching Process
Experiment
40

41. an Example: Etching Process
Experiment
41

42. an Example: Etching Process
Experiment
42

43. General 2k Factorial Design
43

44. General 2k Factorial Design
44

45. General 2k Factorial Design
45

46. General 2k Factorial Design
46

47. General 2k Factorial Design
47

48. General 2k Factorial Design
48

49. General 2k Factorial Design
49

50. General 2k Factorial Design
50

51. General 2k Factorial Design
51

52. One Observation per Cell
52

53. One Observation per Cell
53

54. 54
That’s all
... Any Questions ???