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| Data is from an example on pages 530 and 544 in the book ''Experiments, planning, analysis, and parameter design optimization'' by C.F. Jeff Wu, Michael Hamad, John Wiley & Sons, Inc. 2000. | | Data is from an example on pages 530 and 544 in the book ''Experiments, Planning, Analysis, and Parameter Design Optimization'' by C.F. Jeff Wu, Michael Hamad, John Wiley & Sons, Inc. 2000. |
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This example validates the calculation of the reliability DOE design in DOE++.
Reference Case
Data is from an example on pages 530 and 544 in the book Experiments, Planning, Analysis, and Parameter Design Optimization by C.F. Jeff Wu, Michael Hamad, John Wiley & Sons, Inc. 2000.
Data
Data
| Run
|
Factor
|
Failure Time
|
| A
|
B
|
C
|
D
|
E
|
| 1 |
- |
- |
- |
- |
- |
(14, 16) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 2 |
- |
- |
+ |
+ |
+ |
(18,20) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 3 |
- |
+ |
- |
- |
+ |
(8, 10) |
(10, 12)
|
| 4 |
- |
+ |
+ |
+ |
- |
(18, 20) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 5 |
+ |
- |
- |
+ |
- |
(20, [math]\displaystyle{ \infty\,\! }[/math]) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 6 |
+ |
- |
+ |
- |
+ |
(12, 14) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 7 |
+ |
+ |
- |
+ |
+ |
(16, 18) |
(20, [math]\displaystyle{ \infty\,\! }[/math])
|
| 8 |
+ |
+ |
+ |
- |
- |
(12, 14) |
(14, 16)
|
Result
From the book, the MLE and p values for the lognormal regression model:
| Effect
|
MLE
|
P value
|
| Intercept |
2.939 |
0.00
|
| A |
0.117 |
0.06
|
| B |
-0.201 |
0.00
|
| AB |
-0.049 |
0.43
|
| C |
-0.051 |
0.41
|
| D |
0.273 |
0.00
|
| E |
-0.153 |
0.02
|
Results in DOE++
The software results match the book results. The MLE information table is:
