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R-DOE Design |
This example validates the calculation of the reliability DOE design.
Reference Case
Data is from an example on page 530 and page 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:
