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R-DOE Design |
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
| 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:
