R-DOE Design

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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:

Reliability doe mle info.png