R-DOE Design: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(14 intermediate revisions by one other user not shown)
Line 1: Line 1:
{{Reference Example|{{Banner DOE Reference Examples}}}}
{{Reference Example|{{Banner DOE Reference Examples}}}}
This example validates the calculation of the reliability DOE design.
This example validates the calculation of the reliability DOE design in Weibull++.


{{Reference_Example_Heading1}}
{{Reference_Example_Heading1}}
Data is from an example on page 530in the book ''Experiments, planning, analysis, and parameter design optimization'' by C.F. Jeff Wu, Michael Hamad, John Wiley & Sons, Inc. 2000.
The data are 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.


{{Reference_Example_Heading2}}
{{Reference_Example_Heading2}}
{{Reference_Example_Heading2}}
 
{| {{Table}}
{| {{Table}}
!rowspan="2" | Run
!rowspan="2" | Run
Line 18: Line 18:
!style="background:#f0f0f0;"|E
!style="background:#f0f0f0;"|E
|-
|-
| 1||-||-||-||-||-||(14, 16)||(20, \inf)
| 1||-||-||-||-||-||(14, 16)||(20, <math>\infty\,\!</math>)
|-
|-
| 2||-||-||+||+||+||(18,20)||(20, \inf)
| 2||-||-||+||+||+||(18,20)||(20, <math>\infty\,\!</math>)
|-
|-
| 3||-||+||-||-||+||(8, 10)||(10, 12)
| 3||-||+||-||-||+||(8, 10)||(10, 12)
|-
|-
| 4||-||+||+||+||-||(18, 20)||(20, \inf)
| 4||-||+||+||+||-||(18, 20)||(20, <math>\infty\,\!</math>)
|-
|-
| 5||+||-||+||-||+||(20, \inf)||(20, \inf)
| 5||+||-||-||+||-||(20, <math>\infty\,\!</math>)||(20, <math>\infty\,\!</math>)
|-
|-
| 6||+||-||+||-||+||(12, 14)||(20, \inf)
| 6||+||-||+||-||+||(12, 14)||(20, <math>\infty\,\!</math>)
|-
|-
| 7||+||+||-||+||+||((16, 18)||(20, \inf)
| 7||+||+||-||+||+||(16, 18)||(20, <math>\infty\,\!</math>)
|-
|-
| 8||+||+||+||-||-||(12, 14)||(14, 16)
| 8||+||+||+||-||-||(12, 14)||(14, 16)
Line 38: Line 38:


{{Reference_Example_Heading3}}
{{Reference_Example_Heading3}}
Your text here.
 
From the book, the MLE and P values for the lognormal regression model are:
 
{| {{Table}}
 
!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
|-
|}
 


{{Reference_Example_Heading4|DOE++}}
{{Reference_Example_Heading4|DOE++}}
Your text here.
The software results match the book results. The MLE information table is:
 
[[Image:reliability_doe_mle_info.png|center]]

Latest revision as of 21:09, 18 September 2023

DOE Reference Examples Banner.png


New format available! This reference is now available in a new format that offers faster page load, improved display for calculations and images and more targeted search.

As of January 2024, this Reliawiki page will not continue to be updated. Please update all links and bookmarks to the latest references at DOE examples and DOE reference examples.



R-DOE Design

This example validates the calculation of the reliability DOE design in Weibull++.

Reference Case

The data are 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 are:

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
Retrieved from "https://www.reliawiki.com/index.php?title=R-DOE_Design&oldid=66106"