Test-Fix-Test Data (Failure Terminated) Reference Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
No edit summary
 
(18 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Reference Example|Image=RGA_Reference_Examples_Banner.png|Link=RGA_Reference_Examples}}
{{Reference Example|{{Banner RGA Reference_Examples}}}}
This example compares the results for test-fix-test (failure terminated) data.
This example validates the results for test-fix-test data (failure terminated) in RGA.
   
   


{{Reference_Example_Heading1}}
{{Reference_Example_Heading1}}


International Standard IEC 61164 (Reliability Growth in Product Design and Test – Statistical Test and Estimation Methods), Example 1 – Case 2, pg. 30.
International Standard IEC 61164 (Reliability Growth in Product Design and Test – Statistical Test and Estimation Methods), Example 2 – Case 1, pg. 30.




{{Reference_Example_Heading2}}
{{Reference_Example_Heading2}}


{| {{table}}
The following table shows the data.
!Termination Time = 975 hours
 
{| {{table|12%}}
|-
|-
| 2
| 2
Line 117: Line 118:
| 975
| 975
|-  
|-  
|+'''Termination Time = 975 hours'''
|}
|}


Line 122: Line 124:
{{Reference_Example_Heading3}}
{{Reference_Example_Heading3}}


Beta (UnB) = 0.5594, Lambda = 1.1067
The book has the following results:
 
*Beta(UnB) = 0.5594, Lambda = 1.1067
 
*CL = 0.9 (two-sided confidence bounds on DMTBF)
 
*DMTBF<sub>Upper</sub> = 46.7 hours
 
*DMTBF = 33.5 hours
 
*DMTBF<sub>Lower</sub> = 24.3 hours
 
*CVM = 0.041, critical value = 0.173. Since CVM < critical value can fail to reject hypothesis that the model fits the data.
 
 
{{Reference_Example_Heading4|RGA}}
 
In RGA, the Crow-AMSAA (NHPP) model with the maximum likelihood estimation (MLE) method was used to calculate the results.


CL = 0.9 (two-sided confidence bounds on DMTBF
*The model parameters are:


DMTBFUpper = 46.7 hours
[[image:IEC 61164 Example 1 - Case 2_Results.png|center]]


DMTBF = 33.5 hours


DMTBFLower = 24.3 hours
*The Cramér-von Mises goodness-of-fit test result:


CVM = 0.041, critical value = 0.173. Since CVM < critical value can fail to reject hypothesis that the model fits the data.
[[image:IEC 61164 Example 1 - Case 2_Stat Tests.png|center]]




*The instantaneous MTBF and its two-sided 90% confidence intervals are shown next. The confidence bounds in the QCP are calculated using Crow Bounds methodology.


{{Reference_Example_Heading4|Software=RGA}}
[[image:IEC 61164 Example 1 - Case 2_QPC.png|center]]
Sample content

Latest revision as of 18:27, 28 September 2015

RGA 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 RGA examples and RGA reference examples.




Test-Fix-Test Data (Failure Terminated) Reference Example

This example validates the results for test-fix-test data (failure terminated) in RGA.


Reference Case

International Standard IEC 61164 (Reliability Growth in Product Design and Test – Statistical Test and Estimation Methods), Example 2 – Case 1, pg. 30.


Data

The following table shows the data.

2
4
10
15
18
19
20
25
39
41
43
45
47
66
88
97
104
105
120
196
217
219
257
260
281
283
289
307
329
357
372
374
393
403
466
521
556
571
621
628
642
684
732
735
754
792
803
805
832
836
873
975
Termination Time = 975 hours


Result

The book has the following results:

  • Beta(UnB) = 0.5594, Lambda = 1.1067
  • CL = 0.9 (two-sided confidence bounds on DMTBF)
  • DMTBFUpper = 46.7 hours
  • DMTBF = 33.5 hours
  • DMTBFLower = 24.3 hours
  • CVM = 0.041, critical value = 0.173. Since CVM < critical value can fail to reject hypothesis that the model fits the data.


Results in RGA

In RGA, the Crow-AMSAA (NHPP) model with the maximum likelihood estimation (MLE) method was used to calculate the results.

  • The model parameters are:
IEC 61164 Example 1 - Case 2 Results.png


  • The Cramér-von Mises goodness-of-fit test result:
IEC 61164 Example 1 - Case 2 Stat Tests.png


  • The instantaneous MTBF and its two-sided 90% confidence intervals are shown next. The confidence bounds in the QCP are calculated using Crow Bounds methodology.
IEC 61164 Example 1 - Case 2 QPC.png