Grouped Data Reference Example: Difference between revisions

From ReliaWiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 9: Line 9:


{{Reference_Example_Heading2}}
{{Reference_Example_Heading2}}
The following table shows the data.


{| {{table}}
{| {{table}}
Line 29: Line 31:
{{Reference_Example_Heading3}}
{{Reference_Example_Heading3}}


Beta = 0.753, Lambda = 1.53
The book has the following results:
 
*Beta = 0.753, Lambda = 1.53


DMTBF = 2.6 hours
*DMTBF = 2.6 hours


<math>\,\!X^{2}</math> = 5.5, critical value = 7.8 (Assume significance level = 0.1. Since <math>\,\!X^{2}</math> < critical value can fail to reject hypothesis that the Crow-AMSAA model fits the data).
*<math>\,\!X^{2}</math> = 5.5, critical value = 7.8 (Assume significance level = 0.1. Since <math>\,\!X^{2}</math> < critical value can fail to reject hypothesis that the Crow-AMSAA model fits the data).





Revision as of 15:53, 13 June 2014

RGA_Reference_Examples_Banner.png

RGA_Reference_Examples

This example compares the results for grouped data.


Reference Case

MIL-HDBK -189A, Section 6.3.1.7.5, pg. 162, 2009.


Data

The following table shows the data.

Failures in Interval Interval End Time
13 20
16 40
5 60
8 80
7 100
Termination Time = 100 hours


Result

The book has the following results:

  • Beta = 0.753, Lambda = 1.53
  • DMTBF = 2.6 hours
  • [math]\displaystyle{ \,\!X^{2} }[/math] = 5.5, critical value = 7.8 (Assume significance level = 0.1. Since [math]\displaystyle{ \,\!X^{2} }[/math] < critical value can fail to reject hypothesis that the Crow-AMSAA model fits the data).


Results in RGA


MIL-HDBK-189A 6.3.1.7.5 Example Results.png


MIL-HDBK-189A 6.3.1.7.5 Example Stats.png


MIL-HDBK-189A 6.3.1.7.5 Example Plot.png