Template:Example: Normal General Example Complete Data: Difference between revisions

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'''Normal Distribution General Example Complete Data'''
#REDIRECT[[Normal_Distribution_Examples#Times-to-_Failure_Data_Without_Suspensions]]
 
Eight units are being reliability tested and the following is a table of their times-to-failure:
 
 
{|align="center" border=1 cellspacing=1
|-
|colspan="3" style="text-align:center"| Table 8.4 - Non-Grouped Data ,for Example 12
|-
!Data point index
!State F or S
!State End Time
|-
|1 ||F||2
|-
|2 ||F||5
|-
|3 ||F||11
|-
|4 ||F||23
|-
|5 ||F||29
|-
|6 ||F||37
|-
|7||F||43
|-
|8||F||59
|}
 
'''Solution'''
 
This data set can be entered into Weibull++ by creating a Data Sheet appropriate for the entry of non-grouped times-to-failure data.
The computed parameters for maximum likelihood are:
 
::<math>\begin{align}
  & \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 18.57 
\end{align}</math>
 
 
For rank regression on x:
 
::<math>\begin{align}
  & \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 21.64 
\end{align}</math>
 
 
For rank regression on y:
 
::<math>\begin{align}
  & \widehat{\mu }= & 26.13 \\
& {{{\hat{\sigma }}}_{T}}= & 22.28. 
\end{align}</math>

Latest revision as of 06:06, 14 August 2012

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