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

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'''Normal Distribution General Example Suspension Data'''
#REDIRECT[[Normal_Distribution_Examples#Right_Censored_(Suspension)_Data]]
 
Nineteen units are being reliability tested and the following is a table of their times-to-failure and suspensions.
 
{|border="1" align="center" style="border-collapse: collapse;" cellpadding="5" cellspacing="5"
|-
|colspan="3" style="text-align:center"| Non-Grouped Data Times-to-Failure with Suspensions (Right Censored)
|-
!Data point index
!Last Inspected
!State End Time
|-
|1 ||F||2
|-
|2 ||S||3
|-
|3 ||F||5
|-
|4 ||S||7
|-
|5 ||F||11
|-
|6 ||S||13
|-
|7||S||17
|-
|8||S||19
|-
|9 ||F||23
|-
|10 ||F||29
|-
|11 ||S||31
|-
|12 ||F||37
|-
|13 ||S||41
|-
|14 ||F||43
|-
|15||S||47
|-
|16||S||53
|-
|17||F||59
|-
|18||S||61
|-
|19||S||67
|}
 
'''Solution'''
 
This augments the previous example by adding eleven suspensions to the data set. This data set can be entered into Weibull++ by selecting the data sheet for Times to Failure and with Right Censored Data (Suspensions).
The parameters using maximum likelihood are:
 
::<math>\begin{align}
  & \widehat{\mu }= & 48.07 \\
& {{{\hat{\sigma }}}_{T}}= & 28.41. 
\end{align}</math>
 
For rank regression on x:
 
::<math>\begin{align}
  & \widehat{\mu }= & 46.40 \\
& {{{\hat{\sigma }}}_{T}}= & 28.64. 
\end{align}</math>
 
For rank regression on y:
 
::<math>\begin{align}
  & \widehat{\mu }= & 47.34 \\
& {{{\hat{\sigma }}}_{T}}= & 29.96. 
\end{align}</math>

Latest revision as of 05:37, 14 August 2012

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