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

Latest revision as of 06:06, 14 August 2012

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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>