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'''Life Comparison - Compare Two Designs Using the Life Comparison Tool'''
<noinclude>{{Banner Weibull Examples}}
''This example appears in the [https://help.reliasoft.com/reference/life_data_analysis Life data analysis reference].''


Using the same data set from the contour plots example, use Weibull++'s Life Comparison tool to estimate the probability that units from the new design will outlast units from the old design.
</noinclude>
'''Using the Life Comparison Tool to Compare Two Designs'''


'''Solution'''
<includeonly>Using the same data set from the contour plot example, use Weibull++'s Life Comparison tool to estimate the probability that the units from the new design will outlast the units from the old design.


After entering the data sets into two different folios (or two data sheets within the same folio) and analyzing them (in this case, the two data sets were analyzed using the two-parameter Weibull distribution and MLE), open the Life Comparison tool and select to compare the two data sets.  
</includeonly><noinclude>Using the following data sets, use Weibull++'s Life Comparison tool to estimate the probability that the units from the new design will outlast the units from the old design.


The next figure shows the ''pdf'' curves and the result of the comparison.
<!-- EVERYTHING ON THIS PAGE, EXCEPT FOR THE DATA SET, IS TRANSCLUDED IN PAGE: Life Comparison Examples. IF YOU EDIT THE DATA SET ON THIS PAGE, YOU MUST ALSO EDIT THE DATA SET IN THE PAGE: Contour Plot Example.
 
-->
<center><math>\overset{\text{Old Design}}{\mathop{\begin{array}{*{35}{l}}
  \text{2} & \text{2} & \text{3} & \text{4} & \text{6} & \text{9}  \\
  \text{9} & \text{11} & \text{17} & \text{17} & \text{19} & \text{21}  \\
  \text{23} & \text{28} & \text{33} & \text{34} & \text{34} & \text{37}  \\
  \text{38} & \text{40} & \text{45} & \text{55} & \text{56} & \text{57}  \\
  \text{67} & \text{76} & \text{90} & \text{115} & \text{126} & \text{197}  \\
\end{array}}}\,\,\!</math> </center>
 
 
<center><math>\overset{\text{New Design}}{\mathop{\begin{array}{*{35}{l}}
  \text{15} & \text{32} & \text{61} & \text{67} & \text{75}  \\
  \text{116} & \text{148} & \text{178} & \text{181} & \text{183}  \\
\end{array}}}\,\,\!</math> </center>
 
</noinclude>
First, enter the data sets into two separate Weibull++ standard folios (or two separate data sheets within the same folio) and analyze the data sets using the two-parameter Weibull distribution and maximum likelihood estimation (MLE) method. Next, open the Life Comparison tool and select to compare the two data sets. The next figure shows the ''pdf'' curves and the result of the comparison.
 
 
[[Image:Life Comparison Example 2 pdf Plot and Result.png|center|600px| ]]


[[Image:Life Comparison Example 2 pdf Plot and Result.png|thumb|center|550px| ]]


The comparison summary is given in the Results Panel window.
The comparison summary is given in the Results Panel window.


[[Image:Life Comparison Example 2 pdf Result Summary.png|thumb|center|550px| ]]
 
[[Image:Life Comparison Example 2 pdf Result Summary.png|center|550px| ]]

Latest revision as of 21:38, 18 September 2023

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This example appears in the Life data analysis reference.


Using the Life Comparison Tool to Compare Two Designs

Using the following data sets, use Weibull++'s Life Comparison tool to estimate the probability that the units from the new design will outlast the units from the old design.

[math]\displaystyle{ \overset{\text{Old Design}}{\mathop{\begin{array}{*{35}{l}} \text{2} & \text{2} & \text{3} & \text{4} & \text{6} & \text{9} \\ \text{9} & \text{11} & \text{17} & \text{17} & \text{19} & \text{21} \\ \text{23} & \text{28} & \text{33} & \text{34} & \text{34} & \text{37} \\ \text{38} & \text{40} & \text{45} & \text{55} & \text{56} & \text{57} \\ \text{67} & \text{76} & \text{90} & \text{115} & \text{126} & \text{197} \\ \end{array}}}\,\,\! }[/math]


[math]\displaystyle{ \overset{\text{New Design}}{\mathop{\begin{array}{*{35}{l}} \text{15} & \text{32} & \text{61} & \text{67} & \text{75} \\ \text{116} & \text{148} & \text{178} & \text{181} & \text{183} \\ \end{array}}}\,\,\! }[/math]


First, enter the data sets into two separate Weibull++ standard folios (or two separate data sheets within the same folio) and analyze the data sets using the two-parameter Weibull distribution and maximum likelihood estimation (MLE) method. Next, open the Life Comparison tool and select to compare the two data sets. The next figure shows the pdf curves and the result of the comparison.


Life Comparison Example 2 pdf Plot and Result.png


The comparison summary is given in the Results Panel window.


Life Comparison Example 2 pdf Result Summary.png