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


Using the data presented in [[Life Comparion Example 1|Example 1]], use Weibull++'s Comparison Wizard 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'''


<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.


'''Solution'''
</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.


After entering the [[Life Comparion Example 1|Example 1]] data sets into two different folios (or data sheets within the same folio) and analyzing them (in this case, the two data sets were analyzed using the two-parameter distribution and MLE), select Tests of Comparison from the '''Insert''' menu to accessthe Comparison Wizard. Specify the data sets that are being compared:
<!-- 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.


[[Image:Life Comparison Example 2 Select Data.png|thumb|center|400px| ]]
-->
<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>


The ''pdf'' curves and the result of the comparison is displayed in the next figure.


[[Image:Life Comparison Example 2 pdf Plot and Result.png|thumb|center|400px| ]]
<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>


The comparison summary is given in the '''Result...''' window.
</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 Result Summary.png|thumb|center|400px| ]]
 
[[Image:Life Comparison Example 2 pdf Plot and Result.png|center|600px| ]]
 
 
The comparison summary is given in the Results Panel window.
 
 
[[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