Template:Example: Median Rank Plot Example: Difference between revisions

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'''Median Rank Plot Example'''
#REDIRECT [[Weibull Distribution Examples]]
 
In this example, we will determine the median rank value used for plotting the sixth failure from a sample size of ten. This will be used to illustrate two of the built-in functions in Weibull++'s Quick Statistical Reference.
 
'''Solution'''
 
First, open the Quick Statistical Reference and select the '''Inverse F-Distribution Values''' option.
 
In this example, N = 10, j = 6, m = 2(10 - 6 + 1) = 10, and n = 2 x 6 = 12.
 
Thus, from the F-distribution rank equation:
 
::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>
 
Use the QSR to calculate the value of F0.50;10;12 = 0.9886, as shown next:
 
[[Image: F Inverse.png|center|550px]]
 
Consequently:
 
::<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>
 
Another method is to use the '''Median Ranks''' option directly, which yields MR(%) = 54.8305%, as shown next:
[[Image: MR.png|center|550px]]

Latest revision as of 02:22, 14 August 2012