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

From ReliaWiki
Jump to navigation Jump to search
No edit summary
(Redirected page to Weibull Distribution Examples)
 
(8 intermediate revisions by 4 users not shown)
Line 1: Line 1:
'''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 by clicking its icon.
 
[[Image: QSP.png|thumb|center|400px]]
 
or by selecting '''Quick Statistical Reference''' from the '''Home''' menu.
 
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:
 
<center>::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>
</center>
 
Calculate the value of F0.50:10:12 by using the Inverse F-Distribution Values option from the '''Quick Statistical Reference''', or F0.50;10;12 = 0.9886 as shown next:
 
[[Image: F Inverse.png|center]]
 
Consequently:
 
<center>::<<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>
</center>
 
Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
[[Image: MR.png|center]]

Latest revision as of 02:22, 14 August 2012