Template:Example: Median Rank Plot Example - Revision history

Chris Kahn: Redirected page to Weibull Distribution Examples

2012-08-14T02:22:06Z

Redirected page to Weibull Distribution Examples

← Older revision		Revision as of 02:22, 14 August 2012
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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~~]]

Lisa Hacker at 09:28, 8 August 2012

2012-08-08T09:28:26Z

← Older revision		Revision as of 09:28, 8 August 2012
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	::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>		::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>

	~~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:		Use the QSR to calculate the value of F0.50;10;12 = 0.9886, as shown next:

	[[Image: F Inverse.png\|center\|550px]]		[[Image: F Inverse.png\|center\|550px]]
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	::<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>		::<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:		Another method is to use the '''Median Ranks''' option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center\|550px]]		[[Image: MR.png\|center\|550px]]

Lisa Hacker at 09:27, 8 August 2012

2012-08-08T09:27:25Z

← Older revision		Revision as of 09:27, 8 August 2012
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	'''Median Rank Plot Example'''		'''Median Rank Plot Example'''

	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~~'''~~.		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'''		'''Solution'''

	First, open the Quick Statistical Reference ~~by clicking its icon~~.		First, open the Quick Statistical Reference and select the '''Inverse F-Distribution Values''' option.

	~~[[Image: QSP.png\|center]]~~		In this example, N = 10, j = 6, m = 2(10 - 6 + 1) = 10, and n = 2 x 6 = 12.

	~~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:		Thus, from the F-distribution rank equation:

Richard House at 05:31, 6 August 2012

2012-08-06T05:31:52Z

← Older revision		Revision as of 05:31, 6 August 2012
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	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'''.		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'''		'''Solution'''
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	::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>		::<math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>


	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:		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:

Richard House at 05:31, 6 August 2012

2012-08-06T05:31:33Z

← Older revision		Revision as of 05:31, 6 August 2012
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	Thus, from the F-distribution rank equation:		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>		::<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:		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\|~~thumb\|450px~~]]		[[Image: F Inverse.png\|center\|550px]]

	Consequently:		Consequently:

	~~<center>~~<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>		::<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:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center\|~~thumb\|450px~~]]		[[Image: MR.png\|center\|550px]]

Richard House at 05:10, 6 August 2012

2012-08-06T05:10:55Z

← Older revision		Revision as of 05:10, 6 August 2012
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	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:		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\|thumb\|~~250px~~]]		[[Image: F Inverse.png\|center\|thumb\|450px]]

	Consequently:		Consequently:
Line 29:		Line 29:

	Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center\|thumb\|~~250px~~]]		[[Image: MR.png\|center\|thumb\|450px]]

Nicolette Young at 18:22, 25 April 2012

2012-04-25T18:22:01Z

← Older revision		Revision as of 18:22, 25 April 2012
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	First, open the Quick Statistical Reference by clicking its icon.		First, open the Quick Statistical Reference by clicking its icon.

	[[Image: QSP.png~~\|thumb~~\|center~~\|400px~~]]		[[Image: QSP.png\|center]]

	or by selecting '''Quick Statistical Reference''' from the '''Home''' menu.		or by selecting '''Quick Statistical Reference''' from the '''Home''' menu.
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	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:		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]]		[[Image: F Inverse.png\|center\|thumb\|250px]]

	Consequently:		Consequently:
Line 29:		Line 29:

	Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center]]		[[Image: MR.png\|center\|thumb\|250px]]

Harry Guo at 21:50, 29 February 2012

2012-02-29T21:50:02Z

← Older revision		Revision as of 21:50, 29 February 2012
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	Thus, from the F-distribution rank equation:		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><math>MR=\frac{1}{1+\left( \frac{10-6+1}{6} \right){{F}_{0.5;10;12}}}</math>
	</center>		</center>

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	Consequently:		Consequently:

	<center>::<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>		<center><math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>
	</center>		</center>

	Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center]]		[[Image: MR.png\|center]]

Harry Guo at 21:49, 29 February 2012

2012-02-29T21:49:13Z

← Older revision		Revision as of 21:49, 29 February 2012
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	Consequently:		Consequently:

	<center>::<<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>		<center>::<math>MR=\frac{1}{1+\left( \frac{5}{6} \right)\times 0.9886}=0.5483=54.83%</math>
	</center>		</center>

	Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
	[[Image: MR.png\|center]]		[[Image: MR.png\|center]]

Harry Guo at 21:48, 29 February 2012

2012-02-29T21:48:11Z

← Older revision		Revision as of 21:48, 29 February 2012
Line 16:		Line 16:
	Thus, from the F-distribution rank equation:		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:		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:		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:		Another method is to use the Median Ranks option directly, which yields MR(%) = 54.8305%, as shown next:
			[[Image: MR.png\|center]]