Template:Example: Weibull Distribution Complete Data Example - Revision history

Chris Kahn: Redirected page to Weibull Distribution Examples

2012-08-14T02:15:29Z

Redirected page to Weibull Distribution Examples

← Older revision		Revision as of 02:15, 14 August 2012
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	~~'''~~Weibull Distribution ~~Complete Data Example'''~~		#REDIRECT [[Weibull Distribution Examples]]

	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.

	~~'''Solution'''~~

	~~Open a new Data Folio choosing '''Times-to-failure''' data, My data set contains suspensions (right censored data) and I want to enter data in groups.~~

	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	~~[[Image: DataforExample_11.png.png\|center\|450px]]~~

	~~Plot the data.~~

	~~[[Image: Plot for Example 11.png\|center\|450px~~]]

	~~Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.~~

Richard House at 05:27, 6 August 2012

2012-08-06T05:27:50Z

← Older revision		Revision as of 05:27, 6 August 2012
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	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	[[Image: DataforExample_11.png.png~~\|thumb~~\|center\|450px]]		[[Image: DataforExample_11.png.png\|center\|450px]]

	Plot the data.		Plot the data.

	[[Image: Plot for Example 11.png~~\|thumb~~\|center\|450px]]		[[Image: Plot for Example 11.png\|center\|450px]]

	Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.		Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.

Richard House at 05:14, 6 August 2012

2012-08-06T05:14:01Z

← Older revision		Revision as of 05:14, 6 August 2012
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	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.		Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.


	'''Solution'''		'''Solution'''

	Open a new Data Folio choosing '''Times-to-failure''' data, My data set contains suspensions (right censored data) and I want to enter data in groups.		Open a new Data Folio choosing '''Times-to-failure''' data, My data set contains suspensions (right censored data) and I want to enter data in groups.


	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	[[Image: DataforExample_11.png.png\|thumb\|center\|~~250px~~]]		[[Image: DataforExample_11.png.png\|thumb\|center\|450px]]

	Plot the data.		Plot the data.

	[[Image: Plot for Example 11.png\|thumb\|center\|~~250px~~]]		[[Image: Plot for Example 11.png\|thumb\|center\|450px]]

	Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.		Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.

Nicolette Young at 18:29, 25 April 2012

2012-04-25T18:29:14Z

← Older revision		Revision as of 18:29, 25 April 2012
Line 11:		Line 11:
	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	[[Image: DataforExample_11.png.png\|thumb\|center\|~~400px~~]]		[[Image: DataforExample_11.png.png\|thumb\|center\|250px]]

	Plot the data.		Plot the data.

	[[Image: Plot for Example 11.png\|thumb\|center\|~~400px~~]]		[[Image: Plot for Example 11.png\|thumb\|center\|250px]]

	Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.		Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.

Harry Guo at 22:40, 29 February 2012

2012-02-29T22:40:23Z

← Older revision		Revision as of 22:40, 29 February 2012
Line 11:		Line 11:
	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	[[Image: ~~Data_for_ Example_11~~.png\|thumb\|center\|400px]]		[[Image: DataforExample_11.png.png\|thumb\|center\|400px]]

	Plot the data.		Plot the data.

Harry Guo at 22:39, 29 February 2012

2012-02-29T22:39:54Z

← Older revision		Revision as of 22:39, 29 February 2012
Line 11:		Line 11:
	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

	[[Image: ~~Data for Example 11~~.png\|thumb\|center\|400px]]		[[Image: Data_for_ Example_11.png\|thumb\|center\|400px]]

	Plot the data.		Plot the data.

Harry Guo at 22:34, 29 February 2012

2012-02-29T22:34:17Z

← Older revision		Revision as of 22:34, 29 February 2012
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	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.		Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.

	~~===Solution to Weibull Distribution Example 11===~~

	Open a new Data Folio choosing Times-to-failure data, My data set contains suspensions (right censored data) and I want to enter data in groups.		'''Solution'''

			Open a new Data Folio choosing '''Times-to-failure''' data, My data set contains suspensions (right censored data) and I want to enter data in groups.


	Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.		Enter the data in the appropriate columns. Note that there are four suspensions, as only six of the ten units were tested to failure (the next figure shows the data as entered). Use the three-parameter Weibull and MLE for the calculations.

			[[Image: Data for Example 11.png\|thumb\|center\|400px]]

	Plot the data.		Plot the data.

			[[Image: Plot for Example 11.png\|thumb\|center\|400px]]

	Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.		Note that the original data points, on the curved line, were adjusted by subtracting 30.92 hours to yield a straight line as shown above.

Harry Guo at 22:30, 29 February 2012

2012-02-29T22:30:13Z

← Older revision		Revision as of 22:30, 29 February 2012
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	'''Weibull Distribution Complete Data Example'''		'''Weibull Distribution Complete Data Example'''

	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}<\math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.		Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}</math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.

	===Solution to Weibull Distribution Example 11===		===Solution to Weibull Distribution Example 11===

Harry Guo at 22:30, 29 February 2012

2012-02-29T22:30:05Z

← Older revision		Revision as of 22:30, 29 February 2012
Line 1:		Line 1:
	'''Weibull Distribution Complete Data Example'''		'''Weibull Distribution Complete Data Example'''

	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>\{T}_{j}<\math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.		Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>{T}_{j}<\math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.

	===Solution to Weibull Distribution Example 11===		===Solution to Weibull Distribution Example 11===

Harry Guo at 22:29, 29 February 2012

2012-02-29T22:29:54Z

← Older revision		Revision as of 22:29, 29 February 2012
Line 1:		Line 1:
	'''Weibull Distribution Complete Data Example'''		'''Weibull Distribution Complete Data Example'''

	Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <~~text~~>\T~~\_j~~<\~~text~~>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.		Assume that ten identical units (N = 10) are being reliability tested at the same application and operation stress levels. Six of these units fail during this test after operating the following numbers of hours, <math>\{T}_{j}<\math>: 150, 105, 83, 123, 64 and 46. The test is stopped at the sixth failure. Find the parameters of the Weibull ''pdf'' that represents these data.

	===Solution to Weibull Distribution Example 11===		===Solution to Weibull Distribution Example 11===