Template:The Exponential Distribution - Revision history

Lisa Hacker: Redirected page to The Exponential Distribution

2012-08-09T10:10:12Z

Redirected page to The Exponential Distribution

← Older revision		Revision as of 10:10, 9 August 2012
Line 1:		Line 1:
	[[~~Category: For Deletion~~]]		#REDIRECT [[The Exponential Distribution]]

Lisa Hacker: Replaced content with 'Category: For Deletion'

2012-07-20T12:41:34Z

Replaced content with 'Category: For Deletion'

← Older revision		Revision as of 12:41, 20 July 2012
Line 1:		Line 1:
	The exponential distribution is a commonly used distribution in reliability engineering. Mathematically, it is a fairly simple distribution, which many times leads to its use in inappropriate situations. It is, in fact, a special case of the Weibull distribution where <math>\beta =1</math>. The exponential distribution is used to model the behavior of units that have a constant failure rate (or units that do not degrade with time or wear out).		[[Category: For Deletion]]
	~~{{Exponential Probability Density Function}}~~

	~~{{Exponential Statistical Properties}}~~

	~~{{Characteristics of the Exponential Distribution}}~~

	~~==Estimation of the Exponential Parameters==~~
	~~{{Probability Plotting Exponential Distribution }}~~

	~~{{Rank Regression on Y for Exponential Distribution}}~~

	~~{{Rank Regression on X for Exponential Distribution}}~~

	~~{{Maximum Likelihood Estimation for Exponential Distribution}}~~

	~~{{Confidence Bounds}}~~

	~~{{Bayesian Confidence Bounds ED}}~~

	~~==General Examples==~~
	~~'''Example 8~~:~~'''~~
	~~{{Example 8: Exponential Dstribution for Grouped Data}}~~


	~~'''Example 9:'''~~
	~~{{Example 9: Exponential Distribution Auto Batch Run}}~~

Harry Guo: /* General Examples */

2012-02-09T18:33:37Z

General Examples

← Older revision		Revision as of 18:33, 9 February 2012
Line 20:		Line 20:

	==General Examples==		==General Examples==
	'''Example 8'''		'''Example 8:'''
	{{Example 8: Exponential Dstribution for Grouped Data}}		{{Example 8: Exponential Dstribution for Grouped Data}}

	'''Example 9'''
			'''Example 9:'''
	{{Example 9: Exponential Distribution Auto Batch Run}}		{{Example 9: Exponential Distribution Auto Batch Run}}

Harry Guo: /* General Examples */

2012-02-09T18:31:58Z

General Examples

← Older revision		Revision as of 18:31, 9 February 2012
Line 20:		Line 20:

	==General Examples==		==General Examples==
			'''Example 8'''
	{{Example 8: Exponential Dstribution for Grouped Data}}		{{Example 8: Exponential Dstribution for Grouped Data}}

			'''Example 9'''
	{{Example 9: Exponential Distribution Auto Batch Run}}		{{Example 9: Exponential Distribution Auto Batch Run}}

Harry Guo: /* General Examples */

2012-02-09T17:03:44Z

General Examples

← Older revision		Revision as of 17:03, 9 February 2012
Line 23:		Line 23:
	{{Example 8: Exponential Dstribution for Grouped Data}}		{{Example 8: Exponential Dstribution for Grouped Data}}

	{{Example 9: Exponential Distribution ~~for leukemia patients~~}}		{{Example 9: Exponential Distribution Auto Batch Run}}

Harry Guo: moved Template:The Exponential Dstribution to Template:The Exponential Distribution

2012-02-08T23:07:08Z

moved Template:The Exponential Dstribution to Template:The Exponential Distribution

← Older revision	Revision as of 23:07, 8 February 2012
(No difference)

Harry Guo: moved Template:Exponential Dstribution to Template:The Exponential Dstribution

2012-02-08T23:05:42Z

moved Template:Exponential Dstribution to Template:The Exponential Dstribution

← Older revision	Revision as of 23:05, 8 February 2012
(No difference)

Harry Guo at 23:01, 8 February 2012

2012-02-08T23:01:38Z

← Older revision		Revision as of 23:01, 8 February 2012
Line 23:		Line 23:
	{{Example 8: Exponential Dstribution for Grouped Data}}		{{Example 8: Exponential Dstribution for Grouped Data}}

	~~===~~Example 9~~===~~		{{Example 9: Exponential Distribution for leukemia patients}}
	~~A number of~~ leukemia patients ~~were treated with either drug 6 MP or a placebo, and the times in weeks until cancer symptoms returned were recorded. Analyze each treatment separately. [21, p.175]~~


	~~{\|align="center" border=1 cellspacing=0~~
	\|-
	~~\|colspan="4" style="text-align:center"\|Table 7.3 - Leukemia Treatment Results~~
	\|-
	~~!Time (weeks)~~
	~~!Number of Patients~~
	~~!Treament~~
	~~!Comments~~
	\|-
	~~\|1 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|2 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|3 \|\|1 \|\|placebo \|\|~~
	\|-
	~~\|4 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|5 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|6 \|\|4 \|\|6MP \|\|3 patients completed~~
	\|-
	~~\|7 \|\|1 \|\|6MP \|\|~~
	\|-
	~~\|8 \|\|4 \|\|placebo \|\|~~
	\|-
	~~\|9 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|10 \|\|2 \|\|6MP \|\|1 patient completed~~
	\|-
	~~\|11 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|11 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|12 \|\|2 \|\|placebo \|\|~~
	\|-
	~~\|13 \|\|1 \|\|6MP \|\|~~
	\|-
	~~\|15 \|\|1 \|\|placebo \|\|~~
	\|-
	~~\|16 \|\|1 \|\|6MP \|\|~~
	\|-
	~~\|17 \|\|1 \|\|placebo \|\|~~
	\|-
	~~\|17 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|19 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|20 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|22 \|\|1 \|\|placebo \|\|~~
	\|-
	~~\|22 \|\|1 \|\|6MP \|\|~~
	\|-
	~~\|23 \|\|1 \|\|placebo \|\|~~
	\|-
	~~\|23 \|\|1 \|\|6MP \|\|~~
	\|-
	~~\|25 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|32 \|\|2 \|\|6MP \|\|Not completed~~
	\|-
	~~\|34 \|\|1 \|\|6MP \|\|Not completed~~
	\|-
	~~\|35 \|\|1 \|\|6MP \|\|Not completed~~
	\|}


	~~'''Solution to Example 9'''~~

	Enter the data into Weibull++, by selecting '''Times to Failure, with Right Censored Data (Suspensions)''' and '''with Grouped Observations''. In the first column enter the number of patients. Whenever there are uncompleted tests, enter the number of patients who completed the test separately from the number of patients who did not. In the second column enter F for completed tests and S for uncompleted. In the third column enter the time. In the fourth column (Subset ID) enter the name of the treatment. The title of each column can be changed by double-clicking it and typing the desired name.


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


	~~Now click the '''Batch Auto Run''' icon~~


	~~[[Image:batchautorun.png\|thumb\|center\|300px\|]]~~

	~~::or:~~

	~~[[Image:batchautorunicon.png\|thumb\|center\|300px\|]]~~


	~~and click Select All Available> > to separate the 6 MP drug from the placebo as shown next.~~


	~~[[Image:BARsheet.png\|thumb\|center\|350px\|]]~~


	~~Click OK and you will get a new Data Sheet for each treatment with the corresponding results, as shown next.~~


	~~{\|style= align="center" border="1"~~
	\|-
	~~\|[[Image:BAR6mp.png\|thumb\|center\|400px\|]]\|\|[[Image:BARplacebo.png\|thumb\|center\|400px\|]]~~
	\|}


	~~Make sure both data sheets are calculated, then from the Life Data tab, click on Insert Additional Plot. Click on the Select Data Sheets button.~~

	~~[[Image:insertadditionalplot.png\|thumb\|center\|300px\|]]~~



	~~[[Image:selectdatasheets.png\|thumb\|center\|300px\|]]~~


	~~and check the two data sheets under the Folio1 project.~~


	~~The plot is shown next,~~


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

Harry Guo: /* General Examples */

2012-02-08T22:59:25Z

General Examples

Show changes

Harry Guo: moved Template:Example: Exponential Dstribution for Grouped Data to Template:Exponential Dstribution

2012-02-08T22:57:27Z

moved Template:Example: Exponential Dstribution for Grouped Data to Template:Exponential Dstribution

← Older revision	Revision as of 22:57, 8 February 2012
(No difference)