Template:Using contour plots - Revision history

Richard House: Redirected page to Comparing Life Data Sets

2012-08-13T06:32:30Z

Redirected page to Comparing Life Data Sets

← Older revision		Revision as of 06:32, 13 August 2012
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	~~===Using Contour Plots===~~		#REDIRECT [[Comparing_Life_Data_Sets]]
	To determine whether two data sets are significantly different and at what confidence level, one can utilize the contour plots provided in Weibull++. By overlaying two contour plots from two different data sets at the same confidence level, one can visually assess whether the data sets are significantly different at that confidence level if there is no overlap on the contours. The disadvantage of this method is that the same distribution must be fitted to both data sets.

	~~'''Example 1:'''~~
	~~{{Example: Life Comparison-Compare Two Designs Using Contour Plot}}~~


	~~'''Critical Confidence Level'''~~

	The Critical Confidence Level feature is an option in the Contours Setup window for overlay plots in Weibull++. To activate the utility, select the '''Plot Critical Level''' check box, as shown in the figure below.

	[[~~Image:Conleveldetector.jpg\|thumb\|center\|250px\|~~ ]]

	This feature determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the example above, the critical confidence level 94.243%. This can be seen in the figure below.

	~~[[Image:Life Comparison Critical CL.png\|thumb\|center\|250px\| ]]~~

	The picture shows the contour plot at a confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may still look like they have a little bit of overlap or separation.

Nicolette Young: /* Using Contour Plots */

2012-04-25T23:47:12Z

Using Contour Plots

← Older revision		Revision as of 23:47, 25 April 2012
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	The Critical Confidence Level feature is an option in the Contours Setup window for overlay plots in Weibull++. To activate the utility, select the '''Plot Critical Level''' check box, as shown in the figure below.		The Critical Confidence Level feature is an option in the Contours Setup window for overlay plots in Weibull++. To activate the utility, select the '''Plot Critical Level''' check box, as shown in the figure below.

	[[Image:Conleveldetector.jpg\|thumb\|center\|~~300px~~\| ]]		[[Image:Conleveldetector.jpg\|thumb\|center\|250px\| ]]

	This feature determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the example above, the critical confidence level 94.243%. This can be seen in the figure below.		This feature determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the example above, the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:Life Comparison Critical CL.png\|thumb\|center\|~~300px~~\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|250px\| ]]

	The picture shows the contour plot at a confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may still look like they have a little bit of overlap or separation.		The picture shows the contour plot at a confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may still look like they have a little bit of overlap or separation.

Lisa Hacker: /* Using Contour Plots */

2012-03-30T18:11:07Z

Using Contour Plots

← Older revision		Revision as of 18:11, 30 March 2012
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	'''Critical Confidence Level'''		'''Critical Confidence Level'''

	The Critical Confidence Level ~~utility~~ is ~~located as~~ an option in the ~~Overlay Contour Plot~~ Setup window. To activate the utility, ~~check~~ the ~~“Plot~~ Critical ~~Level”~~ box as shown in the figure below.		The Critical Confidence Level feature is an option in the Contours Setup window for overlay plots in Weibull++. To activate the utility, select the '''Plot Critical Level''' check box, as shown in the figure below.

	[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]		[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]

	~~The critical confidence level utility~~ determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the above ~~[[ Life Comparison Example 2\|Example 2]]~~, the critical confidence level 94.243%. This can be seen in the figure below.		This feature determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the example above, the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]

	The ~~above plot~~ shows the contour plot at confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may look ~~still having~~ a little bit of overlap or separation.		The picture shows the contour plot at a confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may still look like they have a little bit of overlap or separation.

Lisa Hacker: /* Using Contour Plots */

2012-03-30T17:55:15Z

Using Contour Plots

← Older revision		Revision as of 17:55, 30 March 2012
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	===Using Contour Plots===		===Using Contour Plots===
	To determine whether two data sets are significantly different and at what confidence level, one can utilize the contour plots provided in Weibull++. By overlaying two contour plots from two different data sets ~~(analyzed using the same distribution)~~ at the same confidence level, one can visually assess whether the data sets are significantly different at that confidence level if there is no overlap on the contours. The disadvantage of this method is that the same distribution must be fitted to both data sets.		To determine whether two data sets are significantly different and at what confidence level, one can utilize the contour plots provided in Weibull++. By overlaying two contour plots from two different data sets at the same confidence level, one can visually assess whether the data sets are significantly different at that confidence level if there is no overlap on the contours. The disadvantage of this method is that the same distribution must be fitted to both data sets.

	'''Example 1:'''		'''Example 1:'''

Harry Guo at 22:49, 27 February 2012

2012-02-27T22:49:39Z

← Older revision		Revision as of 22:49, 27 February 2012
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	[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]

	~~<br>~~		The above plot shows the contour plot at confidence level of 90% and at the critical level of 94.243%. Please notice that due to the calculation resolution and plot precision, sometimes at the calculated critical level, the two curves may look still having a little bit of overlap or separation.
	The confidence level ~~is decreased until~~ the ~~contour plots meet~~ at a ~~single point~~.

Harry Guo at 22:46, 27 February 2012

2012-02-27T22:46:23Z

← Older revision		Revision as of 22:46, 27 February 2012
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	[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]		[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]

	The critical confidence level utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level.		The critical confidence level utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]

Harry Guo at 22:42, 27 February 2012

2012-02-27T22:42:46Z

← Older revision		Revision as of 22:42, 27 February 2012
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	For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.		For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:Life Comparison Critical CL.~~wmf~~\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]

	<br>		<br>
	The confidence level is decreased until the contour plots meet at a single point.		The confidence level is decreased until the contour plots meet at a single point.

Harry Guo: /* Using Contour Plots */

2012-02-27T22:40:31Z

Using Contour Plots

← Older revision		Revision as of 22:40, 27 February 2012
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	'''Critical Confidence Level ~~Detector~~'''		'''Critical Confidence Level'''

	The Confidence Level ~~Detector (CLD)~~ utility is located as an option in the Contour Plot Setup window. To activate the utility, check the “Plot Critical Level” box as shown in the figure below.		The Critical Confidence Level utility is located as an option in the Overlay Contour Plot Setup window. To activate the utility, check the “Plot Critical Level” box as shown in the figure below.

	[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]		[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]

	The ~~CLD~~ utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level.		The critical confidence level utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level.

	~~Let and be~~ the ~~99%~~ two~~-sided lower bounds on for populations 1 and~~ 2~~, respectively, and let and be the 99% two-sided upper bounds on for populations 1 and~~ 2, ~~respectively. 99% is used as~~ the ~~starting~~ confidence level ~~to make sure that the contour plots are large enough to overlap~~. The confidence levels are decreased, which in turn decreases the size of the contour plots of the two populations, causing the intersection points of the two contour plots move towards each other, as illustrated in the figure below.		For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:~~CldFigure~~.~~jpg~~\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.wmf\|thumb\|center\|300px\| ]]

	<br>		<br>
	The confidence level is decreased until the contour plots meet at a single point.		The confidence level is decreased until the contour plots meet at a single point.

Harry Guo: /* Using Contour Plots */

2012-02-27T22:28:25Z

Using Contour Plots

← Older revision		Revision as of 22:28, 27 February 2012
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	<br>		<br>
	The confidence level is decreased until the contour plots meet at a single point.		The confidence level is decreased until the contour plots meet at a single point.

	~~{{estimating equation using the cw}}~~

Harry Guo: /* Using Contour Plots */

2012-02-27T22:27:45Z

Using Contour Plots

@@ Line 1: / Line 1: @@
 ===Using Contour Plots===
 To determine whether two data sets are significantly different and at what confidence level, one can utilize the contour plots provided in Weibull++. By overlaying two contour plots from two different data sets (analyzed using the same distribution) at the same confidence level, one can visually assess whether the data sets are significantly different at that confidence level if there is no overlap on the contours.  The disadvantage of this method is that the same distribution must be fitted to both data sets.
 '''Critical Confidence Level Detector'''

← Older revision		Revision as of 22:46, 27 February 2012
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	[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]		[[Image:Conleveldetector.jpg\|thumb\|center\|300px\| ]]

	The critical confidence level utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level.		The critical confidence level utility determines the confidence level at which the contour plots of two data sets meet at a single point. This is the minimum confidence level at which the contour plots of the two different data sets overlap. At any confidence level below this minimum confidence level, the contour plots of the two data sets will not overlap and there will be a statistically significant difference between the two populations at that level. For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	For the two data sets in the above [[ Life Comparison Example 2\|Example 2]], the critical confidence level 94.243%. This can be seen in the figure below.

	[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]		[[Image:Life Comparison Critical CL.png\|thumb\|center\|300px\| ]]