General Log-Linear (GLL)-Weibull Model - Revision history

Kate Racaza at 18:21, 28 September 2015

2015-09-28T18:21:15Z

← Older revision		Revision as of 18:21, 28 September 2015
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	{{Reference Example\|{{Banner ALTA Reference Examples}}}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}

	This example ~~compares~~ the results for the GLL life-stress relationship with a Weibull distribution.		This example validates the results for the GLL life-stress relationship with a Weibull distribution in ALTA standard folios.

Kate Racaza at 16:38, 13 June 2014

2014-06-13T16:38:42Z

← Older revision		Revision as of 16:38, 13 June 2014
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	{{Reference Example\|~~ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples~~}}		{{Reference Example\|{{Banner ALTA Reference Examples}}}}

	This example compares the results for the GLL life-stress relationship with a Weibull distribution.		This example compares the results for the GLL life-stress relationship with a Weibull distribution.

Beth Ann Paape at 15:24, 13 June 2014

2014-06-13T15:24:37Z

← Older revision		Revision as of 15:24, 13 June 2014
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	{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}		{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}
	This example compares the results for the GLL relationship ~~for~~ Weibull distribution.		This example compares the results for the GLL life-stress relationship with a Weibull distribution.


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	{{Reference_Example_Heading2}}		{{Reference_Example_Heading2}}

	The data ~~is given below~~.		The following table shows the data.
	{\| {{table}}		{\| {{table}}
	!State F/S		!State F/S

Beth Ann Paape at 18:22, 11 June 2014

2014-06-11T18:22:53Z

← Older revision		Revision as of 18:22, 11 June 2014
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	{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}		{{Reference Example\|ALTA_Reference_Examples_Banner.png\|ALTA_Reference_Examples}}
	This example ~~validates~~ the ~~calculation of~~ GLL relationship for Weibull distribution.		This example compares the results for the GLL relationship for Weibull distribution.

Beth Ann Paape at 18:17, 11 June 2014

2014-06-11T18:17:13Z

← Older revision		Revision as of 18:17, 11 June 2014
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	*The estimated reliability at 35°C and 10,000 hours is <math>\,\!R\left ( 10000 \right )=0.9860</math> . The two-sided 90% confidence interval is [0.892,0.998].		*The estimated reliability at 35°C and 10,000 hours is <math>\,\!R\left ( 10000 \right )=0.9860</math> . The two-sided 90% confidence interval is [0.892, 0.998].

Beth Ann Paape at 18:15, 11 June 2014

2014-06-11T18:15:33Z

← Older revision		Revision as of 18:15, 11 June 2014
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	*The two-sided 90% confidence intervals for the model parameters are: <math>\,\!\left [ \alpha _{0,L},\alpha _{0,U} \right ]=\left [ -6.044,-0.269 \right ]</math> , <math>\,\!\left [ \alpha _{1,L},\alpha _{1,U} \right ]=\left [ 3244.8,5535.3 \right ]</math> and <math>\,\!\left [ \beta _{1,L},\beta _{1,U} \right ]=\left [ 1.73,2.97 \right ]</math> .		*The two-sided 90% confidence intervals for the model parameters are: <math>\,\!\left [ \alpha _{0,L},\alpha _{0,U} \right ]=\left [ -6.044, -0.269 \right ]</math> , <math>\,\!\left [ \alpha _{1,L},\alpha _{1,U} \right ]=\left [ 3244.8, 5535.3 \right ]</math> and <math>\,\!\left [ \beta _{1,L},\beta _{1,U} \right ]=\left [ 1.73, 2.97 \right ]</math> .


	*The estimated B10 life at temperature of 35°C is 24,286 hours. The two-sided 90% confidence interval is [10371,56867].		*The estimated B10 life at temperature of 35°C is 24,286 hours. The two-sided 90% confidence interval is [10371, 56867].

Beth Ann Paape at 18:08, 11 June 2014

2014-06-11T18:08:35Z

← Older revision		Revision as of 18:08, 11 June 2014
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	*The variance of each parameter is: <math>\,\!Var\left ( \alpha _{0} \right )=3.08</math> , <math>\,\!Var\left ( \alpha _{1} \right )=~~484,819~~.5</math> and <math>\,\!Var\left ( \beta\right )=0.1396</math> .		*The variance of each parameter is: <math>\,\!Var\left ( \alpha _{0} \right )=3.08</math> , <math>\,\!Var\left ( \alpha _{1} \right )=484819.5</math> and <math>\,\!Var\left ( \beta\right )=0.1396</math> .


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	*The estimated B10 life at temperature of 35°C is 24,286 hours. The two-sided 90% confidence interval is [10,~~371, 56,867~~].		*The estimated B10 life at temperature of 35°C is 24,286 hours. The two-sided 90% confidence interval is [10371,56867].


	*The estimated reliability at 35°C and 10,000 hours is <math>\,\!R\left ( 10000 \right )=0.9860</math> . The two-sided 90% confidence interval is [0.892, 0.998].		*The estimated reliability at 35°C and 10,000 hours is <math>\,\!R\left ( 10000 \right )=0.9860</math> . The two-sided 90% confidence interval is [0.892,0.998].

Beth Ann Paape at 22:45, 10 June 2014

2014-06-10T22:45:43Z

← Older revision		Revision as of 22:45, 10 June 2014
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	In ALTA, the GLL model with Weibull distribution is used. Since temperature is the stress, the reciprocal transform is used. The results are:		In ALTA, the GLL model with Weibull distribution is used. Since temperature is the stress, the reciprocal transform is used. The results are:
	*The model parameters are:		*The model parameters are:


	[[image:Temperature GLL Weibull_Analysis Summary.png\|center]]		[[image:Temperature GLL Weibull_Analysis Summary.png\|center]]
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	*The variances of the parameters are:		*The variances of the parameters are:


	[[image:Temperature GLL Weibull_Var_Cov Results.png\|center]]		[[image:Temperature GLL Weibull_Var_Cov Results.png\|center]]
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	*The two-sided 90% confidence intervals for the model parameters are:		*The two-sided 90% confidence intervals for the model parameters are:


	[[image:Temperature GLL Weibull_Parameter Bounds.png\|center]]		[[image:Temperature GLL Weibull_Parameter Bounds.png\|center]]
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	*The estimated B10 life and its two-sided 90% confidence intervals are:		*The estimated B10 life and its two-sided 90% confidence intervals are:


	[[image:Temperature GLL Weibull_QPC B10 Life.png\|center]]		[[image:Temperature GLL Weibull_QPC B10 Life.png\|center]]
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	*The estimated reliability with its two-sided 90% confidence interval at 35°C and 10,000 hours are:		*The estimated reliability with its two-sided 90% confidence interval at 35°C and 10,000 hours are:


	[[image:Temperature GLL Weibull_QPC Reliability.png\|center]]		[[image:Temperature GLL Weibull_QPC Reliability.png\|center]]

Beth Ann Paape at 21:44, 10 June 2014

2014-06-10T21:44:11Z

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	\| F\|\|2037\|\|150\|\|3		\| F\|\|2037\|\|150\|\|3
	\|}		\|}

Beth Ann Paape at 21:34, 10 June 2014

2014-06-10T21:34:00Z

← Older revision		Revision as of 21:34, 10 June 2014
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	\| F\|\|2037\|\|150\|\|3		\| F\|\|2037\|\|150\|\|3
	\|}		\|}



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	In ALTA, the GLL model with Weibull distribution is used. Since temperature is the stress, the reciprocal transform is used. The results are:		In ALTA, the GLL model with Weibull distribution is used. Since temperature is the stress, the reciprocal transform is used. The results are:
	*The model parameters are:		*The model parameters are:


	[[image:Temperature GLL Weibull_Analysis Summary.png\|center]]		[[image:Temperature GLL Weibull_Analysis Summary.png\|center]]
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	*The variances of the parameters are:		*The variances of the parameters are:


	[[image:Temperature GLL Weibull_Var_Cov Results.png\|center]]		[[image:Temperature GLL Weibull_Var_Cov Results.png\|center]]
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	*The two-sided 90% confidence intervals for the model parameters are:		*The two-sided 90% confidence intervals for the model parameters are:


	[[image:Temperature GLL Weibull_Parameter Bounds.png\|center]]		[[image:Temperature GLL Weibull_Parameter Bounds.png\|center]]
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	*The estimated B10 life and its two-sided 90% confidence intervals are:		*The estimated B10 life and its two-sided 90% confidence intervals are:


	[[image:Temperature GLL Weibull_QPC B10 Life.png\|center]]		[[image:Temperature GLL Weibull_QPC B10 Life.png\|center]]
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	*The estimated reliability with its two-sided 90% confidence interval at 35°C and 10,000 hours are:		*The estimated reliability with its two-sided 90% confidence interval at 35°C and 10,000 hours are:


	[[image:Temperature GLL Weibull_QPC Reliability.png\|center]]		[[image:Temperature GLL Weibull_QPC Reliability.png\|center]]