Template:Determining units for available test time - Revision history

Kate Racaza: Redirected page to Reliability Test Design

2012-06-29T08:03:09Z

Redirected page to Reliability Test Design

← Older revision		Revision as of 08:03, 29 June 2012
Line 1:		Line 1:
	~~'''Determining Units for Available~~ Test ~~Time'''~~		#REDIRECT [[Reliability Test Design]]

	If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math>, the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.

	~~This should be a simple procedure since:~~

	~~<br>~~

	~~<center><math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math></center>~~

	~~<br>~~

	~~and <math>{{t}_{DEMO}}</math>, <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.~~

	~~We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:~~

	~~<br>~~

	~~<center><math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math></center>~~

	~~<br>~~

	~~where:~~

	~~<br>~~

	~~::<math>\begin{align}~~
	~~& CL= \text{the required confidence level} \\~~
	~~& f= \text{the allowable number of failures} \\~~
	~~& n= \text{the total number of units on test} \\~~
	~~& {{R}_{TEST}}= \text{the reliability on test}~~
	~~\end{align}</math>~~

	~~<br>~~

	Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math>, the number of units that need to be tested.

Lisa Hacker at 23:23, 29 March 2012

2012-03-29T23:23:36Z

← Older revision		Revision as of 23:23, 29 March 2012
Line 13:		Line 13:
	and <math>{{t}_{DEMO}}</math>, <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.		and <math>{{t}_{DEMO}}</math>, <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.

	We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:		We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:

	<br>		<br>

	::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>		<center><math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math></center>

	<br>		<br>
Line 26:		Line 26:

	::<math>\begin{align}		::<math>\begin{align}
	& CL= \text{the required confidence level} \\		& CL= \text{the required confidence level} \\
	& f= \text{the allowable number of failures} \\		& f= \text{the allowable number of failures} \\
	& n= \text{the total number of units on test} \\		& n= \text{the total number of units on test} \\

Lisa Hacker at 23:22, 29 March 2012

2012-03-29T23:22:20Z

← Older revision		Revision as of 23:22, 29 March 2012
Line 7:		Line 7:
	<br>		<br>

	::<math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math>		<center><math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math></center>

	<br>		<br>

Chris Kahn at 00:30, 9 March 2012

2012-03-09T00:30:20Z

← Older revision		Revision as of 00:30, 9 March 2012
Line 1:		Line 1:
	'''Determining Units for Available Test Time'''		'''Determining Units for Available Test Time'''

	If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math> , the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.		If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math>, the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.

	This should be a simple procedure since:		This should be a simple procedure since:

			<br>

	::<math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math>		::<math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math>

	and <math>{{t}_{DEMO}}</math> , <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.		<br>

			and <math>{{t}_{DEMO}}</math>, <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.

	We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:		We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:

			<br>

	::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>		::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>

			<br>

	where:		where:

			<br>

	::<math>\begin{align}		::<math>\begin{align}
Line 22:		Line 32:
	\end{align}</math>		\end{align}</math>

	Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math> , the number of units that need to be tested.		<br>

			Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math>, the number of units that need to be tested.

Harry Guo at 23:54, 23 February 2012

2012-02-23T23:54:18Z

← Older revision		Revision as of 23:54, 23 February 2012
Line 13:		Line 13:
	::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>		::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>

	:where:		where:

	::<math>\begin{align}		::<math>\begin{align}
	& CL= & \text{the required confidence level} \\		& CL= \text{the required confidence level} \\
	& f= & \text{the allowable number of failures} \\		& f= \text{the allowable number of failures} \\
	& n= & \text{the total number of units on test} \\		& n= \text{the total number of units on test} \\
	& {{R}_{TEST}}= & \text{the reliability on test}		& {{R}_{TEST}}= \text{the reliability on test}
	\end{align}</math>		\end{align}</math>

	Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math> , the number of units that need to be tested.		Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math> , the number of units that need to be tested.

Harry Guo: /* Determining Units for Available Test Time */

2012-02-22T22:58:20Z

Determining Units for Available Test Time

← Older revision		Revision as of 22:58, 22 February 2012
Line 1:		Line 1:
	~~====~~Determining Units for Available Test Time~~====~~		'''Determining Units for Available Test Time'''

	If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math> , the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.		If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math> , the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.

Nicolette Young: Created page with '====Determining Units for Available Test Time==== If one knows that the test is to last a certain amount of time, ${{t}_{TEST}}$ , the number of units that must be te…'

2012-01-04T23:52:57Z

Created page with '====Determining Units for Available Test Time==== If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math> , the number of units that must be te…'

New page

====Determining Units for Available Test Time====
If one knows that the test is to last a certain amount of time, <math>{{t}_{TEST}}</math> , the number of units that must be tested to demonstrate the specification must be determined. The first step in accomplishing this involves calculating the <math>{{R}_{TEST}}</math> value.

This should be a simple procedure since:

::<math>{{R}_{TEST}}=g({{t}_{TEST}};\theta ,\phi )</math>

and <math>{{t}_{DEMO}}</math> , <math>\theta </math> and <math>\phi </math> are already known, and it is just a matter of plugging these values into the appropriate reliability equation.

We now incorporate a form of the cumulative binomial distribution in order to solve for the required number of units. This form of the cumulative binomial appears as:

::<math>1-CL=\underset{i=0}{\overset{f}{\mathop \sum }}\,\frac{n!}{i!\cdot (n-i)!}\cdot {{(1-{{R}_{TEST}})}^{i}}\cdot R_{TEST}^{(n-i)}</math>

:where:

::<math>\begin{align}
& CL= & \text{the required confidence level} \\
& f= & \text{the allowable number of failures} \\
& n= & \text{the total number of units on test} \\
& {{R}_{TEST}}= & \text{the reliability on test}
\end{align}</math>

Since <math>CL</math> and <math>f</math> are required inputs to the process and <math>{{R}_{TEST}}</math> has already been calculated, it merely remains to solve the cumulative binomial equation for <math>n</math> , the number of units that need to be tested.