T-H Example: Difference between revisions
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<noinclude>{{Banner_ALTA_Examples}} | <noinclude>{{Banner_ALTA_Examples}} | ||
</noinclude>The following data were collected after testing twelve electronic devices at different temperature and humidity conditions: | </noinclude>The following data were collected after testing twelve electronic devices at different temperature and humidity conditions: | ||
[[Image:ex1chp9.png|center|400px|]] | [[Image:ex1chp9.png|center|400px|]] | ||
Using ALTA, the following results were obtained: | Using ALTA, the following results were obtained: | ||
::<math>\begin{align} | ::<math>\begin{align} | ||
\widehat{\beta }=\ & 5.874395 \\ | \widehat{\beta }=\ & 5.874395 \\ | ||
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\widehat{\phi}=\ & 5630.329851 | \widehat{\phi}=\ & 5630.329851 | ||
\end{align}</math> | \end{align}</math> | ||
A probability plot for the entered data is shown next. | A probability plot for the entered data is shown next. | ||
[[Image:ALTA9probabilityplot.gif|center|600px|Probability plots at the tested combinations.]] | [[Image:ALTA9probabilityplot.gif|center|600px|Probability plots at the tested combinations.]] | ||
Note that three lines are plotted because there are three combinations of stresses, namely, (398K, 0.4), (378K, 0.8) and (378K, 0.4). | Note that three lines are plotted because there are three combinations of stresses, namely, (398K, 0.4), (378K, 0.8) and (378K, 0.4). | ||
Given the use stress levels, time estimates can be obtained for a specified probability. A Life vs. Stress plot can be obtained if one of the stresses is kept constant. For example, the following picture shows a Life vs. Temperature plot at a constant humidity of 0.4. | Given the use stress levels, time estimates can be obtained for a specified probability. A Life vs. Stress plot can be obtained if one of the stresses is kept constant. For example, the following picture shows a Life vs. Temperature plot at a constant humidity of 0.4. | ||
[[Image:ALTA9stressplot.gif|center|600px|Life vs. Temperature plot with humidity fixed at 0.4.]] | [[Image:ALTA9stressplot.gif|center|600px|Life vs. Temperature plot with humidity fixed at 0.4.]] | ||
Revision as of 07:42, 7 August 2012
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The following data were collected after testing twelve electronic devices at different temperature and humidity conditions:
Using ALTA, the following results were obtained:
- [math]\displaystyle{ \begin{align} \widehat{\beta }=\ & 5.874395 \\ & & \\ \widehat{A}=\ & 0.000060 \\ & & \\ \widehat{b}=\ & 0.280599 \\ & & \\ \widehat{\phi}=\ & 5630.329851 \end{align} }[/math]
A probability plot for the entered data is shown next.
Note that three lines are plotted because there are three combinations of stresses, namely, (398K, 0.4), (378K, 0.8) and (378K, 0.4).
Given the use stress levels, time estimates can be obtained for a specified probability. A Life vs. Stress plot can be obtained if one of the stresses is kept constant. For example, the following picture shows a Life vs. Temperature plot at a constant humidity of 0.4.
