General Log-Linear (GLL)-Weibull Model
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This example validates the calculation of GLL relationship for Weibull distribution.
Reference Case
The data set is from Example 7.14 on page 297 in book Life Cycle Reliability Engineering by Dr. Guangbin Yang, John Wiley & Sons, 2007.
Data
The data is given below.
State F/S | Time to State (Hr) | Temperature (°C) | Group ID |
---|---|---|---|
F | 1138 | 100 | 1 |
F | 1944 | 100 | 1 |
F | 2764 | 100 | 1 |
F | 2846 | 100 | 1 |
F | 3246 | 100 | 1 |
F | 3803 | 100 | 1 |
F | 5046 | 100 | 1 |
F | 5139 | 100 | 1 |
S | 5500 | 100 | 1 |
S | 5500 | 100 | 1 |
S | 5500 | 100 | 1 |
S | 5500 | 100 | 1 |
F | 1121 | 120 | 2 |
F | 1572 | 120 | 2 |
F | 2329 | 120 | 2 |
F | 2573 | 120 | 2 |
F | 2702 | 120 | 2 |
F | 3702 | 120 | 2 |
F | 4277 | 120 | 2 |
S | 4500 | 120 | 2 |
F | 420 | 150 | 3 |
F | 650 | 150 | 3 |
F | 703 | 150 | 3 |
F | 838 | 150 | 3 |
F | 1086 | 150 | 3 |
F | 1125 | 150 | 3 |
F | 1387 | 150 | 3 |
F | 1673 | 150 | 3 |
F | 1896 | 150 | 3 |
F | 2037 | 150 | 3 |
Result
The model used in the book is:
- [math]\displaystyle{ \,\!ln\left ( \eta \right )=\alpha _{0}+\alpha _{1}\frac{1}{T} }[/math]
Results in ALTA