Update regression approach and tolerance bands power law authored by Jamie Engelhardt Simon's avatar Jamie Engelhardt Simon
...@@ -3,6 +3,7 @@ title: regression approach and tolerance bands - power law ...@@ -3,6 +3,7 @@ title: regression approach and tolerance bands - power law
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## Dependency ## Dependency
It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a fatigue curve). It is assumed the data can be described by a power law, expressed either as Y or X dependent (referring to the second and first axis on a fatigue curve).
...@@ -135,7 +136,7 @@ Y_{\alpha} = Y_{\Gamma}[-1] ...@@ -135,7 +136,7 @@ Y_{\alpha} = Y_{\Gamma}[-1]
``` ```
**Step 7** <br> **Step 7** <br>
Compute the adjustment coefficient associated with the quantile of interest - Compute the adjustment coefficient associated with the tolerance limit of interest -
```math ```math
\textrm{if}\;\textrm{Y-dependent}\;\Rightarrow C_{\alpha} = \frac{Y_{\alpha}}{X_{\alpha}^m} \textrm{if}\;\textrm{Y-dependent}\;\Rightarrow C_{\alpha} = \frac{Y_{\alpha}}{X_{\alpha}^m}
``` ```
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