Test

## [1] "TITELogisticLogNormalSub"

A logistic log normal model with subtractive dose normalisation will describe the relationship between dose and toxicity:

\[ p(Tox | d) = f(X = 1 | \theta, d) = \frac{e^{\alpha + \beta \cdot (d \, - \, d^*)}}{1 + e^{\alpha + \beta \cdot (d \, - \, d^*)}} \]where d* denotes a reference dose.

The prior for θ is given by\[ \boldsymbol\theta = \begin{bmatrix}\alpha \\ log(\beta)\end{bmatrix}\sim N \left(\begin{bmatrix}-0.85 \\ 1.00\end{bmatrix} , \begin{bmatrix} 1.00 & -0.50 \\ -0.50 & 1.00\end{bmatrix} \right) \]

The reference dose will be 50.00.