Figure 6
From: Decision theory for precision therapy of breast cancer
Estimating an upper bound for belief in receptor positivity. True positives (TP) and false positives (FP) can be used to derive a first equation in \(\alpha_{{{\text{Expr}}}}\) and \(\theta_{{{\text{Expr}}}}\) (Eq. 3). A second equation may be deduced by including TN and FN, Eq. (2). Both can be solved to estimate \(\alpha_{{{\text{Expr}}}}\) and \(\theta_{{{\text{Expr}}}}\). From these follow upper bounds for the belief in positivity (\(\hat{\alpha }_{{{\text{Expr}}}}\)) and negativity (\(\hat{\beta }_{{{\text{Expr}}}}\)), Eqs. (4 and 5), respectively.
