Theorems on the Geometric Definition of the Positive Likelihood Ratio \(\kappa \)

In this chapter, we explore the non-commutative nature of the screening coefficient. We review the definition of the positive likelihood ratio (LR+), \(\kappa \) , and suggest a novel geometric definition based on the screening equation on the screening probability square plane S. We use the prevalence threshold to aid in the generalized geometric definition of the LR+, providing theorems in this regard.