Chi Square tests for independance

A series of tests has been ran in order to see if any dependencies between the four variables of our study can be noticed prior to the use of our algorithm.
Simple Chi Square tests show that DRE result and pathological stage, PSA and pathological stage, and Gleason Score and pathological stage are dependent (with p-value=0).

However, when adding an extra level to each test to confirm under circumstances the dependencies previously noticed, it appears that non of the variables are totally dependent anymore. This can be explained by the existence of relations between PSA, DRE result and Gleason Score, for instance, it is more likely that a patient with a low PSA will be at an early clinical stage and have a low Gleason Score.

It is then not possible to conclude dependencies between one of the three input variables and the pathological stage. But the tests strongly confirm that the pathological stage can be predicted from the three input variables when used together.