Previously undescribed algebraic transforms of Bayes' theorem define famili
es of operating points in the receiver operating characteristic (ROC) space
which, at given pre-test probability, produce constant post-test probabili
ties, These isopredictive operating points form straight lines in the ROC s
pace. The lines can be used to emulate Bayesian sequential analysis in a st
rictly graphic procedure, which can be applied in clinical work and medical
education.