Bayes Theory h= Hypothesis, D=Data P(H D=PO HP(p(D) With new data p(H D1, D2)=p(2 H) [p(D1 H)p(Hp(DI)/p(D2) With 2 hypotheses p(HI D1, D2)=p(D2 H1 p(D1 HD) p(H1) p(H2D1,D2)p(D2|H2)p(D1|H2)p(H2) Posterier odds ratio prior odds ratioSystem Supervisory Control Computer Interface Display Control Sensors Direct Observation Bayes Theory H = Hypothesis, D = Data p(H | D) = p(D | H) p(H)/p(D) With new data p(H | D1,D2) = p(D2 | H) [p(D1 | H) p(H)/p(D1) /p(D2) With 2 hypotheses p(H1 | D1,D2) = p(D2 | H1) p(D1 | H1) p(H1) p(H2 | D1,D2) p(D2 | H2) p(D1 | H2) p(H2) Posterier odds ratio prior odds ratio