Probability theory
Bayes' theorem
Posterior probabilities, diagnostic tests and odds updates.
Probability theory
Bayes for two hypotheses
P(H₁|A)=P(H₁)P(A|H₁)/P(A)→Probability theoryBayes theorem from hypothesis lists
P(Hⱼ|A)=P(Hⱼ)P(A|Hⱼ)/ΣP(Hᵢ)P(A|Hᵢ)→Probability theoryPositive predictive value
PPV=Se·Prev/[Se·Prev+(1−Sp)(1−Prev)]→Probability theoryNegative predictive value
NPV=Sp(1−Prev)/[(1−Se)Prev+Sp(1−Prev)]→Probability theoryPosterior odds
Opost = Oprior × LR→Probability theoryProbability from odds
p = O/(1+O)→