Statistical thinking•Bayesian vs Frequentistmethods•Idea behind Bayesian Inference •Statistical questions for forensic practice, examples•Types of Probability•Conditional Probability•Bayes Theorem•Likelihood RatiosFrequentistEstimation and Testing:•Point Estimation, variation, standard error•Confidence Intervals for mean and proportion•Hypothesis Tests for mean and proportionClassification Methods (Frequentist):•Linear regression–Continuous data•Logistic regression–Discrete data•Contingency tables –Count dataDecision Theory:•Decision theory concepts•Bayesian decision theory
Bayesian Estimation:•Binomial proportion•Poisson rate•Normal mean•Credible intervalsBayesian Hypothesis Tests:•Prior and posterior odds•One sided and two-sided tests•Sequential probability ratio tests