Frequentist approach: Sufficiency. Cramer Rao Lower bound. Minimum variance unbiased estimation. Methods of deriving confidence intervals. Hypothesis testing. Likelihood ratio tests. Optimality of tests.
Bayesian approach: Hypothesis space. Likelihood function. Bayes Theorem on inference. Normal modelling: prior and posterior distributions. Conjugate distributions. Combining information from independent sources. Linear transforms and the multivariate normal. Analysis of variance revisited; random effects models. Decisions, utility and summarisation
Frequentist approach: Sufficiency. Cramer Rao Lower bound. Minimum variance unbiased estimation. Methods of deriving confidence intervals. Hypothesis testing. Likelihood ratio tests. Optimality of tests.
Bayesian approach: Hypothesis space. Likelihood function. Bayes Theorem on inference. Normal modelling: prior and posterior distributions. Conjugate distributions. Combining information from independent sources. Linear transforms and the multivariate normal. Analysis of variance revisited; random effects models. Decisions, utility and summarisation