话题1. 线性回归. 1.1. 线性回归. Introduction; simple and multiple regression; motivation; graphical data analysis; model formulation; dummy variables; parameter interpretation; examples; applications. 1.2. Fitting the model to the data; the least squares criterion; using the fitted model. 1.3. Model assumptions; inference on model parameters I: confidence intervals; inference on the response. 1.4. Inference on model parameters II: hypothesis testing; statistical significance of estimated parameters. 1.5. Assessing model fit; ANOVA. 1.6. Selection of predictor variables; multicollinearity; model diagnostics; model validation.
话题2. 二项逻辑回归. 2.1. Motivation; model assumptions and formulation; parameter interpretation; examples; applications. 2.2. Fitting the model to the data; using the fitted model; inference on model parameters; statistical significance of estimated parameters. 2.3. Assessing model fit; selection of predictor variables; multicollinearity.
话题3. 主成分分析. 3.1. Motivation; formulation; variance explained; examples; applications. 3.2. Deciding how many components to keep; component scores; interpretation of components; graphical representations.