MATH3701 Statistical Modelling
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Weekly schedule
NoteProvisional Weekly Lecture Schedule1
| Week 1 | L1 | Chapter 1 | Introduction to Statistical Modelling |
| L2 | Chapter 2 | Normal Linear Models: Structure and Matrix Form | |
| L3 | Chapter 2 | Normal Linear Models: Fitting in R and Diagnostics | |
| L4 | Exercises | Exercises: Chapters 1–2 | |
| Week 2 | L5 | Chapter 3 | GLM Theory: Exponential Family, Moments and Variance Functions |
| L6 | Chapter 3 | GLM Theory: Link Functions | |
| L7 | Exercises | Exercises: Chapter 3 | |
| L8 | Chapter 4 | GLM Estimation: Maximum Likelihood and IRLS | |
| Week 3 | L9 | Chapter 4 | GLM Estimation: Deviance, Residuals and R |
| L10 | Chapter 5 | Modelling Proportions: Logistic Regression, Overdispersion and Odds Ratios | |
| L11 | Chapter 5 | Modelling Proportions: Dose-Response | |
| L12 | Exercises | Exercises: Chapters 4–5 | |
| Week 4 | L13 | Chapter 6 | Loglinear Models |
| L14 | Chapter 7 | Extensions to Loglinear Models | |
| L15 | Chapter 8 | GLM Consolidation | |
| L16 | Exercises | Exercises: Chapters 6–7 | |
| Week 5 | L17 | Chapter 9 | Beyond Linear Predictors: Non-parametric Motivation |
| L18 | Chapter 10 | Introducing Splines | |
| L19 | Chapter 11 | Interpolating Splines: Natural Splines and Optimality | |
| L20 | Chapter 11 | Interpolating Splines: Matrix Derivation | |
| Week 6 | L21 | Exercises | Exercises: Chapters 9–11 |
| L22 | Chapter 12 | Smoothing Splines: Theory | |
| L23 | Chapter 13 | Choosing the Smoothing Parameter: CV, GCV and Effective Degrees of Freedom | |
| L24 | Chapter 14 | Generalised Additive Models | |
| Week 7 | L25 | Exercises | Exercises: Chapters 12–14 |
| L26 | Chapter 15 | Introduction to Survival Analysis | |
| L27 | Chapter 16 | Survival, Hazard and Cumulative Hazard Functions | |
| L28 | Chapter 17 | Kaplan–Meier Estimator | |
| Week 8 | L29 | Chapter 18 | Parametric Families: Exponential Distribution |
| L30 | Chapter 18 | Parametric Families: Weibull and Graphical Assessment | |
| L31 | Chapter 19 | MLE with Censored Data | |
| L32 | Chapter 20 | Parametric Two-Sample Comparison | |
| Week 9 | L33 | Exercises | Exercises: Chapters 15–20 |
| L34 | Chapter 21 | Proportional Hazards Property | |
| L35 | Chapter 22 | PH Regression: Simple Case and Multiple Explanatory Variables | |
| L36 | Chapter 23 | The Cox Model: Motivation and Partial Likelihood | |
| Week 10 | L37 | Chapter 23 | The Cox Model: Estimation, Inference and R |
| L38 | Exercises | Exercises: Chapters 21–23 | |
| L39 | Chapter 24 | Cox Model Diagnostics | |
| L40 | Chapter 25 | Model Selection | |
| Week 11 | L41 | Chapter 26 | Extended Case Study |
| L42 | Exercises | Exercises: Chapters 24–26 | |
| L43 | Course Review and Synthesis |
Some sections will be left as directed reading, but please note that all material is examinable.↩︎