Week 8: ARIMA models
Week 8
Fit and compare AR, MA, ARMA, and ARIMA models using both manual and automatic approaches.
Quiz highlight
Week 8 quiz
Due Wednesday 29 April
Quiz links switch with your selected course, so this stays as the main weekly action.
Prepare before class
Read Sections 9.3 to 9.8 of FPP3 and be ready to compare different ARIMA specifications.
Seminar and workshop
Wednesday 29 April · Seminar 3:00pm to 3:50pm, workshop 4:00pm to 4:50pm · Building K Level 3, K321
Focus
- AR, MA, ARMA, and ARIMA structure
- Manual versus automatic order selection
- Forecast comparison across candidate models
Assessment
Week 8 quiz on Wednesday 29 April
Week 8 quiz on Wednesday 29 April
What you will learn this week
- AR, MA, ARMA and ARIMA models
- Selecting model orders manually and automatically
Pre-class activities
Read Sections 9.3-9.8 of the textbook and watch all embedded videos
Tutorial exercises
NoteTutorial Learning Objectives
- Fit and compare ARIMA forecasting models.
- Able to use ARIMA() (with transformations where needed) to select an appropriate model, generate forecasts, and compare them against alternative specified ARIMA structures.
- Evaluate model adequacy using residual diagnostics.
- Check whether ARIMA model residuals resemble white noise (including examining autocorrelation in residuals) and use this evidence to refine or justify model choice.
- Translate between model equations and ARIMA notation.
- Recognise ARIMA model equations in algebraic form and correctly express them using ARIMA (p,d,q) notation.
- Complete Exercises 7, 8, 15 (a to c), 16 (a to c) from Section 9.11 of the book.
Assignments
Weekly quiz
- Week 8 quiz: Open ETF3231 quiz Open ETF5231 quiz — Due Wednesday 29 April.