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Unit of study_
STAT3922: Applied Linear Models (Advanced)
2025 unit information
This unit will introduce the fundamental concepts of analysis of data from both observational studies and experimental designs using classical linear methods, together with concepts of collection of data and design of experiments. You will first consider linear models and regression methods with diagnostics for checking appropriateness of models, looking briefly at robust regression methods. Then you will consider the design and analysis of experiments considering notions of replication, randomisation and ideas of factorial designs. Throughout the course you will use the R statistical package to give analyses and graphical displays. This unit is essentially an Advanced version of STAT3012, with additional emphasis on the mathematical techniques underlying applied linear models together with proofs of distribution theory based on vector space methods.
Unit details and rules
Managing faculty or University school:
Science
| Study level | Undergraduate |
|---|---|
| Academic unit | Mathematics and Statistics Academic Operations |
| Credit points | 6 |
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Prerequisites:
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STAT2X11 and [a mark of 65 or greater in (STAT2X12 or DATA2X02)] |
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Corequisites:
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None |
| Prohibitions:
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STAT3912 or STAT3012 or STAT3022 or STAT4022 |
| Assumed knowledge:
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None |
At the completion of this unit, you should be able to:
- LO1. Apply and formulate appropriate linear models to analyse data from diverse settings, including cross-sectional studies, experiments, panel studies
- LO2. Apply, analyse, and implement least square estimators for parameters in linear models
- LO3. Calculate and interpret interval estimators, including confidence intervals and prediction intervals, for appropriate quantities in linear models
- LO4. Conduct appropriate hypothesis testings for parameters in linear models
- LO5. Conduct appropriate diagnostics to check model assumptions and detect unusual observations
- LO6. Apply, implement, and interpret the results from likelihood-based methods to fit linear mixed effects models
- LO7. Derive and re-create proofs of theoretical aspects of linear models.
Unit availability
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