Unit of study_

# STAT4022: Linear and Mixed Models

### 2025 unit information

Classical linear models are widely used in science, business, economics and technology. This unit will introduce the fundamental concepts of analysis of data from both observational studies and experimental designs using 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 includes material in STAT3022 Applied Linear Models, but has an additional component on the mathematical techniques underlying applied linear models together with proofs of distribution theory based on vector space methods.

## Unit details and rules

#### Science

 Prerequisites: ? An average mark of 65 or above in 12cp from (STAT2X11 or DATA2X02 or STAT3X23 or STAT3X21 or STAT3925 or STAT3888 or DATA3888) None STAT3012 or STAT3912 or STAT3022 or STAT3922 or STAT3004 or STAT3904 Material in DATA2X02 or equivalent and MATH1002 or MATH1X61 or equivalent; that is, a knowledge of applied statistics and an introductory knowledge to linear algebra, including eigenvalues and eigenvectors

At the completion of this unit, you should be able to:

• LO1. Formulate, interpret and compare multiple types of linear regression and making inferences on all parameters of the model.
• LO2. Construct, interpret, and apply multi-strata ANOVA tables
• LO3. Explain the theoretical aspects of linear models and linear mixed models.
• LO4. Design and explain appropriate schemes and analysis for treatment allocation and data collection in common experimental designs.
• LO5. Identify and explain important features of experimental designs.
• LO6. Apply, formulate and interpret linear mixed models.
• LO7. Devise an experimental design or modelling approach to solve a problem and communicate the outcomes using the statistical programming language R.
• LO8. Derive and re-create proofs of theoretical aspects of regression methods.

## Unit availability

This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.

The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.

Session MoA   Location Outline
Semester 1 2024
Normal day Camperdown/Darlington, Sydney
Session MoA   Location Outline
Semester 1 2025
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Session MoA   Location Outline
Semester 1 2020
Normal day Camperdown/Darlington, Sydney
Outline unavailable
Semester 1 2021
Normal day Camperdown/Darlington, Sydney
Semester 1 2021
Normal day Remote
Semester 1 2022
Normal day Camperdown/Darlington, Sydney
Semester 1 2022
Normal day Remote
Semester 1 2023
Normal day Camperdown/Darlington, Sydney

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### Modes of attendance (MoA)

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