Unit information: Linear Models in 2017/18

Unit name	Linear Models
Unit code	MATH35110
Credit points	10
Level of study	H/6
Teaching block(s)	Teaching Block 1A (weeks 1 - 6)
Unit director	Dr. Cho
Open unit status	Not open
Pre-requisites	MATH11300 Probability 1 and MATH 11400 Statistics 1; MATH 20800 Statistics 2 is desirable but not essential.
Co-requisites	None
School/department	School of Mathematics
Faculty	Faculty of Science

Description including Unit Aims

Please refer to the unit description and unit aims on the School of Mathematics website

http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html

Intended Learning Outcomes

Learning Objectives

By the end of the unit the student should be able to:

• Express a range of linear models in different forms: R syntax, matrix notation, etc.
• Prove fundamental results from linear model theory: calculation of least-squares estimates and their sampling properties, the Gauss Markov theorem, partitioning results for analysis of variance, etc.
• Calculate least-squares estimates in low-dimensional problems.
• Carry out simple analyses of variance.
• Fit models in R, discriminate between models and check goodness-of-model fit.
• Use analysis of variance techniques to check goodness-of-fit in the simple linear model case with replicates.
• Formulate simple factorial experimental results as an analysis of variance.
• Derive standard results for linear models from the likelihood function.

Transferable Skills

Computing skills (use of an advanced package, simple programming, interpretation of computational results in problem context). Relation of numerical results to mathematical and statistical theory. Building models for uncertain phenomena. Data analysis. Self assessment by working through examples sheets and using solutions provided.

Teaching Information

Lectures supported by problem and solution sheets.

Assessment Information

100% Examination

Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.

Reading and References

• Please refer to the unit description on the School of Mathematics website http://www.maths.bristol.ac.uk/study/undergrad/current_units/index.html