# STU34502 – Applied Linear Statistical Methods II

**Source**: https://teaching.scss.tcd.ie/module/stu34502-applied-linear-statistical-methods-ii/
**Parent**: https://www.maths.tcd.ie/undergraduate/modules/minor-stats.php

**Not running 2022/23.**

|  |  |
| --- | --- |
| **Module Code** | STU34502 |
| **Module Name** | Applied Linear Statistical Methods II |
| **ECTS Weighting [**[1]**](#_ftn1)** | 5 ECTS |
| **Semester taught** | Semester 2 |
| **Module Coordinator/s** | Alessio Benavoli |

## Module Learning Outcomes

On successful completion of this module, students will be able to:

1. Demonstrate ways in which the multivariate linear regression model can be generalised to non-linear and non-Gaussian cases;

2. Define the generalised linear model and implement an analysis with specific examples of this model;

3. Motivate the use of deviance as a measure of model fit and its use in estimating prediction error.

## Module Content

The topics covered are:

- Recap of linear regression
- The exponential family of distributions
- The generalised linear model
- Specific examples: binomial, Poisson, logistic, Negative Binomial, Zero-Inflated
- Deviance
- Applications and examples
- R programming

## Teaching and learning Methods

Lectures

## Assessment Details

|  |  |  |  |  |  |
| --- | --- | --- | --- | --- | --- |
| **Assessment Component** | **Brief Description** | **Learning Outcomes Addressed** | **% of total** | **Week set** | **Week Due** |
| Continuous assessment |  | LO1, LO2, LO3 | 30% |  |  |
| Examination | In-person exam (2 hours) | LO1, LO2, LO3 | 70% |  |  |

## Reassessment Details

 In-person exam (2 hours, 100%)

## Contact Hours and Indicative Student Workload

|  |  |
| --- | --- |
| **Contact Hours (scheduled hours per student over full module), broken down by**: | 33 **hours** |
| Lecture | 33 |
| **Independent study (outside scheduled contact hours), broken down by:** | 83 **hours** |
| Preparation for classes and review of material (including preparation for examination, if applicable | 65 |
| completion of assessments (including examination, if applicable) | 18 |
| **Total Hours** | 0 **hours** |

## Recommended Reading List

Dobson, A. J., and A. G. Barnett. 2008. *An Introduction to Generalized Linear Models*. CRC Press, Third Edition.

Myers, R. H., D. C. Montgomery, G. G. Vining, and T. J. Robinson. 2010. *Generalized Linear Models with Applications in Engineering and the Sciences*. Wiley, 2nd edition.

Pawitan, Yudi. 2001. *In All Likelihood: Statistical Modelling and Inference Using Likelihood*. Oxford Science Publications.

Tanner, M. A. 1996. *Tools for Statistical Inference- Methods for the Exploration of Posterior Distributions and Likelihood Functions*. Springer, 3rd Edition.

## Module Pre-requisites

**Prerequisite modules:** either  (STU12501 and STU12502) or (STU23501 and STU22005)

## Module Co-requisites

None

## Module Website

[Blackboard](https://tcd.blackboard.com/webapps/login/)