Module Overview

Topics in Applied Statistics

The aim of this module is to introduce the student to a number of major topics in modern statistical methods. The student will gain experience of applying these methods to real datasets and experience of reporting their findings/conclusions. Statistical software (R or equivalent) will be used.

Module Code

MATH 9904

ECTS Credits

7.5

*Curricular information is subject to change

 

 

OVERVIEW

A number of discrete topics, typically three, will be covered of which the following are indicative:

Classification

Tree based methods. Assessing classification accuracy; confusion matrix, specificity, sensitivity, OC curve & AUC. Compared to logistic regression methods.

Clustering

Multidimensional scaling; Hierarchical methods/k-means, distribution and density based clustering.

Factor analysis

Covariance and correlation matrices; principle components; factor analysis. Rotation of factor scores; How many factors to include.

Survival analysis

Censoring and incomplete data; Survivor and hazard functions; Life-table and KM methods; Log rank and Wilcoxon tests; PH models with regression structure.

Statistical network analysis

Manipulating relational data; Descriptive analysis of network graph characteristics; Exponential-family network models; Network block models.

Applied Bayesian data analysis

Prior predictive checking; Probabilistic generative models; Predictive posterior distributions; Hypothesis testing; Model selection.

A mix of live online classes and pre-recorded video lectures.

Module Content & Assessment
Assessment Breakdown %
Other Assessment(s)100