## Module and Programme Catalogue

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## SOEE3650 Methods in Statistics

### 10 creditsClass Size: 20

Module manager: Andrew Baczkowski
Email: A.J.Baczkowski@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2014/15

### Pre-requisite qualifications

Students require a solid background in university level maths and statistics (e.g. calculus, complex numbers, series, statistical analysis of random errors, sample distributions and least-squares regression).

### Pre-requisites

 MATH1150 Mathematics for Geophysical Sciences 2 MATH1460 Mathematics for Geophysical Sciences 1 SOEE2250 Numerical Methods & Statistics

### This module is mutually exclusive with

 MATH2715 Statistical Methods

This module is not approved as a discovery module

### Objectives

This module lays the foundations for the analysis of statistical models, and covers the analysis of continuous distributions, the construction of appropriate models and the development of methods to gain information about unknown parameters with an emphasis on the use of likelihood methods.

Learning outcomes
On completion of this module, students should be able to: manipulate univariate and bivariate probability distributions; use univariate moment generating functions to derive the classic limit theorems of probabilty; understand the principles of statistical modelling; deal with robustness problems in statistical estimation; carry out Bayesian statistical modelling

### Syllabus

1. Moments and transformations for univariate probability densities.
2. Conditional and marginal distributions for bivariate distributions.
3. Moment generating functions; law of large numbers; central limit theorem.
4. Issues in statistical modelling.
5. Estimation; method of moments; maximum likelihood.
6. Hypothesis testing.
7. Robustness.
8. Bayesian modelling.

### Teaching methods

 Delivery type Number Length hours Student hours Class tests, exams and assessment 1 2.00 2.00 Lecture 22 1.00 22.00 Tutorial 10 1.00 10.00 Private study hours 66.00 Total Contact hours 34.00 Total hours (100hr per 10 credits) 100.00

### Private study

Completion of coursework (20 hours).
Background reading for lectures (22 x 1 hours).
Tutorial preparation (10 x 0.5 hours).
Exam preparation and revision (1 x 19 hours).

### Opportunities for Formative Feedback

Continuous monitoring during example classes with immediate formative assessment and feedback using marked example sheets. Coursework provides a mixture of summative (counts towards 15% of the final mark) and formative assessment.

### Methods of assessment

Coursework
 Assessment type Notes % of formal assessment Practical Mathematical Problems 20.00 Total percentage (Assessment Coursework) 20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams
 Exam type Exam duration % of formal assessment Standard exam (closed essays, MCQs etc) 2 hr 80.00 Total percentage (Assessment Exams) 80.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated