Undergraduate Programme and Module Handbook 2015-2016 (archived)
Module MATH3051: STATISTICAL METHODS III
Department: Mathematical Sciences
MATH3051:
STATISTICAL METHODS III
Type |
Open |
Level |
3 |
Credits |
20 |
Availability |
Available in 2015/16 |
Module Cap |
|
Location |
Durham
|
Prerequisites
- Statistical Concepts II (MATH2041).
Corequisites
Excluded Combination of Modules
Aims
- To provide a working knowledge of the theory, computation and
practice of multivariate statistical methods, with focus on the linear
model.
Content
- Introduction to statistical software for data
analysis.
- Multivariate normal distribution.
- Multivariate analysis, including principal component
analysis.
- Regression: linear model, inference, variable selection,
analysis of variance, factorial experiments, diagnostics, influence,
weighted least squares, transformations.
Learning Outcomes
- By the end of the module students will:
- be able to solve novel and/or complex problems in Statistical
Methods.
- have a systematic and coherent understanding of the theory
and mathematics underlying the statistical methods studied.
- be able to formulate a given problem in terms of the linear
model and use the acquired skills to solve it.
- have acquired a coherent body of knowledge on regression
methodology, based on which extensions of the linear model such as
generalized or nonparametric regression models can be easily learnt
and understood.
- In addition students will have specialised mathematical
skills in the following areas which can be used with minimal guidance:
Modelling, Computation.
- Synthesis of data, critical and analytical thinking, computer skills
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lectures demonstrate what is required to be learned and the
application of the theory to practical examples.
- Computer practicals consolidate the studied material and
enhance practical understanding.
- Assignments for self-study develop problem-solving skills and
enable students to test and develop their knowledge and
understanding.
- Formatively assessed assignments provide practice in the
application of logic and high level of rigour as well as feedback for
the students and the lecturer on students' progress.
- The two end-of-term computer-based examination components
assess the ability to use statistical software and basic programming to
solve predictable and unpredictable problems.
- The end-of-year written examination assesses the acquired
knowledge from a more conceptual viewpoint, including mastery of
theoretical aspects underpinning the studied methodology.
Teaching Methods and Learning Hours
Activity |
Number |
Frequency |
Duration |
Total/Hours |
|
Lectures |
38 |
2 per week for 19 weeks and 2 in
term 3 |
1 Hour |
40 |
|
Computer Practicals |
8 |
Four in each of the first two terms. |
1 Hour |
8 |
|
Preparation and Reading |
|
|
|
152 |
|
Total |
|
|
|
200 |
|
Summative Assessment
Component: Examination |
Component Weighting: 70% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
Written examination |
2 hours and 30 minutes |
100% |
|
Component: Practical assessment |
Component Weighting: 30% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
Two computer-based examinations |
2 hours each |
50 each% |
|
Four written or electronic assignments to be
assessed and returned. Other assignments are set for self-study and
complete solutions are made available to students.
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University