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MATH4071: Topics in Statistics IV

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Type Open
Level 4
Credits 20
Availability Not available in 2024/2025
Module Cap
Location Durham
Department Mathematical Sciences

Prerequisites

  • Statistical Methods III (MATH 3051).

Corequisites

  • None.

Excluded Combinations of Modules

  • Topics in Statistics III (MATH 3361).

Aims

  • To provide a working knowledge of the theory, computation andpractice of a number of specialised statistical tools, complementingStatistical Methods III.

Content

  • Likelihood-based inference
  • Generalised linear models
  • Log-linear modelling of contingency tables
  • Advanced topic: one of multivariate analysis, time seriesanalysis, medical statistics.
  • Reading material in an advanced area of statistics chosenby the lecturer.

Learning Outcomes

Subject-specific Knowledge:

  • By the end of the module students will:
  • be aware of a wide range of applicable statisticalmethodology.
  • have a systematic and coherent understanding of the theory,computation and application of the mathematics underlying thestatistical topics studied.
  • have acquired a coherent body of applicable knowledge onlikelihood methods as a general approach to inference.
  • have acquired a coherent body og knowledge of generalisedlinear methods and log-linear modelling.
  • have a knowledge and understanding of a substantial topic inan advanced area of statistics obtained by independent study.

Subject-specific Skills:

  • In addition students will have specialised mathematicalskills in the following areas which can be used with minimal guidance:Modelling, Computation.

Key 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 theapplication of the theory to practical examples.
  • Computer practicals consolidate the studied material andenhance practical understanding.
  • Assignments for self-study develop problem-solving skills andenable students to test and develop their knowledge andunderstanding.
  • Formatively assessed assignments provide practice in theapplication of logic and high level of rigour as well as feedback forthe students and the lecturer on students' progress.
  • The end-of-year examination assesses the knowledge acquiredand the ability to solve predictable and unpredictableproblems.

Teaching Methods and Learning Hours

ActivityNumberFrequencyDurationTotalMonitored
Lectures402 per week for 20 weeks (omitting two slots) and 2 in term 31 Hour40 
Computer Practicals2In unused lecture slots in first two terms1 Hour2 
Problems Classes8Four in each of terms 1 and 21 Hour8 
Preparation and Reading150 
Total200 

Summative Assessment

Component: ExaminationComponent Weighting: 100%
ElementLength / DurationElement WeightingResit Opportunity
Written examination3 hours100 

Formative Assessment

More information

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