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Module

MAS8600 : Graduate Foundations of Statistics and Data Science

  • Offered for Year: 2025/26
  • Module Leader(s): Dr James Bentham
  • Lecturer: Dr Aamir Khan
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters

Your programme is made up of credits, the total differs on programme to programme.

Semester 1 Credit Value: 30
ECTS Credits: 15.0
European Credit Transfer System

Aims

The aim of this course is to give students a thorough grounding in the key approaches for conducting statistical inference, and the ability to practically apply these approaches. This course will also give students a firm grasp of key aspects and best practices in statistical computing and data science for them to confidently handle and analyse data.

Outline Of Syllabus

This course will introduce both classical and Bayesian approaches to statistical inference, and where appropriate contrast them with one another. Relevant notions of probability will be introduced where appropriate. Topics covered will include parametric families of models, likelihood, hypothesis testing, and p-values. We will introduce Bayes theorem (both continuous and discrete), as well as the practical specification of priors and computation of posteriors. Classes of common statistical models will be considered, such as linear and generalised linear models. Focus will be spent on the use of computational techniques to conduct statistical analysis (such as random sampling, Monte Carlo, Markov chain Monte Carlo, and related techniques). Practical aspects of computing and data science which will be covered will include data handling, exploratory data analysis, visualisation, best practices in programming (such as the design and structure of code, documentation, and version control), and the application of these techniques to common topics in statistical computing (such as, generalised linear models).

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Scheduled Learning And Teaching ActivitiesLecture101:0010:00Formal Lectures
Scheduled Learning And Teaching ActivitiesLecture202:0040:00Formal Lectures
Guided Independent StudyAssessment preparation and completion230:0060:00Completion of in-course assessments
Guided Independent StudyAssessment preparation and completion12:302:30Unseen exam
Scheduled Learning And Teaching ActivitiesLecture101:0010:00Problem Classes
Scheduled Learning And Teaching ActivitiesLecture51:005:00Revision Classes
Scheduled Learning And Teaching ActivitiesPractical102:0020:00Computer Practical
Guided Independent StudyIndependent study402:0080:00Preparation time for lectures and consolidation of material afterwards
Guided Independent StudyIndependent study201:0020:00Background reading on lectured content
Guided Independent StudyIndependent study23:457:30Review of coursework
Guided Independent StudyIndependent study451:0045:00Revision for unseen exam
Total300:00
Jointly Taught With
Code Title
CSC8643Data Management and Exploratory Data Analysis
MAS8407Practical Statistics for Exploratory Data Analytics
MAS8504Graduate Foundations of Statistics and Data Science (Theory & Methods)
MAS8505Graduate Foundations of Statistics and Data Science (Applications)
Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem classes are used to help develop the students’ abilities at applying the theory to solving problems. Practical classes are used to help the students’ ability to apply the methods in practice.

The teaching methods are appropriate to allow students to develop a wide range of skills. From understanding basic concepts and facts to higher-order thinking.

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Written Examination1501A502.5 hour written exam, comprising a Section A and a Section B.
Exam Pairings
Module Code Module Title Semester Comment
1N/A
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M17Coursework 2. 40-minute class test, conducted during one of the timetabled one-hour lecture slots.
Prob solv exercises1M33Coursework 3. Up to 15-page typeset report based upon a set assignment comprising an open-ended questions.
Formative Assessments

Formative Assessment is an assessment which develops your skills in being assessed, allows for you to receive feedback, and prepares you for being assessed. However, it does not count to your final mark.

Description Semester When Set Comment
Prob solv exercises1MCoursework 1. Up to 6 page typeset report based upon a set assignment comprising open-ended questions.
Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module. The format of the examination will enable students to reliably demonstrate their own knowledge, understanding and application of learning outcomes.

Examination problems may require a synthesis of concepts and strategies from different sections, while they may have more than one way for solution. The examination time allows the students to test different strategies, work out examples and gather evidence for deciding on an effective strategy, while carefully articulating their ideas and explicitly citing the theory they are using.

The coursework assignments allow the students to develop their problem-solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; the summative assessment has a secondary formative purpose as well as its primary summative purpose.

Reading Lists

Timetable