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School of Engineering and Informatics (for staff and students)

Statistical Analysis and Probability (993G5)

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Statistical Analysis and Probability

Module 993G5

Module details for 2024/25.

15 credits

FHEQ Level 7 (Masters)

Module Outline

This module will allow you to develop numerous practical real-world examples will be discussed during practical sessions and analysed using the Python programming language.

Indicative Content
• Probability: Random variables and probability distributions, expectation and interpretation of moments, conditional probability and Bayes’ rule, conditional expectation and properties.
• Frequentist statistics: likelihood, point estimators, hypothesis testing, interval estimators (confidence intervals and their connection with hypothesis tests), Central Limits theory (consistency, asymptotic normality, chi square approximation).
• Bayesian Statistics: The Bayesian paradigm, Bayesian models and prior distributions.
• Model Selection: Frequentist model selection, Bayesian model selection and Bayes factors.

Module learning outcomes

Systematically understand the concepts and methods of statistical inference and be able to apply these methods in practical situations and as a part of a decision making process.

Display command of the following intellectual and practical skills: Write programs for Bayesian inference and model selection.

Critically analyse, interpret and appraise articles on Statistics.

Commence scientific and technical writing skills for continuing professional development.

TypeTimingWeighting
Coursework70.00%
Coursework components. Weighted as shown below.
Software ExerciseA1 Week 2 100.00%
Coursework30.00%
Coursework components. Average of best 2 coursework marks.
Problem SetT1 Week 4  
Problem SetT1 Week 6  
Problem SetT1 Week 10  
Timing

Submission deadlines may vary for different types of assignment/groups of students.

Weighting

Coursework components (if listed) total 100% of the overall coursework weighting value.

Prof Jonathan Loveday

Assess convenor
/profiles/114680

Dr Peter Wijeratne

Assess convenor
/profiles/596509

Dr Daniel Creed

Assess convenor
/profiles/112868

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The University reserves the right to make changes to the contents or methods of delivery of, or to discontinue, merge or combine modules, if such action is reasonably considered necessary by the University. If there are not sufficient student numbers to make a module viable, the University reserves the right to cancel such a module. If the University withdraws or discontinues a module, it will use its reasonable endeavours to provide a suitable alternative module.

School of Engineering and Informatics (for staff and students)

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