| Module Code | STP80020 |
| Module Name | Foundations of Statistics |
| ECTS Weighting | 10 ECTS |
| Semester taught | Semester 1 |
| Module Coordinator/s | Dr. James Ng |
Module Learning Outcomes
- To formalise and solve probability problems;
- To use the language of random variables, their expected values and their probability distributions;
- To understand the difference between descriptive and inferential statistics;
- To perform point estimation, uncertainty quantification and hypothesis testing;
- To understand the basics of linear regression;
- To start learning R as programming language for Statistics/Probability.
Module Content
- Descriptive statistics including numerical and graphical methods;
- Random sampling;
- Probability Laws including independence of events, conditional probabilities, and Bayes theorem;
- Random variables, expectation and variance;
- Discrete random variables;
- Continuous random variables;
- Central limit theorem;
- Point estimation including method of moment and maximum likelihood estimation;
- Properties of point estimators;
- Confidence intervals;
- Hypothesis testing;
- Introduction to regression.
Teaching and learning Methods
Lectures, laboratories and tutorials hours: 44. Additional self-studied learning materials on Blackboard.
Assessment Details
| Assessment Component | Brief Description | Learning Outcomes Addressed | % of total | Week set | Week Due |
| Final Exam | In Person Exam (2 hours) | All but LO6 | 80% | NA | NA |
| Assignments | Individual assignments | All | 20% | NA | NA |
Reassessment Details
Written Exam, 100%.
Contact Hours and Indicative Student Workload
| Contact Hours (lectures, labs, tutorials, meetings, etc.) | 44 |
| Independent study (outside scheduled contact hours), broken down by: | 150 |
| Preparation for classes and review of material (including preparation for examination, if applicable | 120 |
| completion of assessments (including examination, if applicable) | 30 |
| Total Hours | 194 |
Recommended Reading List
Material will be provided when needed.
Module Pre-requisites
N/A
Module Co-requisites
N/A
Module Website
Blackboard