Foundation Statistics - 2024 entry
MODULE TITLE | Foundation Statistics | CREDIT VALUE | 15 |
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MODULE CODE | MTH0004 | MODULE CONVENER | Dr Oscar Rodriguez De Rivera Ortega (Coordinator) |
DURATION: TERM | 1 | 2 | 3 |
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DURATION: WEEKS | 11 |
Number of Students Taking Module (anticipated) | 30 |
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In this module you will earn an understanding of statistical modelling and how it is used to help us understand and predict the world around us. Statistics is the study and analysis of data which is usually applied to a scientific problem in order to draw conclusions about a population. In this module you will learn about mathematical models in probability and statistics; correlation and regression; inference and comparison of models; discrete and continuous distribution; sampling and hypothesis testing to statistical modelling. You will apply the theory to analyse and draw conclusions from a range of real-world data sets. The module will provide you with skills bridging the gap between the material covered prior to a university level and that of a first year degree programme.
You will have weekly scheduled sessions led by the module instructor/convenor. During those sessions you will be introduced to the topic through lecture presentations, learning materials, worked examples provided exercise worksheet, and computer lab practicals. In this module you will learn how to: analyse and interpret data using R; capply and present probability distributions for discrete and continuous random variables; perform sampling and hypothesis testing; present findings and communicate results in a coherent way. You will be assessed through a combination of summative assessments: 2 online reports, a test, and a final exam.
The module aims to develop key ideas and techniques in probability, statistics and data analysis, which will provide you with the necessary foundation for any quantitative degree programme. It helps you build a thorough understanding of statistical inference by getting a grasp of the underlying theories concepts and statistical/mathematical procedures. This will enhance your performance at any research or job prospect which involves statistical reasoning and investigations.
- Representation of data: histograms, box plots, bar graphs; measures of location (mean, median, mode); measures of dispersion (variance, standard deviation, and interquartile range); skewness and concepts of outliers.
- Probability: sample space, mutually exclusive and complementary events, conditional probability, Bayes' Theorem; independence of events; addition and multiplication rules, using a Venn and tree diagrams; sampling with and without replacement.
- Correlation: scatter plot, product moment correlation, interpretation of a scatter plot
- Random variables: probability mass function, cumulative distribution function, probability density function, mean and variance of random variables, discrete uniform distribution, binomial distribution, Poisson distribution, normal distribution, t distribution, normal approximation to the binomial distribution, normal approximation to the Poisson distribution, density histogram.
- Hypothesis testing: one-sample t-test for mean, confidence interval, Type I error, Type II error, null and alternative hypotheses.
Scheduled Learning & Teaching Activities | 44 | Guided Independent Study | 106 | Placement / Study Abroad | 0 |
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Category | Hours of study time | Description |
Scheduled learning & teaching activities | 22 | Formal lectures of new material |
Scheduled learning & teaching activities | 11 | Seminars and tutorials, worked examples, with individual and group support |
Scheduled learning & teaching activities | 11 | Computer Lab Practical |
Guided Independent Study | 106 | Lecture & assessment preparation, wider reading. |
Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Weekly exercises | 10 x 1 hour | 1-9 | Exercises discussed in class, solutions provided |
Coursework | 50 | Written Exams | 50 | Practical Exams | 0 |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Test | 15 | 1 hour | 1-9 | Electronic |
Report 1 | 15 | Short report essay | 1-9 | Electronic/annotated |
Report 2 | 20 | Short report essay | 1-9 | Electronic/annotated |
Written Exam | 50 | 2 hours | 1-9 | Annotated scripts |
Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-assessment |
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Test | Test | 1-9 | Referral/deferral period |
Report 1 | Short report essay | 1-9 | Referral/deferral period |
Report 2 | Short report essay | 1-9 | Referral/deferral period |
Written Exam | Written Exam | 1-9 | Referral/deferral period |
information that you are expected to consult. Further guidance will be provided by the Module Convener
Web-based and electronic resources:
- ELE
Other resources:
- ‘Probability’ by McColl, J. H., London: Edward Arnold, 1995
- ‘Statistics’ by Mayer, A. D. and Sykes, A. M., Arnold, 1996
Reading list for this module:
CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | None |
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CO-REQUISITE MODULES | None |
NQF LEVEL (FHEQ) | AVAILABLE AS DISTANCE LEARNING | No | |
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ORIGIN DATE | Thursday 29th July 2021 | LAST REVISION DATE | Friday 13th September 2024 |
KEY WORDS SEARCH | Statistics; mathematics; probability; data; analysis; modelling; inference. |
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Please note that all modules are subject to change, please get in touch if you have any questions about this module.