MA22014: Statistics 2A
[Page last updated: 09 August 2024]
| Academic Year: | 2024/25 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 10 [equivalent to 20 CATS credits] |
| Notional Study Hours: | 200 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Semester 1
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| Assessment Summary: | EXCB 100% |
| Assessment Detail: |
- Closed-book written examination (EXCB 100%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must ( take MA12003 AND take MA12004 ) OR ( take MA12011 AND take MA12008 ) OR take MA12013
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| Learning Outcomes: |
By the end of the course you will be able to:
- Perform standard estimation procedures and hypothesis tests for parameters in a variety of statistical models
- Analyse a variety of models for normally distributed data.
- Carry out goodness-of-fit tests and analyse contingency tables.
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| Synopsis: | This unit will develop your knowledge of statistical theory and your ability to apply statistical methods in analysing data. You will use the programming language R to fit models to data and you will develop the skills to interpret and use a fitted model.
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| Content: | Maximum-likelihood estimation
Properties of estimators, including mean square error, efficiency and consistency
Confidence intervals.
Hypothesis testing: Size and power of tests, Neyman-Pearson lemma, one-sided and two-sided tests.
Distributions related to the normal: t, chi-square and F distributions.
Inference for normally distributed data: Tests and confidence intervals for normal means and variances, one-sample problems, paired and unpaired two-sample problems, one-way analysis of variance, simple linear models.
Model checking and robust methods
Contingency tables and goodness-of-fit tests.
Examples of all the above, including case studies analysed using R.
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| Course availability: |
MA22014 is Compulsory on the following courses:
Department of Computer Science
- USCM-AFB32 : BSc(Hons) Computer Science and Mathematics (Year 2)
- USCM-AKB32 : BSc(Hons) Computer Science and Mathematics with professional placement (Year 2)
- USCM-AKB32 : BSc(Hons) Computer Science and Mathematics with study abroad (Year 2)
- USCM-AFM32 : MComp(Hons) Computer Science and Mathematics (Year 2)
- USCM-AKM32 : MComp(Hons) Computer Science and Mathematics with professional placement (Year 2)
- USCM-AKM32 : MComp(Hons) Computer Science and Mathematics with study abroad (Year 2)
Department of Economics
- UHES-AFB12 : BSc(Hons) Economics and Mathematics (Year 2)
- UHES-AKB12 : BSc(Hons) Economics and Mathematics with professional placement (Year 2)
- UHES-AKB12 : BSc(Hons) Economics and Mathematics with professional placement and study abroad (Year 2)
- UHES-AKB12 : BSc(Hons) Economics and Mathematics with study abroad (Year 2)
Department of Mathematical Sciences
- USMA-AFB32 : BSc(Hons) Mathematics and Statistics (Year 2)
- USMA-AKB32 : BSc(Hons) Mathematics and Statistics with professional placement (Year 2)
- USMA-AKB32 : BSc(Hons) Mathematics and Statistics with study abroad (Year 2)
- USMA-AFB33 : BSc(Hons) Mathematics, Statistics and Data Science (Year 2)
- USMA-AKB33 : BSc(Hons) Mathematics, Statistics and Data Science with professional placement (Year 2)
- USMA-AKB33 : BSc(Hons) Mathematics, Statistics and Data Science with study abroad (Year 2)
MA22014 is Optional on the following courses:
Department of Mathematical Sciences
- USMA-AFB30 : BSc(Hons) Mathematics (Year 2)
- USMA-AKB30 : BSc(Hons) Mathematics with professional placement (Year 2)
- USMA-AKB30 : BSc(Hons) Mathematics with study abroad (Year 2)
- USMA-AFM30 : MMath(Hons) Mathematics (Year 2)
- USMA-AKM30 : MMath(Hons) Mathematics with professional placement (Year 2)
- USMA-AKM31 : MMath(Hons) Mathematics with study abroad (Year 2)
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Notes: - This unit catalogue is applicable for the 2024/25 academic year only. Students continuing their studies into 2025/26 and beyond should not assume that this unit will be available in future years in the format displayed here for 2024/25.
- Courses and units are subject to change in accordance with normal University procedures.
- Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
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