MA20302: Statistics 2
[Page last updated: 03 June 2024]
| Academic Year: | 2024/25 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 12 [equivalent to 24 CATS credits] |
| Notional Study Hours: | 240 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Academic Year
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| Assessment Summary: | CWSI 35%, EXCB 65% |
| Assessment Detail: |
- Examination (EXCB 65%)
- Coursework (CWSI 35%)
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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 MA10211 AND take MA10212
In taking this module you cannot take MA20226 OR take MA20227
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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
- Apply the theory for normal linear models in carrying out data analyses using R
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| Synopsis: | This unit will develop your knowledge of statistical theory and your ability to apply statistical methods in analysing data, with particular focus on the normal linear model.
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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| Aims: | 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
- Apply the theory for normal linear models in carrying out data analyses using R
|
| Skills: | Numeracy T/F A
Problem Solving T/F A
Computing Skills T/F A
Written and Spoken Communication F (in tutorials).
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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
- Formulation of the general normal linear model
- Multiple regression: estimation of model parameters, hypothesis tests and confidence intervals, prediction with assessment of uncertainty
- Modelling of categorical predictors as factors and interpretation main effects and interactions.
- Model diagnostics using residuals, leverage and points of influence. Detection and handling of outliers
- Model selection and transformation of variables.
- Orthogonality and identifiability. Interpretation of regression coefficients and causality
- Examples of all the above, including case studies analysed using R
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| Course availability: |
MA20302 is Optional on the following courses:
Department of Economics
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 3)
- UHES-AAB04 : BSc(Hons) Economics and Mathematics with Study year abroad (Year 4)
- UHES-AKB04 : BSc(Hons) Economics and Mathematics with Year long work placement (Year 4)
- UHES-ACB04 : BSc(Hons) Economics and Mathematics with Combined Placement and Study Abroad (Year 4)
Department of Mathematical Sciences
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
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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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