 Academic Year: | 2017/8 |
| Owning Department/School: | Department of Mathematical Sciences |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Intermediate (FHEQ level 5) |
| Period: |
- Semester 1
|
| Assessment Summary: | CW 25%, EX 75% |
| Assessment Detail: |
- Coursework 1 (CW 25%)
- Examination (EX 75%)
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| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
- 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
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| Description:
| Aims:
Introduce classical estimation and hypothesis-testing principles.
Learning Outcomes:
After taking this unit, students should be able to:
* Perform standard estimation procedures and tests on normal data.
* Carry out goodness-of-fit tests and analyse contingency tables.
* Use R to calculate estimates, carry out hypothesis tests and compute confidence intervals.
Skills:
Numeracy T/F A
Problem Solving T/F A
Computing Skills T/F A
Written and Spoken Communication F (in tutorials).
Content:
Point estimation: Maximum-likelihood estimation, including computational aspects; further properties of estimators, including mean square error, efficiency and consistency; robust methods of estimation such as the median and trimmed mean. 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.
Interference for normal data: Tests and confidence intervals for normal means and variances, one-sample problems, paired and unpaired two-sample problems. Contingency tables and goodness-of-fit tests.
Examples of all the above, including case studies in R.
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| Programme availability: |
MA20226 is Compulsory on the following programmes:
Department of Mathematical Sciences
- USMA-AFB01 : BSc(Hons) Mathematics and Statistics (Year 2)
- USMA-AAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 2)
- USMA-AKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 2)
- USMA-AFB05 : BSc(Hons) Statistics (Year 2)
- USMA-AAB06 : BSc(Hons) Statistics with Study year abroad (Year 2)
- USMA-AKB06 : BSc(Hons) Statistics with Year long work placement (Year 2)
MA20226 is Optional on the following programmes:
Department of Economics
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 2)
- UHES-AFB04 : BSc(Hons) Economics and Mathematics (Year 3)
- UHES-AAB04 : BSc(Hons) Economics and Mathematics with Study year abroad (Year 2)
- UHES-AKB04 : BSc(Hons) Economics and Mathematics with Year long work placement (Year 2)
- UHES-ACB04 : BSc(Hons) Economics and Mathematics with Combined Placement and Study Abroad (Year 2)
Department of Mathematical Sciences
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 2)
- USMA-AFB15 : BSc(Hons) Mathematical Sciences (Year 3)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 2)
- USMA-AAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 2)
- USMA-AKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 2)
- USMA-AFB13 : BSc(Hons) Mathematics (Year 3)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 2)
- USMA-AAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 2)
- USMA-AKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 2)
- USMA-AFM14 : MMath(Hons) Mathematics (Year 3)
- USMA-AAM15 : MMath(Hons) Mathematics with Study year abroad (Year 2)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 2)
- USMA-AKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
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