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Programme & Unit Catalogues

## MA20226: Statistics 2A

Owning Department/School: Department of Mathematical Sciences
Credits: 6
Level: Intermediate (FHEQ level 5)
Period: Semester 1
Assessment Summary: CW 25%, EX 75%
Assessment Detail:
• Coursework 1 (CW 10%)
• Coursework 2 (CW 15%)
• Examination (EX 75%)
Supplementary Assessment: MA20226 Mandatory extra work (where allowed by programme regulations)
Requisites: Before taking this module you must take MA10211 AND take MA10212
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.
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 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)

Notes:
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, 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.