Academic Year: 
2014/5 
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 (CW 25%)
 Examination (EX 75%)

Supplementary Assessment: 
MA20226 Mandatory extra work (where allowed by programme regulations)

Requisites: 
Before taking this unit you must take MA10211 and take MA10212 
Description: 
Aims: Introduce classical estimation and hypothesistesting principles.
Learning Outcomes: After taking this unit, students should be able to:
* Perform standard estimation procedures and tests on normal data.
* Carry out goodnessoffit 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: Maximumlikelihood 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; NeymanPearson lemma. Onesided and twosided tests.
Distributions related to the normal: t, chisquare and F distributions.
Interference for normal data: Tests and confidence intervals for normal means and variances, onesample problems, paired and unpaired twosample problems. Contingency tables and goodnessoffit tests.
Examples of all the above, including case studies in R.

Programme availability: 
MA20226 is Compulsory on the following programmes:
Department of Mathematical Sciences
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 2)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 2)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 2)
 USMAAFB05 : BSc(Hons) Statistics (Year 2)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 2)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 2)
MA20226 is Optional on the following programmes:
Programmes in Natural Sciences
 UXXXAFB01 : BSc(Hons) Natural Sciences (Year 2)
 UXXXAAB02 : BSc(Hons) Natural Sciences with Study year abroad (Year 2)
 UXXXAKB02 : BSc(Hons) Natural Sciences with Year long work placement (Year 2)
Department of Mathematical Sciences
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 2)
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 3)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 2)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 2)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
 USMAAFB13 : BSc(Hons) Mathematics (Year 2)
 USMAAFB13 : BSc(Hons) Mathematics (Year 3)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 2)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 2)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
 USMAAFM14 : MMath(Hons) Mathematics (Year 2)
 USMAAFM14 : MMath(Hons) Mathematics (Year 3)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 2)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 2)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
