Academic Year:
 2012/3 
Owning Department/School:
 Department of Mathematical Sciences 
Credits:
 6 
Level:
 Intermediate (FHEQ level 5) 
Period: 
Semester 1

Assessment:
 CW 25%, 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 (Fulltime)  Year 2
 USMAAKB02 : BSc (hons) Mathematics and Statistics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAAB02 : BSc (hons) Mathematics and Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAFB05 : BSc (hons) Statistics (Fulltime)  Year 2
 USMAAKB06 : BSc (hons) Statistics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAAB06 : BSc (hons) Statistics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
MA20226 is Optional on the following programmes:
Programmes in Natural Sciences
 UXXXAFB01 : BSc (hons) Natural Sciences (Fulltime)  Year 2
 UXXXAKB02 : BSc (hons) Natural Sciences with Industrial Placement (Fulltime with Thick Sandwich Placement)  Year 2
 UXXXAAB02 : BSc (hons) Natural Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
Department of Mathematical Sciences
 USMAAFB15 : BSc (hons) Mathematical Sciences (Fulltime)  Year 2
 USMAAFB15 : BSc (hons) Mathematical Sciences (Fulltime)  Year 3
 USMAAKB16 : BSc (hons) Mathematical Sciences (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAKB16 : BSc (hons) Mathematical Sciences (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAAB16 : BSc (hons) Mathematical Sciences with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFB13 : BSc (hons) Mathematics (Fulltime)  Year 2
 USMAAFB13 : BSc (hons) Mathematics (Fulltime)  Year 3
 USMAAKB14 : BSc (hons) Mathematics (Fulltime with Thick Sandwich Placement)  Year 2
 USMAAKB14 : BSc (hons) Mathematics (Fulltime with Thick Sandwich Placement)  Year 4
 USMAAAB14 : BSc (hons) Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
 USMAAAB14 : BSc (hons) Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 4
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 2
 USMAAFM14 : MMath Mathematics (Fulltime)  Year 3
 USMAAAM15 : MMath Mathematics with Study Year Abroad (Fulltime with Study Year Abroad)  Year 2
