Statistical Models (Year 3) (U01615)

? Credit Points : 10 ? SCQF Level : 9 ? Acronym : MAT-3-StM

Optional course for Honours Degrees involving Mathematics. Syllabus summary: Modelling of Data; one-way analysis of variance; simple linear regression; parametric families of distributions; likelihood; maximum likelihood estimation; likelihood ratio tests and intervals; joint, marginal and conditional distributions.

Entry Requirements

? Pre-requisites : MAT-2-FoC, MAT-2-SVC, MAT-2-LiA, MAT-2-MAM, MAT-2-Prb, MAT-2-SMe

? Prohibited combinations : MAT-2-StM, similar courses from Mathematics 3 (Hons) prior to 2004-05

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 3rd year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) 30 minutes per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Monday	14:00	14:50	KB
Lecture	Thursday	14:00	14:50	KB

? Additional Class Information : Tutorials: at times to be arranged.

Summary of Intended Learning Outcomes

The following are to be achieved at a higher level than for MAT-2-StM; this will be assessed by a more demanding examination.

1. Facility with bivariate, marginal and conditional distributions.
2. Ability to fit, criticise and predict from simple linear regression and one-way classification models.
3. Ability to derive likelihood functions with one or two parameters, to plot one-parameter likelihoods, find their maxima and their curvature at maxima.
4. Ability to interpret test statistics and significance probabilities.
5. Ability to derive inferential methods using general procedures such as likelihood ratios and maximum likelihood.
6. Facility with Minitab commands for methods of inference developed in the course.