Course co-ordinator(s): John Phillips (Edinburgh), Brendon Bhagwandeen (Malaysia), Eric Aidoo (Dubai).
Aims:
To reinforce basic ideas related to the description and analysis of data, and provide the basis for the application of statistical modelling, estimation, hypothesis testing and regression.
Summary:
This course follows on from Probability and Statistics A. It develops the basic ideas used in statistical analysis and inference, with an emphasis on how we learn from data using both graphical techniques and statistical methodology based on probability theory. Topics presented include: analysis of simple data; construction of statistical models; sampling distributions and properties of estimators; method of moments and introduction to maximum likelihood estimation; inference for data from one population; comparisons of data from two populations; confidence intervals with samples from one or two populations; hypothesis testing; issues related to association between two variables; linear regression; statistical computing.
Detailed Information
Course Description: Link to Official Course Descriptor.
Pre-requisites: none.
Location: Dubai, Edinburgh, Malaysia.
Semester: 2.
Syllabus:
- Analysis of simple data (single variable distributions)
- Construction of statistical models
- Sampling distributions, some properties of estimators
- Introduction to the method of moments and maximum likelihood
- Statistical inference for data from one population
- Comparisons of data from two populations
- Confidence intervals with samples from one or two populations
- Hypothesis Testing: introduction, terminology and test statistics for typical situations
- Issues related to association between two variables: graphical techniques, correlation and contingency tables
- Linear regression
- Statistical computing
Reading list:
J.E. Freund's mathematical statistics, by I. Miller and M. Miller, 6th ed., Prentice-Hall, 1999.
SCQF Level: 8.
Other Information
Help: If you have any problems or questions regarding the course, you are encouraged to contact the course leader.
Canvas: further information and course materials are available on Canvas