### MAS1342 : Introduction to Statistics

• Module Leader(s): Dr Malcolm Farrow
• Owning School: Mathematics & Statistics
##### Semesters
 Semester 2 Credit Value: 10 ECTS Credits: 5.0

#### Aims

To develop ideas and methods essential for the study of probability and statistics. To develop a familiarity with ideas of continuous probability models and their interpretation, and inference through likelihood. To further develop use of the statistical package R. To further develop writing skills through project work.

Module Summary

The course will be mainly concerned with using probability theory and observed data together in order to estimate the properties of a population. For example, we will see how we can use information on the actual survival rates of a group of patients to make statements about survival rates of patients in general, and how confident we can be about the accuracy of such statements. Key statistical ideas will be introduced in the examination of these questions.

#### Outline Of Syllabus

Continuous probability models. Calculation and interpretation of mean and variance. Practical illustrations and calculation of probabilities using R. Introduction to statistical inference: estimation of population quantities and properties of estimators. Introduction to likelihood inference: maximum likelihood estimation and the motivation and use of the asymptotic properties of the maximum likelihood estimator. Introduction to hypothesis tests: simple hypotheses, critical regions and power. Motivation and use of a one-sample t-test.

#### Teaching Methods

##### Teaching Activities
Category Activity Number Length Student Hours Comment
Guided Independent StudyAssessment preparation and completion111:0011:00Revision for unseen Exam
Guided Independent StudyAssessment preparation and completion11:301:30Unseen Exam
Guided Independent StudyAssessment preparation and completion24:008:00Project
Guided Independent StudyAssessment preparation and completion42:008:00CBAs
Scheduled Learning And Teaching ActivitiesLecture201:0020:00Formal lectures
Guided Independent StudyAssessment preparation and completion28:0016:00Written assignments
Scheduled Learning And Teaching ActivitiesLecture21:002:00Revision lectures
Scheduled Learning And Teaching ActivitiesLecture41:004:00Problem classes
Scheduled Learning And Teaching ActivitiesPractical21:002:00N/A
Scheduled Learning And Teaching ActivitiesDrop-in/surgery120:000:00Office Hours in a staff office
Scheduled Learning And Teaching ActivitiesDrop-in/surgery21:002:00Tutorials in the lecture room
Guided Independent StudyIndependent study121:3021:30Studying, practising and gaining understanding of course material
Guided Independent StudyIndependent study22:004:00Assignment review
Total100:00
##### Jointly Taught With
Code Title
MAS2342Introduction to Statistics
##### Teaching Rationale And Relationship

Lectures are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on marked work. Problem Classes are used to help develop the studentsâ€™ abilities at applying the theory to solving problems. Tutorials are used to identify and resolve specific queries raised by students and to allow students to receive individual feedback on marked work. Practicals are used both for solution of problems and work requiring extensive computation and for simulation to give insight into the ideas/methods studied. Office hours provide an opportunity for more direct contact between individual students and the lecturer.

#### Assessment Methods

The format of resits will be determined by the Board of Examiners

##### Exams
Description Length Semester When Set Percentage Comment
Written Examination902A70unseen
##### Exam Pairings
Module Code Module Title Semester Comment
MAS2342Introduction to Statistics2N/A
##### Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises2M10N/A
Computer assessment2M10CBAs
Written exercise2M10project work
##### Assessment Rationale And Relationship

A substantial formal unseen examination is appropriate for the assessment of the material in this module. Approximately two written assignments of approximately equal weight (worth approximately 10% in total), approximately two computer based assessments of approximately equal weight (worth approximately 10% in total), and project work (worth 10%) allow the students to develop their problem solving techniques, to practise the methods learnt in the module and to receive feedback; this is thus formative as well as summative assessment.