Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title INTRODUCTION TO STATISTICS
Code MATH162
Coordinator Dr BN Vasiev
Mathematical Sciences
B.Vasiev@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2020-21 Level 4 FHEQ Second Semester 15

Aims

•To introduce topics in Statistics and to describe and discuss basic statistical methods.
•To describe the scope of the application of these methods.

Learning Outcomes

(LO1) To know how to describe statistical data.

(LO2)  To be able to use the Binomial, Poisson, Exponential and Normal distributions.

(LO3) To be able to perform simple goodness-of-fit tests.

(LO4) To be able to use an appropriate statistical software package to present data and to make statistical analysis.

(S1) Numeracy

(S2) Problem solving skills

(S3) IT skills

(S4) Communication skills

Syllabus
 

Introduction and description of data

Examples of what "Statistics" as a discipline is about, populations and samples, graphical summaries, shape, location and spread of data.

Elements of Probability Theory.

Intuitive meaning of probability, events, compound events, conditional probability and Bayes'' rule.

Probability Distributions

Discrete and continuous random variables: the probability mass function, the probability density function and distribution function. Expectation and Variance. The Binomial and Poisson distributions. The Normal Distribution. Approximations.

Statistical Inference.

The principles of hypothesis testing, the chi-squared test of goodness of fit, the chi-squared test of association, central limit theorem, Normal confidence intervals.

Statistics using a statistical software package such as R.

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
 

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Exam Standard UoL penalty applies for late submission. This is an anonymous assessment. Assessment Schedule (When) :Second semester  150 hours    80       
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Coursework Standard UoL penalty applies for late submission. This is not an anonymous assessment. Assessment Schedule (When) :Second semester      20