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 LINEAR STATISTICAL MODELS
Code MATH363
Coordinator Dr K Zychaluk
Mathematical Sciences
Kamila.Zychaluk@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 6 FHEQ First Semester 15

Aims

·      to understand how regression methods for continuous data extend to include multiple continuous and categorical predictors, and categorical response variables.

·      to provide an understanding of how this class of models forms the basis for the analysis of experimental and also observational studies.

·      to understand generalized linear models.

·      to develop familiarity with the computer package SPSS.


Learning Outcomes

After completing the module students should be able to:

        understand the rationale and assumptions of linear regression and analysis of variance.

·      understand the rationale and assumptions of generalized linear models.

·      recognise the correct analysis for a given experiment.

·      carry out and interpret linear regressions and analyses of variance, and derive appropriate theoretical results.

·      carry out and interpret analyses involving generalised linear models and derive appropriate theoretical results.

·      perform linear regression, analysis of variance and generalised linear model analysis using the SPSS computer p ackage.


Syllabus

1

General Linear Models.  Simple linear regression;  one-way analysis of variance; estimation and inference; two and three-way analysis of variance; more complex designs

Generalized Linear Models: Foundations; exponential family of distributions; estimation and inference; binary response variables; normal response variables; contingency tables and log-linear models; other applications.


Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

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

MATH162; MATH101; MATH102; MATH103; MATH263  

Co-requisite modules:

 

Modules for which this module is a pre-requisite:

MATH364 

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

Programme:GG13 Year:3

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

Programme:G100 Year:3 Programme:G101 Year:3,4 Programme:G110 Year:3 Programme:G1N2 Year:3 Programme:G1N3 Year:3 Programme:G1R9 Year:4 Programme:G1X3 Year:3 Programme:GL11 Year:3 Programme:GN11 Year:3 Programme:GR11 Year:4 Programme:GG14 Year:3 Programme:GV15 Year:3 Programme:G1F7 Year:3 Programme:BCG0 Year:3 Programme:L000 Year:3 Programme:Y001 Year:3

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Unseen Written Exam  150  First semester  100  Yes  University policy  Full marks will be given for complete answers to all questions Notes (applying to all assessments) Full marks will be given for complete answers to all questions 
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes