MA321-6-SP-CO:
Applied Statistics
2019/20
Mathematics, Statistics and Actuarial Science (School of)
Colchester Campus
Spring
Undergraduate: Level 6
Current
Monday 13 January 2020
Friday 20 March 2020
15
01 October 2019
Requisites for this module
(none)
MA317
(none)
(none)
(none)
BSC 5B43 Statistics (Including Year Abroad),
BSC 9K12 Statistics,
BSC 9K13 Statistics (Including Placement Year),
BSC 9K18 Statistics (Including Foundation Year),
BSC I1G3 Data Science and Analytics,
BSC I1GB Data Science and Analytics (Including Placement Year),
BSC I1GC Data Science and Analytics (Including Year Abroad),
BSC I1GF Data Science and Analytics (Including Foundation Year)
This module covers three application areas of statistics: multivariate methods, demography and epidemiology and sampling.
Syllabus:
Multivariate methods
Vectors of expected values. Covariance and correlation matrices. Discriminant analysis, choice between two populations, calculation of discriminant function, and probability of misclassification, test and training samples, leave-one-out and k-fold cross-validation, idea of extension to several populations. Principal components; definition, interpretation of calculated components, use in regression. Cluster analysis, similarity measures, single-link and other hierarchical methods, k-means. Informal approaches to checking for multivariate Normality. Tests and confidence regions for multivariate means.
Demography and epidemiology
Population pyramids. Life tables. Standardised rates (e.g. mortality). Incidence and prevalence. Design and analysis of cohort (prospective) studies. Design and analysis of case-control (retrospective) studies. Confounding and interaction.
Matched case control design and analyses, using McNemar's test. Causation.
Relative risk. Odds ratio. Estimation and confidence intervals for 2x2 tables.
Mantel-Haenszel procedure. Sensitivity, specificity, ROC curves, positive predictive value, negative predictive value.
Sampling
Census and sample survey design. Target and study populations, uses and limitations of non-probability sampling methods, sampling frames, sampling fraction.
Simple random sampling. Estimators of totals, means and proportions; bias. Estimated standard errors, confidence intervals and precision. Sampling fraction and finite population correction. Ratio and regression estimators. Stratified random sampling. Estimators of totals, means and proportions; bias. Estimated standard errors, confidence intervals and precision. Cost functions. Proportional and optimal allocations. Limitations of stratified sampling. One-stage cluster sampling. Estimators for totals, means and proportions with equal cluster sizes and with different cluster sizes. Estimated standard errors, confidence intervals and precision. Link with systematic sampling. Description of two-stage sampling and of multi-stage sampling. Limitations.
On completion of the course students should be able to:
Understand and to apply multivariate methods;
Assess the results of discriminant analysis, principal components, cluster analysis and multivariate analysis of variance;
Understand and to apply demographical and epidemiological methods;
Understand and to apply sampling methods.
No additional information available.
The module consists of 20 lectures, 5 classes, 5 labs. 3 hours (2 lectures, 1 class or lab) per week in the spring term. In the summer term 3 revision lectures are given. A project is undertaken in groups. Coursework consists of problem sheets, a project report and presentation.
- James, Gareth; Witten, Daniela; Hastie, Trevor; Tibshirani, Robert. (2013) An introduction to statistical learning: with applications in R, New York: Springer. vol. Springer texts in statistics
The above list is indicative of the essential reading for the course. The library makes provision for all reading list items, with digital provision where possible, and these resources are shared between students. Further reading can be obtained from this module's reading list.
Assessment items, weightings and deadlines
| Coursework / exam |
Description |
Deadline |
Coursework weighting |
| Coursework |
Initial Task |
|
25% |
| Coursework |
Group Presentation and Group Project |
|
75% |
| Exam |
Main exam: 24hr during Summer (Main Period)
|
Additional coursework information
Projects supervised by specialists in data science and applied statistics from industry.
Exam format definitions
- Remote, open book: Your exam will take place remotely via an online learning platform. You may refer to any physical or electronic materials during the exam.
- In-person, open book: Your exam will take place on campus under invigilation. You may refer to any physical materials such as paper study notes or a textbook during the exam. Electronic devices may not be used in the exam.
- In-person, open book (restricted): The exam will take place on campus under invigilation. You may refer only to specific physical materials such as a named textbook during the exam. Permitted materials will be specified by your department. Electronic devices may not be used in the exam.
- In-person, closed book: The exam will take place on campus under invigilation. You may not refer to any physical materials or electronic devices during the exam. There may be times when a paper dictionary,
for example, may be permitted in an otherwise closed book exam. Any exceptions will be specified by your department.
Your department will provide further guidance before your exams.
Overall assessment
Reassessment
Module supervisor and teaching staff
Prof Berthold Lausen, email: blausen@essex.ac.uk.
Professor Berthold Lausen (blausen@essex.ac.uk), Dr Fanlin Meng (fanlin.meng@essex.ac.uk), Dr Stella Hadjianto (sh19670@essex.ac.uk)
Professor Berthold Lausen (blausen@essex.ac.uk)
Yes
No
No
Prof Fionn Murtagh
University of Huddersfield
Professor of Data Science
Available via Moodle
Of 103 hours, 38 (36.9%) hours available to students:
65 hours not recorded due to service coverage or fault;
0 hours not recorded due to opt-out by lecturer(s).
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