Module Details
Module Code: |
STAT7008 |
Title: |
Statistical Inference
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Long Title:
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Statistical Inference
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NFQ Level: |
Intermediate |
Valid From: |
Semester 1 - 2018/19 ( September 2018 ) |
Field of Study: |
4620 - Statistics
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Module Description: |
This module covers the principles of probability, common probability distributions, sampling theory and inferential statistics, to include both estimation and hypothesis testing.
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Learning Outcomes |
On successful completion of this module the learner will be able to: |
# |
Learning Outcome Description |
LO1 |
Apply the rules of probability and use probability models for data analysis. |
LO2 |
Compute point and interval estimates for population parameters. |
LO3 |
Formulate and test statistical hypotheses. |
LO4 |
Interpret the results of statistical tests, and communicate findings clearly and concisely. |
LO5 |
Use appropriate software for statistical and decision analysis. |
Dependencies |
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
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9011 |
MATH6057 |
IS Maths & Statistics |
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list.
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No incompatible modules listed |
Co-requisite Modules
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No Co-requisite modules listed |
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.
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No requirements listed |
Indicative Content |
Probability
Classical Probability, Relative frequency definition. Compound events, mutually exclusive and independent events. Expected value.
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Probability Distributions
Discrete and Continuous variables.
Random variables. Discrete and continuous distributions including Binomial, Poisson, Normal Distributions.
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Sampling Theory
Discussion of various sampling methods, for example, random, stratified, cluster, systematic, snowball. Sample statistics, sampling distributions, standard error. Discussion of the distribution of the sample mean via the Central Limit Theorem.
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Confidence Intervals
Point and interval estimates for means and proportions. Calculation of the required sample size to obtain confidence intervals of required length for a single parameter.
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Hypothesis Testing
Hypothesis tests – null hypothesis, alternative hypothesis. Hypothesis tests for: one-sample mean and proportion; difference between two-sample means and proportions.
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Software Tools
Statistical software procedures, using packages such as Excel, Minitab, R, for probability distributions, confidence intervals, and hypothesis testing.
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Module Content & Assessment
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Assessment Breakdown | % |
Coursework | 30.00% |
End of Module Formal Examination | 70.00% |
Assessments
End of Module Formal Examination |
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Reassessment Requirement |
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
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The University reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time |
Workload Type |
Contact Type |
Workload Description |
Frequency |
Average Weekly Learner Workload |
Hours |
Lecture |
Contact |
Delivery of content and material underpinning learning outcomes |
Every Week |
3.00 |
3 |
Lab |
Contact |
Statistics Computer Laboratory |
Every Second Week |
0.50 |
1 |
Tutorial |
Contact |
Questions and answers on lecture content, tutorial sheets |
Every Second Week |
0.50 |
1 |
Independent & Directed Learning (Non-contact) |
Non Contact |
Review of module content, completion of exercise sheets and laboratory work |
Every Week |
3.00 |
3 |
Total Hours |
8.00 |
Total Weekly Learner Workload |
7.00 |
Total Weekly Contact Hours |
4.00 |
Workload: Part Time |
Workload Type |
Contact Type |
Workload Description |
Frequency |
Average Weekly Learner Workload |
Hours |
Lecture |
Contact |
Lecture |
Every Week |
2.00 |
2 |
Lab |
Contact |
Statistics Computer Laboratory |
Every Second Week |
0.50 |
1 |
Tutorial |
Contact |
Questions and answers on lecture content, tutorial sheets |
Every Second Week |
0.50 |
1 |
Independent Learning |
Non Contact |
Review of module content, completion of exercise sheets and laboratory work |
Every Week |
4.00 |
4 |
Total Hours |
8.00 |
Total Weekly Learner Workload |
7.00 |
Total Weekly Contact Hours |
3.00 |
Module Resources
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Recommended Book Resources |
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Tadhg L.O'Shea. (2012), Essential Statistics for Researchers, Treoraí Publications, [ISBN: 9780957505902].
| Supplementary Book Resources |
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Jon Curwin. (2008), Quantitative Methods for Business Decisions, Sixth. Thomson, London, [ISBN: 978-1844805747].
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J.D Cryer, B.F. Ryan & B.L. Joiner. (2013), Minitab Handbook, 6th. Brooks/Cole, [ISBN: 1285175026].
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Mark L. Berenson, David M. Levine, Timothy C. Krehbiel. (2014), Basic Business Statistics, 13th. Pearson/Prentice Hall Upper Saddle River, N.J., [ISBN: 978-0-13-5009].
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Charles Henry Brase, Corrinne Pellillo Brase. (2015), Understanding Basic Statistics, 7th. Cengage, [ISBN: 978-13052540].
| This module does not have any article/paper resources |
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Other Resources |
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Website, CIT MathsOnline, CIT Department of Mathematics,
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Website, mathcentre,
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Website, Wolfram Alpha, Wolfram,
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Website, Khan Academy,
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Website, Central Statistics Office, Ireland,
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