| Title: | Biostatistics and Probability |
|---|
| Long Title: | Biostatistics and Probability |
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| Field of Study: |
Statistics
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| Valid From: |
Semester 1 - 2017/18 ( September 2017 ) |
| Module Coordinator: |
Brigid Lucey |
| Module Author: |
HANNAH LORDAN |
| Module Description: |
This module provides a treatment of descriptive statistics, probability distributions, and
regression and correlation. |
| Learning Outcomes |
| On successful completion of this module the learner will be able to: |
| LO1 |
Apply the methods of descriptive statistics to organise, summarise, present and analyse data. |
| LO2 |
Choose, use, and interpret summary statistics. |
| LO3 |
Calculate probabilities using the basic rules of probability and solve related applied problems. |
| LO4 |
Identify common probability distributions, in particular the normal
distribution, and calculate probabilities associated with them. |
| LO5 |
Determine and use the regression line for a set of bivariate data. |
| Pre-requisite learning |
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).
|
| 13080 |
MATH6056 |
Maths for Biological Sciences |
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. |
| No incompatible modules listed |
Co-requisite Modules
|
| 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.
|
| No requirements listed |
Module Content & Assessment
| Indicative Content |
|
Data Collection and Organisation
Qualitative and quantitative data and variables. Collection & presentation of data: tallies, frequency distributions, histograms, frequency curves, ogives, stem & leaf plots. Various patterns and their causes, normal,
skew, truncated, bimodal. Population and sample, sampling techniques.
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Summary Statistics
Measures of central tendency and measures of dispersion. Box plots, outliers. Error bars. Coefficient of variation. Coefficient of skew.
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Fundamentals of Probability
Definitions of probability, calculating probabilities, the complementary event. Compound events, mutually exclusive events. Independence of events, conditional probability. Introduction to Bayes Theorem.
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Probability Distributions
Definition of a random variable and its associated probability distribution function. Examples of discrete random variables. Overview of common discrete probability distributions, to include the Binomial Distribution. Continuous random variables, probability density functions. The Normal (Gaussian) Distribution. Use of tables. Applications of the Normal Distribution in the Biological Sciences. Indicators of normality.
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Regression and Correlation
Scatterplots, correlation coefficient, coefficient of determination, regression equation, prediction:
interpolation and extrapolation, the method of least squares. Discussion of association versus cause-and-effect.
|
| Assessment Breakdown | % |
|---|
| Course Work | 40.00% |
| End of Module Formal Examination | 60.00% |
| Course Work |
|---|
| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Short Answer Questions |
In-class assessment on descriptive statistics |
1,2 |
20.0 |
Week 5 |
| Short Answer Questions |
In-class test - probability |
2,3 |
20.0 |
Week 9 |
| End of Module Formal Examination |
|---|
| Assessment Type |
Assessment Description |
Outcome addressed |
% of total |
Assessment Date |
| Formal Exam |
End-of-semester examination |
1,2,3,4,5 |
60.0 |
End-of-Semester |
| 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.
|
The institute reserves the right to alter the nature and timings of assessment
Module Workload
| Workload: Full Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Exposition of theory with illustrative concrete examples |
3.0 |
Every Week |
3.00 |
| Tutorial |
Questions and answers on lecture content, problem solving under guidance of lecturer |
1.0 |
Every Week |
1.00 |
| Independent & Directed Learning (Non-contact) |
Study of lecture material and exercise sheets |
3.0 |
Every Week |
3.00 |
| Total Hours |
7.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
4.00 |
| Workload: Part Time |
| Workload Type |
Workload Description |
Hours |
Frequency |
Average Weekly Learner Workload |
| Lecture |
Exposition of theory with illustrative concrete examples |
3.0 |
Every Week |
3.00 |
| Tutorial |
Questions and answers on lecture content, problem solving under guidance of lecturer |
1.0 |
Every Week |
1.00 |
| Independent & Directed Learning (Non-contact) |
Study of lecture material and exercise sheets |
3.0 |
Every Week |
3.00 |
| Total Hours |
7.00 |
| Total Weekly Learner Workload |
7.00 |
| Total Weekly Contact Hours |
4.00 |
Module Resources
| Recommended Book Resources |
|---|
- D.Bowers 2014, Medical Statistics from Scratch, 3rd Ed., Wiley [ISBN: 978111851938]
- Martin Bland 2015, An Introduction to Medical Statistics, 4th Ed., OUP [ISBN: 97801995899]
- Bernard Rosner 2011, Fundamentals of Biostatistics, 7th Ed., Cengage [ISBN: 978053873349]
| | Supplementary Book Resources |
|---|
- Alicia Sevilla & Kay Somers 2013, Quantitative Reasoning: Tools for Today's Informed Citizen, 2nd Ed., Key College Publishing USA [ISBN: 97811184068]
- D.S. Moore, G.P. McCabe & B.A. Craig 2015, ntroduction to the Practice of Statistics, 8th Ed., Macmillan [ISBN: 978131901338]
| | This module does not have any article/paper resources |
|---|
| Other Resources |
|---|
- Website: CIT Department of MathematicsCIT MathsOnline, Accessible via CIT Blackboard
- Website: Franco Vivaldi 2009, Essential Mathematics Web-book
- Website: Eric WeissteinWolfram MathWorld
- Website: Wolfram Alpha
- Website: Central Statistics Office
- Website: National Cancer Registry of Ireland
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Module Delivered in
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