Title:  Biostatistics and Probability 
Long Title:  Biostatistics and Probability 
Field of Study: 
Statistics

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. 
Prerequisite 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 
Corequisite Modules

No Corequisite 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.

Summary Statistics
Measures of central tendency and measures of dispersion. Box plots, outliers. Error bars. Coefficient of variation. Coefficient of skew.

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.

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.

Regression and Correlation
Scatterplots, correlation coefficient, coefficient of determination, regression equation, prediction:
interpolation and extrapolation, the method of least squares. Discussion of association versus causeandeffect.

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 
Inclass assessment on descriptive statistics 
1,2 
20.0 
Week 5 
Short Answer Questions 
Inclass 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 
Endofsemester examination 
1,2,3,4,5 
60.0 
EndofSemester 
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 (Noncontact) 
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 (Noncontact) 
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 Webbook
 Website: Eric WeissteinWolfram MathWorld
 Website: Wolfram Alpha
 Website: Central Statistics Office
 Website: National Cancer Registry of Ireland

Module Delivered in
