Study information

Foundation Statistics - 2022 entry

MODULE TITLEFoundation Statistics CREDIT VALUE15
MODULE CODEMTH0004 MODULE CONVENERDr Chaitra H. Nagaraja (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 11 0 0
Number of Students Taking Module (anticipated) 30
DESCRIPTION - summary of the module content
In this module you will earn an understanding of statistical modelling and how it is used to help us understand and predict the world around us. Statistics is the study and analysis of data which is usually applied to a scientific problem in order to draw conclusions about a population. In this module you will learn about mathematical models in probability and statistics; correlation and regression; inference and comparison of models; discrete and continuous distribution; sampling and hypothesis testing to statistical modelling. You will apply the theory to analyse and draw conclusions from a range of real-world data sets. The module will provide you with skills bridging the gap between the material covered prior to a university level and that of a first year degree programme. 
 
You will have weekly scheduled sessions led by the module instructor/convenor. During those sessions you will be introduced to the topic through lecture presentations, learning materials, worked examples and provided exercise worksheet. In this module you will learn how to: handle sets of data, analyse and interpret; communicate information about the data; apply and present probability distributions for discrete and continuous random variables; perform sampling and hypothesis testing to models; present findings and communicate results in a coherent way. You will be assessed through a combination of summative assessments: online quizzes (2 quizzes), online reports (2 reports) and a final exam.         
AIMS - intentions of the module

The module aims to develop key ideas and techniques in probability, statistics and data analysis, which will provide you with the necessary foundation for any quantitative degree programme. It helps you build a thorough understanding of statistical inference by getting a grasp of the underlying theories concepts and statistical/mathematical procedures. This will enhance your performance at any research or job prospect which involves statistical reasoning and investigations.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)
Module Specific Skills and Knowledge:
1 Demonstrate a sound understanding of selected essential topics in probability theory
2 Demonstrate an ability to implement theoretical concepts to describe and predict real-world problems;
3 Demonstrate a knowledge of the basic ideas of statistical inference, including probability distributions, point and interval estimation and hypothesis testing;
 
Discipline Specific Skills and Knowledge:
4 Show sufficient knowledge of fundamental mathematical and statistical concepts, manipulations and presentation of results.
5 Demonstrate an appreciation of inferential statistical concepts and predicted outcomes
 
Personal and Key Transferable/ Employment Skills and Knowledge:
6 Be able to provide thorough reasoning using abstract ideas, and to formulate and solve problems; 
7 Be able to communicate results and solutions effectively orally and in writing;
8 Use learning resources appropriately;
9 Exhibit self-management and time management skills.
 
SYLLABUS PLAN - summary of the structure and academic content of the module

- Representation of data: histograms, stem and leaf diagrams, box plots to compare distributions; measures of location – mean, median, mode; measures of dispersion – variance, standard deviation, range and interpercentile range; skewness and concepts of outliers;

- Probability: sample space, exclusive and complementary events, conditional probability; independence of events, sum and product laws using tree and Venn diagrams/sampling with and without replacement

- Correlation and regression: scatter diagrams, linear regression, applications and interpretations (interpolations/extrapolation), the product moment correlation coefficient and interpretation.

- Discrete random variables: probability function and cumulative distribution function; mean and variance of discrete random variables; discrete uniform distribution, Binomial and Poisson.

- Continuous random variables: probability density function, and the cumulative distribution function; relation between density and distribution functions; mean and variance for continuous random variables; normal distribution, normal distribution as an approximation for Binomial and Poisson distributions.

- Hypothesis tests: population, census and sample, sampling unit; Concepts and interpretations of a hypothesis test: Null and alternative hypotheses; critical region; one-tailed and two-tailed tests; hypothesis test for the parameter p of a Binomial distribution and for the mean of a Poisson distribution.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 44 Guided Independent Study 106 Placement / Study Abroad 0
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning & teaching activities 22 Formal lectures of new material,
Scheduled learning & teaching activities 22 Seminars and tutorials, worked examples, with individual and group support.
Guided Independent Study 106 Lecture & assessment preparation, wider reading.

 

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Weekly exercises 10 x 1 hour 1-9 Exercises discussed in class, solutions provided

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 40 Written Exams 60 Practical Exams 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
2 Online Quizzes (each quiz  may be attempted multiple times, but students are required to achieve at least 60% for each quiz - otherwise a score of zero will be recorded.   2 x 10% 2 x 1 hour 1-9 Electronic
2 Reports/Online 2 x 10% Short report essay 1-9 Electronic/annotated
Written Exam 60% 2 hours 1-9  

 

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-assessment
2 Online Quizzes* 2 Online Quizzes (2 x 10%) 1-9 August Ref/Def period
2 Reports/Online 2 Reports/Online (2 x 10%) 1-9 August Ref/Def period
Written Exam Written Exam 1-9 August Ref/Def period

*(each online quiz (2 in total) may be attempted multiple times, but students are required to achieve at least 60% for each quiz - otherwise a score of zero will be recorded.)

RE-ASSESSMENT NOTES
RE-ASSESSMENT NOTES –
Deferral – if you have been deferred for any assessment, you will be expected to complete relevant deferred assessments as determined by the Mitigation Committee. The mark given for re-assessment taken as a result of deferral will not be capped and will be treated as it would be if it were your first attempt at the assessment.
 
Referral – if you have failed the module overall (i.e. a final overall module mark of less than 40%) you will be required to undertake re-assessments as described in the table above for any of the original assessments that you failed. The mark given for a re-assessment taken as a result of referral will be capped at 40%.
RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
information that you are expected to consult. Further guidance will be provided by the Module Convener

Basic reading\Web-based and electronic resources:

  • ELE – College to provide hyperlink to appropriate pages

Other resources:

  • ‘Probability’ by McColl, J. H., London: Edward Arnold, 1995 [Library]
  • ‘Statistics’ by Mayer, A. D. and Sykes, A. M., Arnold, 1996 [Library]

 

Reading list for this module:

There are currently no reading list entries found for this module.

CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
NQF LEVEL (FHEQ) AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Thursday 29th July 2021 LAST REVISION DATE Thursday 15th September 2022
KEY WORDS SEARCH Statistics; mathematics; probability; data; analysis; modelling; inference.

Please note that all modules are subject to change, please get in touch if you have any questions about this module.