This module gives an introduction to methods in probability and statistics. These methods are underpinned by the necessary mathematical concepts, and are supported by appropriate software.
The mathematical concepts covered will include the necessary basic algebra, including the study of exponentials and logarithms.
In statistics, the emphasis will be on the use of diagrams and summary measures to inform the interpretation of descriptive statistics (including averages and measures of spread), working with both univariate and bivariate data.
The concepts in basic probability are discussed including addition and multiplication laws, complements, conditional probability and Bayes’ Theorem.
The concept of correlation is discussed for continuous data. The basic ideas of linear regression are then discussed, including interpretation of scatter plots, the idea of the line of best fit Y = A + BX, and making predictions (interpolation and extrapolation). The value of B is statistically tested to validate the linear regression model.
Categorical data is also discussed, with a discussion of independence.
Suitable software will be used to produce statistical output to a range of problems.
The Graduate Attributes relevant to this module are given below:
- Academic: Critical thinker; Analytical; Inquiring; Knowledgeable; Problem-solver; Digitally literate; Autonomous.
- Personal: Effective communicator; Motivated; Resilient
- Professional: Collaborative; Ambitious; Driven.
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