Biomedical Engineering (MSc)
Statistics and Data Analysis
For those who have not met probability statistics before: to enable an understanding of the very basics of statistical analyses in common use in the biomedical engineering sciences, whilst at the same time, presenting a fresh view of statistical concepts. For those who have met statistics before: to give some familiarity with the resources available for performing data and statistical analyses which typically enable more flexibility than is normally found in off-the-shelf packages, such as SPSS.
Appreciation of the underlying concepts of statistics: probability, random variables Appreciation of joint probability and conditional probability Understanding of the relationship between histograms and probability density and probability mass functions Understanding why mathematical models are required to extract information from experimental data Appreciation of the Fourier transformation as a representation of ordered, regularly sampled data in an alternative basis Ability to tackle simple probabilistic analyses of discrete experiments Reporting experimental data with statistical meaning Ability to seek out the appropriate models for analysing problems related to experimental datasets How to create estimates of probability density and probability mass functions from experimental data Use of MATLAB to perform basic statistical tests Use of MATLAB and other computing packages to perform appropriate statistical analysis on experimental data Application of the Fourier transformations for the spectral analysis of signals Drawing of random numbers standard distributions (uniform and Normal); appreciation of what techniques exist for sampling from outside these distributions; understanding of how to create a bootstrap-world, and simulate simple stochastic processes Learn to use MATLAB on-line documentation Use of statistics in reporting experimental data. Transfer of concepts to other courses, such as neuroscience
Calculus, integrals, linear algebra, an understanding of functions of more than one variable. Some programming experience (any language) is preferrable.
Lectures: 24 hours
Labs: 6 hours
● Written exam: 100% weighting
Rubrics: One paper, four questions, answer all four.
Outline answers to past papers will be available
Feedback : Feedback will be provided during assignment correction and laboratory sessions, which also provide an opportunity for students to ask questions on the lectures. Additionally, office hours will be made available.