Swinburne University of Technology - Melbourne Australia
Future Students - Courses
Duration
Contact Hours
Campus
Prerequisite
Corequisite
One semester / teaching period
36
Hawthorn, Online
HMS780 Multivariate Statistics
Credit Points: 12.5 Credit Points
A unit of study in the Master of Science (Applied Statistics)
The aims of this unit are to provide knowledge and skills sufficient to allow students to understand basic syntax and programming in the statistical language R, and to learn how to apply methods of data analysis using R software. Methods include advanced graphical representations, simulation and probability models, classical hypothesis testing, R modelling syntax, maximum likelihood estimation and Bayesian analysis using Markov Chain Monte Carlo simulation methods. Learning Objectives After successfully completing this unit, you should be able to: * Understand R data types and the R language. * Use R software to display, describe and summarize data. * Use R to control finer details of graphical representations. * Develop knowledge of simulation functions and understand their purpose. * Calculate confidence intervals and perform classical hypothesis tests. * Understand R modeling syntax and basic R programming. * Fit a variety of different linear models. * Understand the differences between Bayesian estimation and maximum likelihood estimation. * Apply Bayesian methodology using Markov Chain Monte Carlo simulation.
Twelve lectures (3 hours) and independent study
Online quizzes (10%) Two Assignments (40%) Examination (50%)
This unit is designed to produce graduates who: • Possess the following generic skills; * Data analysis skills * Problem solving skills * Able to tackle unfamiliar problems * Able to work independently • Are capable in their chosen professional, vocational or study areas; * Students will be proficient in the statistical software package R. * Students will be well rounded competent graduates with adequate quantitative skills in areas such as exploratory data analysis, estimation and statistical inference, simulation, parametric modelling. * Students will have good communication and presentation skills developed using assignment work. • Are adaptable and manage change * Students will have a flexible approach to problem solving with an ability to listen and understand the advice and opinions of domain experts. These skills are honed through the use of real life problems and real data related to science and technology in lectures and assignments.
Describing and summarizing data Probability distributions and simulation R data types and syntax Classical hypothesis testing and confidence intervals R modeling syntax and object oriented programming The linear modeling framework: extensions of multiple regression Maximum likelihood estimation Bayesian estimation using Markov Chain Monte Carlo simulation
Verzani, J. Using R for Introductory Statistics. Chapman & Hall.
Zuur, A.F., Ieno, E. N. & Meesters E.H.W.G. (2009) A Beginner’s Guide to R. Springer. Dalgaard, P. (1988) Introductory Statistics with R. Springer. The Comprehensive R Archive Network (CRAN) http://cran.r-project.org/ The R Project for Statistical Computing http://www.r-project.org/
Zuur, A.F., Ieno, E. N. & Meesters E.H.W.G. (2009) A Beginner’s Guide to R. Springer.
Dalgaard, P. (1988) Introductory Statistics with R. Springer.
The Comprehensive R Archive Network (CRAN) http://cran.r-project.org/
The R Project for Statistical Computing http://www.r-project.org/