University of Wollongong - STAT101: Introduction to Statistics

This subject, Introduction to Statistics (STAT101) - is an introductory statistics subject that provides the practical and theoretical foundation for more advanced statistics subjects which rely on this theory. Topics covered include displaying variation and summarising univariate data, displaying and analysing bivariate data including association, correlation and simple regression, introducing probability theory including  Bayes' rule, law of total probability, introducing random variables, discrete random variables (including binomial and geometric) and continuous random variables (including uniform and Normal); sampling distributions, point and interval estimation including method of moments, maximum likelihood estimation, bias of point estimates, and an introduction to hypothesis testing. These topics will be taught with appropriate statistical computing software and communication in both written and oral forms will be developed.

✔ On successful completion of this subject, you will be able to: 

• understand and produce with appropriate statistical software numerical and graphical data summaries and critically use them as exploratory tools with univariate data;
• understand and produce with appropriate statistical software numerical and graphical data summaries and critically use them as exploratory tools with bivariate data;
• understand the basics of probability theory, including Bayes' rule and the law of total probability;
• understand and use probabilistic concepts and graphical tools to form and examine statistical models, especially the Binomial, Geometric, Uniform, and Normal Distributions; and,
• understand the relationship between samples and populations and the principles of statistical inference: method of moments, maximum likelihood estimation, Bayes' rule, point and interval estimation of population parameters, hypothesis testing.