24 credits at NQF level 6
At least 45% for STA2020F/S or STA2007F/S/H or STA2005S.
This course introduces students to Statistical Theory and Inference. It explores aspects of probability theory that are particularly relevant to statistics, including the notions of random variables, joint probability distributions, expected values and moment generating functions. The course content includes univariate distributions and moments of univariate distributions, moments of bivariate distributions, distributions of sample statistics. It covers bias and efficiency of estimators. Students are introduced to the use of computer simulation and data re-sampling techniques (bootstrap) to investigate the following problems: one and two sample tests of means and variances, one and two way analysis of variances, moments and other properties of distributions, theory of distributions derived from the normal distribution.