Knowledge of statistical packages will be extended and students will be given instruction and practice in the discipline of writing statistical reports. A variety of statistical methods will be used, including regression, analysis of variance, diagnostic methodologies and non-parametric techniques. This is a unit in statistical methods for the analysis of data in which attention is given to the theoretical structure underlying the techniques. Topics covered include inferences about one and two sample problems by normal theory and non-parametric methods, analysis of variance, multiple comparisons, and regression. This unit is a mathematically based introduction to probability theory.
Emphasis is placed on the theoretical development of the subject matter.
Students should be mathematically competent, especially in the areas of integration, differentiation, and the summation of infinite series. Students who are not confident about their ability in these areas should consider enrolling in the more general unit, Risk and Chance. Topics covered include conditional probability, discrete and continuous random variables, transformations, convolutions, moments and moment generating functions, central limit theorem, sampling distributions, maximum likelihood estimation, bivariate and multivariate distributions. This unit consolidates and expands upon the material on probability introduced in 100-level statistics units. The emphasis is on the understanding of probability concepts and their application.