Course information

Review of regression and analysis of variance. Multiple comparisons. Fixed and random effects models. Tests for homogeneity of variances. Nonparametric one-way ANOVA. Two-way ANOVA with and without interaction; random and mixed models. Orthogonal contrasts. ANOVA with 3 or more factors; random and mixed effects models. Graeco–Latin square designs. Balanced incomplete block (BIB) designs and their statistical analysis. Recovery of interblock information in BIB designs. Partially BIB designs and their statistical analysis. Youden squares. Lattice designs. 2k factorial designs. Design projection. The addition of centre points to the 2k design. Yates’ algorithm for the 2k design. Confounding in the 2k factorial design. Partial confounding. Two level fractional factorial designs. The notion of resolution. 3k factorial designs. Confounding in the 3k factorial design. Factorial designs with mixed levels. Response curve methodology. Nested and split-plot designs. Applications using statistical packages.