Synopsis of the Graduate Statistics Course 2007
Exploratory Data Analysis (EDA)
• What is it? • Skew and kurtosis: definitions and magnitude rules of thumb • Pictorial representations - in particular histograms, boxplots and stem and leaf displays • Effect of outliers • Power transformations • Rank transformations
Regression
• What is it? • Expressing correlations (simple regression) in vector form • Scatterplots • Assumptions in regression • Restriction of range of a correlation • Comparing pairs of correlations • Multiple regression • Least squares • Residual plots • Stepwise methods • Synergy • Collinearity
Between subjects analysis of variance
• What is it used for? • Main effects • Interactions • Simple effects • Plotting effects • Implementation in SPSS • Effect size • Model specification • Latin squares • Balance • Venn diagram depiction of sources of variation