Introduction to Multivariate Analysis, including matrices and the different types of multivariate analysis. Given as a fouth year course at the School of Psychology, University of Queensland.
Filename: Jason Tangen PSYC4050 Lecture01.pdf [3900kb]
Introduction to multivariate statistics: linear composites in discriminant analysis, multiple regression, and factor analysis. Overview of multiple regression, including the importance of residuals and partitioning the variance. Given as a fourth year lecture at the School of Psychology, University of Queensland.
Filename: Jason Tangen PSYC4050 Lecture02.pdf [5702kb]
Multiple regression continued. R squared (overall relationships between predictors and criterion), the relationship between individual predictors and the criterion (correlations, standardised regression weights, semi-partial correlations, partial correlations, relative weights). Regression strategies (standard or simultaneous regression, sequential or hierarchical regression, stepwise regression, setwise regression, ridge regression).
Filename: Jason Tangen PSYC4050 Lecture03.pdf [4519kb]
Multiple regression continued. Measures of the importance of individual predictors revisited. Assumptions/limitations of multiple regression. Interpreting SPSS output for Multiple Regression. Calculating 95% Confidence Intervals for beta weights. The prediction equation. Regression diagnostics (general strategies, data checking, importance of residuals, independence, linearity, normality, outliers, homoscedasticity, multicollinearity, singularity). Factors affecting the correlation coefficient.
Filename: Jason Tangen PSYC4050 Lecture04.pdf [5971kb]
Multiple Regression continued. Sequential (hierarchical) regression with SPSS commands. ANOVA via Multiple Regression. Moderated Multiple Regression. Mediated vs moderated? Interactions in ANOVA & Multiple Regression.
Filename: Jason Tangen PSYC4050 Lecture05.pdf [2448kb]
Moderating versus mediating effects. Discriminant analysis. Eigenvalues. Canonical correlations.
Filename: Jason Tangen PSYC4050 Lecture06.pdf [5248kb]
Discriminant Analysis continued. Assumptions. SPSS commands. Interpreting discriminant analysis. Relative importance of variables - various measures. Group separation. Comparing multiple regression and discrimination analysis.
Filename: Jason Tangen PSYC4050 Lecture07.pdf [2679kb]
Discriminant Analysis
Filename: Jason Tangen PSYC4050 Lecture08.pdf [1613kb]
Principal Components analysis and Signal Detection Theory
Filename: Jason Tangen PSYC4050 Lecture09.pdf [10147kb]
Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture10.pdf [3448kb]
Common Factor Analysis and Factor Analysis via PCA
Filename: Jason Tangen PSYC4050 Lecture11.pdf [3556kb]
Common Factor Analysis and Structural Equation Modelling
Filename: Jason Tangen PSYC4050 Lecture12.pdf [1394kb]