Multivariate Data Analysis Session 0: Course outline Carlos Óscar Sánchez Sorzano, Ph.D. Madrid Motivation for this course 2 Motivation for this course 3 Course outline 4 Course outline: Session 1 1. Introduction 1.1. Types of variables 1.2. Types of analysis and technique selection 1.3. Descriptors (mean, covariance matrix) 1.4. Variability and distance 1.5. Linear dependence 2. Data Examination 2.1. Graphical examination 2.2. Missing Data 2.3. Outliers 2.4. Assumptions of multivariate analysis 5 Course outline: Session 2 3. Principal component analysis (PCA) 3.1. Introduction 3.2. Component computation 3.3. Example 3.4. Properties 3.5. Extensions 3.6. Relationship to SVD 4. Factor Analysis (FA) 4.1. Introduction 4.2. Factor computation 4.3. Example 4.4. Extensions 4.5. Rules of thumb 4.6. Comparison with PCA 6 Course outline: Session 3 5. Multidimensional Scaling (MDS) 5.1. Introduction 5.2. Metric scaling 5.3. Example 5.4. Nonmetric scaling 5.5. Extensions 6. Correspondence analysis 6.1. Introduction 6.2. Projection search 6.3. Example 6.4. Extensions 7. Tensor analysis 7.1 Introduction 7.2 Parafac/Candecomp 7.3 Example 7.4 Extensions 7 Course outline: Session 4 8. Multivariate Analysis of Variance (MANOVA) 8.1. Introduction 8.2. Computations (1-way) 8.3. Computations (2-way) 8.4. Post-hoc tests 8.5. Example 9. Canonical Correlation Analysis (CCA) 9.1. Introduction 9.2. Construction of the canonical variables 9.3. Example 9.4. Extensions 10. Latent Class Analysis (LCA) 10.1. Introduction 8 Course Outline Theory Theory Theory Theory Practice Theory Theory Theory Theory Practice Theory Practice Practice Practice Practice 9 Suggested readings: Overviews It is suggested to read (before coming): • H. Abdi. Multivariate Analysis. In: Lewis-Beck M., Bryman, A., Futing T. (Eds.) (2003). Encyclopedia of Social Sciences Research Methods. Thousand Oaks (CA): Sage. • S. Sanogo and X.B. Yang. Overview of Selected Multivariate Statistical Methods and Their Use in Phytopathological Research. Phytopathology, 94: 1004-1006 (2004) 10