1. GRA 6020 Multivariate Statistics Ulf H. Olsson Professor of Statistics

2. Ulf H. Olsson Multivariate Statistics 1) Examining relationships with respect to a single variable Univariate Analysis Univariate Distributions 2) Examining relationships with respect to two or more variables simultaneously Multivariate Analysis Multivariate Distributions

3. Ulf H. Olsson Univariate Normal Distribution

4. Ulf H. Olsson Bivariate normal distribution

5. Ulf H. Olsson Standard Normal density functions

6. Ulf H. Olsson Regression Analysis

7. Ulf H. Olsson Factor Analysis

8. Ulf H. Olsson Structure Equation Modeling

9. Ulf H. Olsson Regression Models All variables, both ys and xs, are directly observed

10. Ulf H. Olsson Factor Models Observed variables are ”linked” to latent variables (factors)

11. Ulf H. Olsson Structural Equation Models Regression models where all variables are latent (factors)