GRA 6020 Multivariate Statistics Ulf H. Olsson Professor of Statistics

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

Ulf H. Olsson Univariate Normal Distribution

Ulf H. Olsson Bivariate normal distribution

Ulf H. Olsson Standard Normal density functions

Ulf H. Olsson Regression Analysis

Ulf H. Olsson Factor Analysis

Ulf H. Olsson Structure Equation Modeling

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

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

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