Met 2212 Multivariate Statistics

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Presentation transcript:

Met 2212 Multivariate Statistics Ulf H. Olsson Professor of Statistics

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

Bivariate normal distribution 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) Ulf H. Olsson

STATISTICAL SYMBOLS - NOTATION Ulf H. Olsson

STATISTICAL SYMBOLS - NOTATION Ulf H. Olsson

STATISTICAL SYMBOLS - NOTATION Ulf H. Olsson

STATISTICAL SYMBOLS - NOTATION Ulf H. Olsson

True Process Empirical Domain Theoretical Domain Ulf H. Olsson