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GRA 6020 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
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GRA 6020Multivariate 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
Statistical Models • Statistical models are mathematical representations of population behavior; they describe salient features of the hypothesized process of interest among individuals in the target population. When you use a particular statistical model to analyze a particular set of data, you implicitly declare that this population model gave rise to these sample data. Ulf H. Olsson
Making Sense True Process Empirical Domain Theoretical Domain Ulf H. Olsson
Branch Loan Satisfaction Loyalty Savings Relationships (Stochastic) Ulf H. Olsson
Univariate Normal Distribution Ulf H. Olsson
Bivariate normal distribution Ulf H. Olsson
Standard Normal density functions Ulf H. Olsson
Regression Analysis/OLS-Regression 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