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GRA 6020 Multivariate Statistics

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 6020 Multivariate Statistics

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

  2. 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

  3. 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

  4. Making Sense True Process Empirical Domain Theoretical Domain Ulf H. Olsson

  5. Branch Loan Satisfaction Loyalty Savings Relationships (Stochastic) Ulf H. Olsson

  6. Univariate Normal Distribution Ulf H. Olsson

  7. Bivariate normal distribution Ulf H. Olsson

  8. Standard Normal density functions Ulf H. Olsson

  9. Regression Analysis/OLS-Regression Ulf H. Olsson

  10. Factor Analysis Ulf H. Olsson

  11. Structure Equation Modeling Ulf H. Olsson

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

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

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

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