Stat 525: Intermediate Statistical Methodology (Banner Course Number: 52500)

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Fall 2009 textbook is:

For Zhang, Dabao -- Kutner, Nachstein, Neter & Li, Applied Linear Statistical Models, 5th Edition, Required


Spring 2010 textbook will be:

For Zhang, Dabao -- Kutner, Nachstein, Neter & Li, Applied Linear Statistical Models, 5th Edition, Required

Outline:

  1. Introduction
    1. Review of statistical inference
    2. Review of simple linear regression
    3. SAS


  2. Multiple Regression Models
    1. Models, including polynomial regression and ANOVA using indicator variables
    2. Full vs. Reduced model tests, other inference
    3. Diagnostics: residual plots, including normal probability plots; detecting influential observations
    4. Model building: methods and criteria (best subsets, stepwise, Cp, etc.); transformations (including the Box-Cox family); comments and warnings


  3. Anova For Completely Randomized Designs
    1. Basics of experimental design
    2. One-way ANOVA: classical vs. regression models, basic inference including contrasts, the multiple comparisons problem, random effects
    3. Two-way ANOVA: models and the meaning of interaction, inference, consequences of unbalanced data, analysis of covariance
    4. Diagnostics: consequences of failure of assumption, diagnostic methods, transformations


  4. Categorical Data Analysis
    1. Contingency tables
    2. Hierarchical loglinear models: sampling models, structural models, maximum likelihood estimation, full vs. reduced model tests, model building, diagnostics
    3. Logistic regression models