3470:663 Experimental Design, 3 Credits
Offered: Spring
Prerequisite: A Course in Applied Statistical Techniques

Overview: This course presents modern and classical statistical experimental design techniques along with applications in a variety of data analysis settings.

Topics Include:

1. One Factor Randomized Design
  • One Factor Model and Assumptions - Fixed and Random Effects
  • ANOVA Procedures - Sums of Squares Partition, Expected Mean Squares
  • Tests on Treatments - Contrasts, Multiple Comparisons
  • Sample Size and Power
  • Checking Model Assumptions

2. Randomized Block Designs
  • One Factor Block - Model, ANOVA procedures, Expected Mean Squares
  • Balanced Incomplete Block Designs
  • Latin Square Designs

3. Two Factors Crossed Designs
  • Models and Assumptions - Fixed Mixed and Random Effects
  • ANOVA Procedures - Sums of Squares Partition, Expected Mean Squares
  • Interaction Analysis - Profiles and Transformations

4. Higher Order Crossed Designs
  • Three Factor Designs - Testing Main Effects and Interaction
  • 2k Factorial Designs - ANOVA, Fixed, Random and Mixed Effects
  • Pooling Techniques
  • Fractional Factorial Designs - Confounding
  • Partial Confounding Schemes

5. Higher Order Nested Designs
  • Two Factor Nested Design - ANOVA, Fixed, Random and Mixed Effects
  • Hierarchal Nested Designs - Analysis of Various Models

6. Split Plot - Repeat Measures Designs
  • Models and Assumptions - Combinations of Main and Nested Factors
  • ANOVA Procedures - Expected Mean Squares

7. Analysis of Covariance

Suggested Text Effective Spring 2006: Design and Analysis of Experiments, Montgomery, 6th Ed., 2005, ISBN 0-471-48735-X