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 |