Design and Analysis of Experiments, 9th Edition

CHAPTER 5Introduction to Factorial Designs

CHAPTER OUTLINE

1. 5.1 BASIC DEFINITIONS AND PRINCIPLES
2. 5.2 THE ADVANTAGE OF FACTORIALS
3. 5.3 THE TWO-FACTOR FACTORIAL DESIGN
   1. 5.3.1 An Example
   2. 5.3.2 Statistical Analysis of the Fixed Effects Model
   3. 5.3.3 Model Adequacy Checking
   4. 5.3.4 Estimating the Model Parameters
   5. 5.3.5 Choice of Sample Size
   6. 5.3.6 The Assumption of No Interaction in a Two-Factor Model
   7. 5.3.7 One Observation per Cell
4. 5.4 THE GENERAL FACTORIAL DESIGN
5. 5.5 FITTING RESPONSE CURVES AND SURFACES
6. 5.6 BLOCKING IN A FACTORIAL DESIGN

SUPPLEMENTAL MATERIAL FOR CHAPTER 5

1. S5.1 Expected Mean Squares in the Two-Factor Factorial
2. S5.2 The Definition of Interaction
3. S5.3 Estimable Functions in the Two-Factor Factorial Model
4. S5.4 Regression Model Formulation of the Two-Factor Factorial
5. S5.5 Model Hierarchy

The supplemental material is on the textbook website www.wiley.com/college/montgomery.

CHAPTER LEARNING OBJECTIVES

1. Learn the definitions of main effects and interactions.
2. Learn about two-factor factorial experiments.
3. Learn how the analysis of variance can be extended to factorial experiments.
4. Know how to check model assumptions in a factorial experiment.
5. Understand how sample size decisions can be evaluated for factorial experiments.
6. Know how factorial experiments can be used for more than two factors.
7. Know how the blocking principle can be extended to factorial experiments.
8. Know how to analyze factorial experiments by fitting response curves and surfaces.

5.1 Basic Definitions ...