14-1 INTRODUCTION

14-2 SOME APPLICATIONS OF

DESIGNED EXPERIMENTS

(CD ONLY)

14-3 FACTORIAL EXPERIMENTS

14-4 TWO-FACTOR FACTORIAL

EXPERIMENTS

14-4.1 Statistical Analysis of the

Fixed-Effects Model

14-4.2 Model Adequacy Checking

14-4.3 One Observation per Cell

14-4.4 Factorial Experiments with

Random Factors: Overview

14-5 GENERAL FACTORIAL

EXPERIMENTS

14-6 FACTORIAL EXPERIMENTS WITH

RANDOM FACTORS (CD ONLY)

14-7 2kFACTORIAL DESIGNS

14-7.1 2^2 Design

14-7.2 2kDesign for k3 Factors

14-7.3 Single Replicate of the 2k

Design

14-7.4 Addition of Center Points to a

2 kDesign (CD Only)

14-8 BLOCKING AND CONFOUNDING

IN THE 2kDESIGN

14-9 FRACTIONAL REPLICATION

OF THE 2kDESIGN

14-9.1 One-Half Fraction of the 2k

Design

14-9.2 Smaller Fractions: The 2kp

Fractional Factorial

14-10 RESPONSE SURFACE METHODS

AND DESIGNS (CD ONLY)

505

14

CHAPTER OUTLINE

LEARNING OBJECTIVES

After careful study of this chapter, you should be able to do the following:

1. Design and conduct engineering experiments involving several factors using the factorial
   design approach


2. Know how to analyze and interpret main effects and interactions


3. Understand how the ANOVA is used to analyze the data from these experiments


4. Assess model adequacy with residual plots


5. Know how to use the two-level series of factorial designs

Design of Experiments

with Several Factors

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