Design and Analysis of Experiments, 9th Edition

CHAPTER 14Nested and Split‐Plot Designs

CHAPTER OUTLINE

1. 14.1 THE TWO-STAGE NESTED DESIGN
   1. 14.1.1 Statistical Analysis
   2. 14.1.2 Diagnostic Checking
   3. 14.1.3 Variance Components
   4. 14.1.4 Staggered Nested Designs
2. 14.2 THE GENERAL m-STAGE NESTED DESIGN
3. 14.3 DESIGNS WITH BOTH NESTED AND FACTORIAL FACTORS
4. 14.4 THE SPLIT-PLOT DESIGN
5. 14.5 OTHER VARIATIONS OF THE SPLIT-PLOT DESIGN
   1. 14.5.1 Split-Plot Designs with More Than Two Factors
   2. 14.5.2 The Split-Split-Plot Design
   3. 14.5.3 The Strip-Split-Plot Design
6. SUPPLEMENTAL MATERIAL FOR CHAPTER 14
7. S14.1 The Staggered, Nested Design
8. S14.2 Inadvertent Split-Plots

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

CHAPTER LEARNING OBJECTIVES

1. Know how to identify a nested factor.
2. Understand what can happen if an experimenter makes the common mistake of failing to properly identify and treat a nested factor in an experiment.
3. Know how to analyze a two-stage nested design.
4. Understand how a split-plot design handles easy-to-change and hard-to-change factors in an experiment.
5. Understand why there are two sources of variability in a split-plot experiment.
6. Know how to construct and analyze a split-plot design.

This chapter introduces two important types of experimental designs, the nested design and the split‐plot design. Both of these designs find reasonably widespread application in the industrial use of designed experiments. They also frequently involve one or more random factors, and so some of the concepts introduced ...