Design and Analysis of Experiments, 9th Edition

CHAPTER 2Simple Comparative Experiments

CHAPTER OUTLINE

1. 2.1 INTRODUCTION
2. 2.2 BASIC STATISTICAL CONCEPTS
3. 2.3 SAMPLING AND SAMPLING DISTRIBUTIONS
4. 2.4 INFERENCES ABOUT THE DIFFERENCES IN MEANS, RANDOMIZED DESIGNS
   1. 2.4.1 Hypothesis Testing
   2. 2.4.2 Confidence Intervals
   3. 2.4.3 Choice of Sample Size
   4. 2.4.4 The Case Where ${\sigma }_1^2\ne {\sigma }_2^2$
   5. 2.4.5 The Case Where ${\sigma }_1^2$ and ${\sigma }_2^2$ Are Known
   6. 2.4.6 Comparing a Single Mean to a Specified Value
   7. 2.4.7 Summary
5. 2.5 INFERENCES ABOUT THE DIFFERENCES IN MEANS, PAIRED COMPARISON DESIGNS
   1. 2.5.1 The Paired Comparison Problem
   2. 2.5.2 Advantages of the Paired Comparison Design
6. 2.6 INFERENCES ABOUT THE VARIANCES OF NORMAL DISTRIBUTIONS

SUPPLEMENTAL MATERIAL FOR CHAPTER 2

1. S2.1 Models for the Data and the t-Test
2. S2.2 Estimating the Model Parameters
3. S2.3 A Regression Model Approach to the t-Test
4. S2.4 Constructing Normal Probability Plots
5. S2.5 More about Checking Assumptions in the t-Test
6. S2.6 Some More Information about the Paired t-Test

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

CHAPTER LEARNING OBJECTIVES

1. Know the importance of obtaining a random sample.
2. Be familiar with the standard sampling distributions: normal, t, chi-square, and F.
3. Know how to interpret the P-value for a statistical test.
4. Know how to use the Z test and t-test to compare means.
5. Know how to construct and interpret confidence intervals involving means.
6. Know how the paired t-test incorporates the blocking principle.

In this chapter, we consider experiments ...