copyright © 2010 pearson addison-wesley. all rights reserved. chapter 13 one-factor experiments:...

Chapter 13

One-Factor Experiments: General

Section 13.1

Analysis-of-Variance Technique

Table 13.1 Absorption of Moisture in Concrete Aggregates

Section 13.2

The Strategy of Experimental Design

Section 13.3

One-Way Analysis of Variance: Completely Randomized Design (One-Way ANOVA)

Table 13.2 k Random Samples

Theorem 13.1

Theorem 13.2

Table 13.3 Analysis of Variance for the One-Way ANOVA

Figure 13.1 SAS output for the analysis-of-variance procedure

Figure 13.2 Box-plots for the absorption of moisture in concrete aggregates

Table 13.4 Serum Alkaline Phosphatase Activity Level

Figure 13.3 MINITAB analysis of data in Table 13.4

Section 13.4

Tests for the Equality of Several Variances

Section 13.5

Single-Degree-of Freedom Comparisons

Definition 13.1

Definition 13.2

Table 13.5 Analysis of Variance Using Orthogonal Contrasts

Section 13.6

Multiple Comparisons

Figure 13.4 A set of orthogonal contrasts

Table 13.6 Yield of Reaction

Figure 13.5 SAS printout for Exercise 13.21

Section 13.7

Comparing a Set of Treatments in Blocks

Section 13.8

Randomized Complete Block Designs

Table 13.7 k b Array for the RCB Design

Theorem 13.3

Table 13.8 Analysis of Variance for the Randomized Complete Block Design

Table 13.9 Time, in Seconds, to Assemble Product

Table 13.10 Analysis of Variances for the Data of Table 13.9

Figure 13.6 Population means for (a) additive results and (b) interacting effects

Section 13.9

Graphical Methods and Model Checking

Figure 13.7 Plot of data around the mean for the aggregate data of Table 13.1

Figure 13.8 Plot of residuals for five aggregates, using data in Table 13.1

Figure 13.9 Residual plot for the four machines for the data of Example 13.6

Figure 13.10 Residual plot for the six operators for the data of Example 13.6

Figure 13.11 Residuals plotted against fitted values for the data of Example 13.6

Section 13.10

Data Transformations in Analysis of Variance

Section 13.11

Random Effects

Models

Theorem 13.4

Table 13.11 Expected Mean Squares for the One-Factor Experiment

Table 13.12 Data for Example 13.7

Table 13.13 Analysis of Variance for Example 13.7

Table 13.14 Expected Mean Squares for the Randomized Complete Block Design

Section 13.12

Case Study

Figure 13.12 Interaction plot for data of Case Study 13.1

Figure 13.13 Plot of residuals against method for data of Case Study 13.1

Figure 13.14 Normal probability plot of residuals for data the of Case Study 13.1

Figure 13.15 SAS printout for data of Case Study 13.1

continued on next slide

Figure 13.15 SAS printout for data of Case Study 13.1 (cont’d)

Figure 13.16 SAS printout for Review Exercise 13.49

Figure 13.17 SAS printout for Review Exercise 13.50

Potential Misconceptions and Hazards; Relationship to Material in Other Chapters

Section 13.13

copyright © 2010 pearson addison-wesley. all rights reserved. chapter 13 one-factor experiments:...

pearson addisonwesley

plot of data

data of example

aggregate data of table

data of case study

minitab analysis of

data transformations

oneway analysis of variance

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