Chapter 12 The Analysis of Variance for Designed Experiments Copyright © 2012 Pearson Education, Inc All rights reserved Section 12.1 Introduction Copyright © 2012 Pearson Education, Inc All rights reserved Section 12.2 The Logic Behind an Analysis of Variance Copyright © 2012 Pearson Education, Inc All rights reserved Figure 12.1 Plots of data for two samples Copyright © 2012 Pearson Education, Inc 11- Figure 12.2 Plots of data for two cases Copyright © 2012 Pearson Education, Inc 11- Section 12.3 One-Factor Completely Randomized Designs Copyright © 2012 Pearson Education, Inc All rights reserved Figure 12.3 MINITAB Random assignments of workers to training programs Copyright © 2012 Pearson Education, Inc 11- Figure 12.4 Layout for a completely randomized design Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Section 12.8 Other Multiple Comparisons Methods (Optional) Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- ´ Figure 12.27 SAS printout of Scheffe’s multiple comparisons of GPA means, Example 12.22 Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Figure 12.28 SAS printout of Bonferroni’s multiple comparisons of GPA means, Example 12.23 Copyright © 2012 Pearson Education, Inc 11- Section 12.9 Checking ANOVA Assumptions Copyright © 2012 Pearson Education, Inc All rights reserved Copyright © 2012 Pearson Education, Inc 11- Copyright © 2012 Pearson Education, Inc 11- Figure 12.29 MINITAB histogram for all the GPAs in the completely randomized design Copyright © 2012 Pearson Education, Inc 11- Figure 12.30 MINITAB normal probability plot and normality test for all the GPAs in the completely randomized design Copyright © 2012 Pearson Education, Inc 11- Figure 12.31 MINITAB dot plots for the GPAs in the completely randomized design, by treatment group Copyright © 2012 Pearson Education, Inc 11- Figure 12.32 MINITAB printout of tests for homogeneity of GPA variances for the completely randomized design Copyright © 2012 Pearson Education, Inc 11- ... 2012 Pearson Education, Inc All rights reserved Figure 12.3 MINITAB Random assignments of workers to training programs Copyright © 2012 Pearson Education, Inc 11- Figure 12.4 Layout for a completely...Section 12.1 Introduction Copyright © 2012 Pearson Education, Inc All rights reserved Section 12.2 The Logic Behind an Analysis of Variance Copyright © 2012 Pearson Education, Inc All rights reserved... Education, Inc 11- Figure 12.7 Partitioning of SS(Total) for a completely randomized design Copyright © 2012 Pearson Education, Inc 11- Figure 12.8 MINITAB ANOVA printout for the completely randomized