Applied Statistics and Probability for Engineers

482 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE This suggests that time or run order i ...

13-2 THE COMPLETELY RANDOMIZED SINGLE-FACTOR EXPERIMENT 483 type II error () for various sample sizes against a measure of the ...

484 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE Figure 13-6 Two Operating characterist ...

conclude that n4 replicates is not sufficient. Proceeding in a similar manner, we can con- struct the following table: n ^2  ...

486 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE 13-5. An electronics engineer is inter ...

Preparation Method Transition Temperature Tc(K) 1 14.8 14.8 14.7 14.8 14.9 2 14.6 15.0 14.9 14.8 14.7 3 12.7 11.6 12.4 12.7 12. ...

488 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE interpretation. If the variance of the ...

is an Frandom variable with a1 and a(n1) degrees of freedom when H 0 is true. The null hypothesis would be rejected at the -le ...

490 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE Therefore, the variance of strength in ...

(a) Is there a difference in the wafer positions? Use 0.05. (b) Estimate the variability due to wafer positions. (c) Estimate ...

homogeneous conditions. Alternatively, we can view the paired t-test as a method for re- ducing the background noise in the expe ...

where is an overall mean, iis the effect of the ith treatment, jis the effect of the jth block, and ijis the random error te ...

For the randomized block design, the relevant mean squares are The expected values of these mean squares can be shown to be as f ...

The computations are usually arranged in an ANOVA table, such as is shown in Table 13-11. Generally, a computer software package ...

The ANOVA is summarized in Table 13-13. Since f 0 75.13 f0.01,3,125.95 (the P-value is 4.79 10 ^8 ), we conclude that there ...

F-ratio for blocks may not provide reliable information about block effects. For more discus- sion see Montgomery (2001, Chapter ...

498 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE Figure 13-9 presents the results graph ...

13-4 RANDOMIZED COMPLETE BLOCK DESIGN 499 13-25. In “The Effect of Nozzle Design on the Stability and Performance of Turbulent W ...

500 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE Type of Specimen Tip 1 2 3 4 1 9.3 9.4 ...

Method Score 1 24.4 23.2 25.0 19.7 22.2 24.4 23.8 18.0 2 22.1 19.5 17.3 19.7 22.3 23.2 21.4 22.6 3 23.3 22.8 22.4 23.7 20.4 23.5 ...