Applied Statistics and Probability for Engineers

Mean Weight (lbs) 502 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE Housing Air Temperat ...

13-4 RANDOMIZED COMPLETE BLOCK DESIGN 503 MIND-EXPANDING EXERCISES 13-40. Show that in the fixed-effects model analysis of varia ...

504 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE MIND-EXPANDING EXERCISES 100(1)% con ...

13-2.4 More About Multiple Comparisons As noted in the previous section, there are many ways to investigate the treatment means ...

indicate that treatment 4 (20% hardwood) produces paper with higher mean tensile strength than do the other treatments, and trea ...

and has a single degree of freedom. If the design is unbalanced, the comparison of treatment means requires that and Equation S1 ...

Notice that the contrast constants are orthogonal. Using the data from Table S13-1, we find the numerical values of the contrast ...

13-5 Table S13-2 Minitab Output Illustrating Tukey’s Method One-way ANOVA: Tensile Str versus Conc Analysis of Variance for Tens ...

13-2.7 Technical Details about the Analysis of Variance (CD Only) Derivation of the ANOVA Identity The proof of the fundamental ...

However, since the (^) ij’s are independent random variables with mean zero and variance ^2 , we find that Therefore As a resul ...

13-8 0.01 1.5 2 2.5 3 3.5 (for 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 φ α= 0.05) 2345 1.00 P ...

13-9 0.01 1 2 3 (for 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.10 0.20 0.30 0.40 0.50 0.60 φ α= 0.05) 1345 1.00 Probability of accept ...

13-10 0.01 1 2 3 (for 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.10 0.20 0.30 0.40 0.50 0.60 φ α= 0.05) 134 1.00 Probability of accept ...

13-11 13-3.3 Determining Sample Size in the Random Model (CD Only) The power of the test for the random-effects model is It can ...

13-12 10 .02 3 .03 .04 .05 .06 .07.08 .10 30 50 70 90 110 130 150 170 190 10 30 50 70 90 110 130 150 170 190 λ(forα= 0.05) λ(for ...

13-13 2 .02 .03 .04 .05 .06 .07 .08 .10 Probability of accepting the hypothesis .01 .20 .30 .40 .50 .60 .70 .80 1 345678 1234567 ...

13-14 2 .02 .03 .04 .05 .06 .07 .08 .10 Probability of accepting the hypothesis .01 .20 .30 .40 .50 .60 .70 .80 1 34567 123 4567 ...

13-15 2 .02 .03 .04 .05 .06 .07 .08 .10 Probability of accepting the hypothesis .01 .20 .30 .40 .50 .60 .70 .80 1 3456 123 4567 ...

13-16 In the randomized block design, replace nby b, the number of blocks. Since ^2 is usually un- known, we may either use a p ...

14-1 INTRODUCTION 14-2 SOME APPLICATIONS OF DESIGNED EXPERIMENTS (CD ONLY) 14-3 FACTORIAL EXPERIMENTS 14-4 TWO-FACTOR FACTORIAL ...