Applied Statistics and Probability for Engineers

526 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS combination for a particular contrast. The column headings for Table 1 ...

14-7 2kFACTORIAL DESIGNS 527 The numerical estimates of the effects indicate that the effect of deposition time is large and has ...

528 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS since the only active variable is deposition time, which is represente ...

14-7 2kFACTORIAL DESIGNS 529 –0.392 1 8 10 30 20 60 70 80 90 95 –0.294 –0.197 –0.099 Residual –0.001 0.096 0.194 99 Normal proba ...

530 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS for each of the three factors. This table is sometimes called the desi ...

14-7 2kFACTORIAL DESIGNS 531 subtracting from this quantity the average of the four treatment combinations on the left-hand side ...

532 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Since the ABinteraction is one-half of this difference, We could write ...

14-7 2kFACTORIAL DESIGNS 533 main effect row by row. For example, the signs in the ABcolumn are the products of the A and Bcolum ...

534 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS EXAMPLE 14-4 Consider the surface roughness experiment originally desc ...

14-7 2kFACTORIAL DESIGNS 535 t-statistic is reported for each effect instead of the F-statistic used in Table 14-17. Now the squ ...

536 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS feed, depth, and angle, each having a single degree of freedom, giving ...

14-7 2kFACTORIAL DESIGNS 537 Projection of 2kDesigns Any 2kdesign will collapse or project into another 2kdesign in fewer variab ...

538 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS EXAMPLE 14-5 An article in Solid State Technology(“Orthogonal Design f ...

14-7 2kFACTORIAL DESIGNS 539 Thus, the effect of increasing the gap between the anode and the cathode from 0.80 to 1.20 centimet ...

540 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS 141.1 1 6 10 30 20 60 70 80 90 96 64.5 12.1 88.8 165.4 242.0 318.6 ...

14-7 2kFACTORIAL DESIGNS 541 72.50 1 8 10 30 20 60 70 80 90 96 49.33 –26.17 –3.00 20.17 43.33 66.50 99 Normal probability Re ...

542 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS 14-15. Consider the experiment in Exercise 14-14. Determine an appropr ...

14-8 BLOCKING AND CONFOUNDING IN THE 2kDESIGN 543 (b) Conduct an analysis of variance to confirm your findings for part (a). (c) ...

544 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS This design is shown in Fig. 14-24. Notice that block 1 contains the t ...

14-8 BLOCKING AND CONFOUNDING IN THE 2kDESIGN 545 There is a more general method of constructing the blocks. The method employs ...