Applied Statistics and Probability for Engineers

546 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS we know that the treatment combination bis in the other block. Thus, e ...

14-8 BLOCKING AND CONFOUNDING IN THE 2kDESIGN 547 It is possible to confound the 2kdesign in four blocks of 2k^2 observations e ...

548 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS EXERCISES FOR SECTION 14-8 14-23. Consider the data from the first rep ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 549 14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN As the number of factors in a 2kfact ...

550 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Furthermore, the identity element Iis also plus for the four runs, so ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 551 since and. The aliases of Band Care and Now suppose that we had chosen the other ...

552 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS For all three pairs of effect estimates, we would obtain the following ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 553 In this design, the main effects are aliased with the three-factor interactions; ...

554 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Computer Solution Fractional factorial designs are usually analyzed wi ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 555 Design Resolution The concept of design resolution is a useful way to catalog fr ...

556 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS To illustrate the 14 fraction, consider an experiment with six factor ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 557 pressure (F)—each at two levels, with the objective of learning how each factor ...

558 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS insensitive to temperature if the screw speed is at the low level but ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 559 that the variability in the shrinkage of parts may be smaller when the holding t ...

560 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Table 14-29 Selected 2kpFractional Factorial Designs Number of Number ...

14-9 FRACTIONAL REPLICATION OF THE 2kDESIGN 561 EXAMPLE 14-9 To illustrate the use of Table 14-29, suppose that we have seven fa ...

562 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Table 14-31 A2IV^7 ^3 Fractional Factorial Design Basic Design Run AB ...

14-10 RESPONSE SURFACE METHODS AND DESIGNS (CD ONLY) 563 This 2III^7 ^4 design is called a saturated fractional factorial,becau ...

564 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS 14-34. Consider the 2^6 ^2 design in Table 14-28. Suppose that after ...

14-10 RESPONSE SURFACE METHODS AND DESIGNS (CD) 565 (a) Test for differences between salts, application levels, and interactions ...