Applied Statistics and Probability for Engineers

506 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS Understand how two-level factorial designs can be run in blocks Desig ...

14-3 FACTORIAL EXPERIMENTS 507 Table 14-1 A Factorial Experiment with Two Factors Factor B FactorA Blow Bhigh Alow 10 20 Ahigh 3 ...

508 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS It is easy to estimate the interaction effect in factorial experiments ...

14-3 FACTORIAL EXPERIMENTS 509 0.5, 1.0, 1.5, 2.0, and 2.5 hours. The results of this series of runs are shown in Fig. 14-5. Thi ...

510 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS experimentation than a factorial, and as we have just seen, there is n ...

14-4 TWO-FACTOR FACTORIAL EXPERIMENTS 511 The observation in the ijth cell for the kth replicate is denoted by yijk. In performi ...

512 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS The hypotheses that we will test are as follows: H 0 :  1  2 a ...

14-4 TWO-FACTOR FACTORIAL EXPERIMENTS 513 interaction, and error: Assuming that factors Aand Bare fixed factors, it is not diffi ...

514 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS which has an F-distribution with (a1)(b1) and ab(n1) degrees of fre ...

14-4 TWO-FACTOR FACTORIAL EXPERIMENTS 515 A factorial experiment was performed to investigate the effect of paint primer type an ...

516 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS application method affect adhesion force. Furthermore, since 1.5 f0.0 ...

14-4 TWO-FACTOR FACTORIAL EXPERIMENTS 517 14-4.2 Model Adequacy Checking Just as in the single-factor experiments discussed in C ...

518 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS assumptions are made. One possible assumption is to assume the interac ...

14-4 TWO-FACTOR FACTORIAL EXPERIMENTS 519 14-1. In his book (Design and Analysis of Experiments, 5th edition, 2001 John Wiley &a ...

520 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS (a) Is there any indication that either factor affects the amount of w ...

14-5 GENERAL FACTORIAL EXPERIMENTS 521 For example, consider the three-factor-factorial experiment,with underlying model (14-10) ...

522 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS The F-ratios for all three main effects and the interactions are forme ...

14-7 2kFACTORIAL DESIGNS 523 14-11. The percentage of hardwood concentration in raw pulp, the freeness, and the cooking time of ...

524 CHAPTER 14 DESIGN OF EXPERIMENTS WITH SEVERAL FACTORS in research work and because they form the basis of other designs of c ...

14-7 2kFACTORIAL DESIGNS 525 Similarly, the main effect of Bis found by averaging the observations on the top of the square, whe ...