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Table 8.11

Table 8.11. Table 8.1. Table 8.2. Note: There are (# of Treatment Combinations)! number of possible ways to test these factors and levels (“Run Combinations”). Pick one randomly to do your testing. Don’t always test in a pre-described order. Table 8.3. Table 8.4. Figure 8.2. Eq. 1.

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Table 8.11

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  1. Table 8.11

  2. Table 8.1

  3. Table 8.2 Note: There are (# of Treatment Combinations)! number of possible ways to test these factors and levels (“Run Combinations”). Pick one randomly to do your testing. Don’t always test in a pre-described order.

  4. Table 8.3

  5. Table 8.4

  6. Figure 8.2

  7. Eq. 1 “A main effect” The “A main effect” is the average change in Y when factor A changes from low to high (- to +) A is the average change from the bottom to the top of the square.

  8. Eq. 2 “B main effect” The “B main effect” is the average change in Y when factor B changes from low to high (- to +) B is the average change from the left to the right side of the square.

  9. Eq. 3 AB is the difference in the average of the responses across both diagonals of the square. AB is a measure of the interaction between factors A and B.

  10. Table 8.5

  11. Figure 8.3

  12. Figure 8.4

  13. Figure 8.5

  14. Eq. 4 Eq. 5

  15. Table 8.6

  16. Table 8.7 Table 8.8

  17. kI = ((1)+b+a+ab)/4 Eq. 6a kA = (-(1)-b+a+ab)/4 Eq. 6b kB = (-(1)+b-a+ab)/4 Eq. 6c kAB = ((1)-b-a+ab)/4 Eq. 6d Y = kI+kAXA+ kBXB+ kABXAXB Eq. 7

  18. Example: RC Circuit

  19. Example: RC Circuit Example: RC Circuit

  20. Tables 8.7 and 8.8 Example: RC Circuit

  21. km = ((1)+b+a+ab)/4 Eq. 6a kA = (-(1)-b+a+ab)/4 Eq. 6b kB = (-(1)+b-a+ab)/4 Eq. 6c kAB = ((1)-b-a+ab)/4 Eq. 6d Y = km+kAXA+ kBXB+ kABXAXB Eq. 7 km = ((1)+b+a+ab)/4 = (350+420+360+440)/4 = 392.5 msec. kA = (-(1)-b+a+ab)/4 = (-350-420+360+440)/4 = 7.5 msec. kB = (-(1)+b-a+ab)/4 = (-350+420-360+440)/4 = 37.5 msec. kAB = ((1)-b-a+ab)/4 = (1570+30+150+10)/4 = 2.5 msec. t = 392.5 + 7.5XA+ 37.5XB+ 2.5XAXB msec.

  22. Figure 8.6

  23. Table 8.9 km = ((1)+b+a+ab)/12 Eq. 8a kA = (-(1)-b+a+ab)/12 Eq. 8b kB = (-(1)+b-a+ab)/12 Eq. 8c kAB = ((1)-b-a+ab)/12 Eq. 8d

  24. Table 8.10

  25. km = ((1)+c+b+bc+a+ac+ab+abc))/8m Eq. 9a kA = (-(1)-c-b-bc+a+ac+ab+abc))/8m Eq. 9b kB =(-(1)-c+b+bc-a-ac+ab+abc))/8m Eq. 9c kC =(-(1)+c-b+bc-a+ac-ab+abc))/8m Eq. 9d kAB =((1)+c-b-bc-a-ac+ab+abc))/8m Eq. 9e kAC =((1)-c+b-bc-a+ac-ab+abc))/8m Eq. 9f kBC =((1)-c-b+bc+a-ac-ab+abc))/8m Eq. 9g kABC = (-(1)+c+b-bc+a-ac-ab+abc))/8m Eq. 9h Y = km+ kAXA+ kBXB+ kCXC+ kABXAXB + kACXAXC+ kBCXBXC+kABCXAXBXCEq. 10

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