Logical Decisions - Classweb

Logical Decisions - Classweb Logical Decisions - Classweb

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percent show destructive interaction, while Ps greater than 50 percent show constructive interaction. Since alternative B is preferred when P is equal to 50 percent you must make alternative B less desirable. You do this by reducing P, so that the probability of getting the least preferred level on both measures is increased. Since your P will be less than 50 percent, your answer will show destructive interaction between the Power and Fuel Economy measures. To find a particular level for P you can try different probabilities until you zero in on one that makes alternatives A and B seem equally desirable. If you try P = 5 percent, you choose alternative A because the chance of getting your preferred option in alternative B is too remote. You might feel the same way even if P = 30 percent. At 40 percent, alternative B still seems preferable to alternative A. If this is the case, then you might select P = 35 percent as the level of P that makes it most difficult to choose between alternatives A and B. 7. Answer the probability question by replacing the default of 50 percent with 35 percent. 8. Click “Equal.” LDW will use this answer when computing the MUF for the Performance goal. LDW computes the utility of the Performance goal using the multiplicative MUF formula described on page 9-55. You can see the new scaling constants for performance by selecting the Review::Weights::Scaling Constants option. In the table, you will see that the big K for performance is 2.45 and that the scaling constants for the two members are both 0.35. Since the scaling constant big K is greater than zero, destructive interaction is indicated. This is also shown by the fact that the individual weights (small ks) for the members of the Performance goal (the Power and Fuel Economy measures) do not sum to one as they do for the members of the Best Truck goal, which has neutral interaction. If we now use the Results::Rank Alternatives option to see the ranking of the alternatives on the "Buy the Best Truck" goal, we 5-18 Section 5 -- Advanced Tutorial

see that the rankings for all the alternatives have gone down slightly. The "Coyote's" ranking goes from 0.681 to 0.647, the "Mountain Lion's" ranking goes from 0.592 to 0.562, and the "Wolf's" ranking goes from 0.376 to 0.310. Thus the addition of interactions seems to have had a somewhat larger negative effect on the "Wolf" alternative than on the others. This ends the Advanced Tutorial. Section 5 -- Advanced Tutorial 5-19

see that the rankings for all the alternatives have gone down<br />

slightly.<br />

The "Coyote's" ranking goes from 0.681 to 0.647, the "Mountain<br />

Lion's" ranking goes from 0.592 to 0.562, and the "Wolf's" ranking<br />

goes from 0.376 to 0.310. Thus the addition of interactions seems<br />

to have had a somewhat larger negative effect on the "Wolf"<br />

alternative than on the others.<br />

This ends the Advanced Tutorial.<br />

Section 5 -- Advanced Tutorial 5-19

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