Estimating Models of Promotion Induced Non Compensatory Choice Behavior Using Up
Estimating Models of Promotion Induced Non Compensatory Choice Behavior Using Up
Peter S Fader
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's One final difference between the two models parameters should be noted. When the compensatory model suggests hierarchical preferences, it is often the case that the value of compensatory model's promotion sensitivity parameter cannot be uniquely identified. Consider, for example, panelist 10293 in Figure 6. This panelist is almost perfectly loyal to B, . She observes B- on promotion 4 times and opts to buy B on promotion one of those 4 times. [Figure 6 About HereJ The non-compensatory and co...mpensatory models fit this purchase history equally well, but Y and G differ. One can see why Y = 0. 25: B2 is promoted alone four times, but it is purchased only once. The non-compensatory model infers that this panelist restricts choice one-fourth of the time. B, ■ promotions have no effect, since promotions of brands B 4 and B„ do not overlap. The interpretation of is similar but less obvious. Consider the compensatory choice probability expression for brand B- when it is promoted alone: ;; — = -r~r^ = ProbCchoose B- I B- on promotion alone) = 0.
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