Parameter Functions — Dynamic Effects

The coefficients of the marketing mix variables in the response models we have discussed so far are assumed to be constant for the analysis period. It is a tenuous assumption considering that many of the dynamic effects imply that these parameters do vary. Parameter functions may be crafted to capture the impact of a variety of these effects, including:

  • The magnitude, frequency and recency of prior marketing activities.
  • Wear-in and wear-out of advertising.
  • Quality of the creative material in advertising.
  • Media effects (i.e., differences in ad response due to the choice of TV programme, or section of newspaper).

For instance, consider quality of advertising. We know that effectiveness of advertising is dependent greatly on the creative material. One approach to capturing this effect is by means of a variable that captures both quantity and quality, the Adfactor for instance. We could also capture the ad quality effect by means of a process function for the advertising coefficient, i.e., βadvt=f(ad campaign).

Similarly, the price-promotion elasticity (discount elasticity) of products can change due to the magnitude and frequency of previous discounts. If heavy promotions are repeated too frequently, their impact begins to fade. Frequent, attractive promotions also tend to induce an opportunistic behaviour — consumers lie in wait for the deals, resulting in the lowering of the base line. The parameters for price discount, promotion (e.g., display, co-op advertising) and baseline (i.e., store intercept) are therefore a function of historical levels of promotions.

One approach to capturing the dynamic nature of the market is by means of multistage models where the coefficients of the mix variables estimated at the first stage become the dependent variable in the next stage. In the second stage, where the coefficients of the mix variables are treated as the dependent variables, the independent variables are the characteristics that influence the coefficient.


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