lecture 7 summary Flashcards
sales response
is the rate at which sales change because of changes in business activities
A model
is a generally simplified mathematical representation of real world relations
sales response models
try to model a sales response as a function of business activities
To further investigate consumer responses to the organisation, we need sales data. There are different sources of sales data as follows:
internal data: data comes from the company itself
household scanner data: data coming from retail upc scanners or from the compan itself
Annual reports: data coming from annual reports of companies
We recognize the following types of sales response models
Constant marginal returns: linear model
Decreasing marginal returns: multiplicative model and semi logarithmic model
Saturation volume: modified exponential model
s-shaped: log reciprocal model and logistic model
Market share models: multiplicative interaction model (MCI) and multinomial logit model (MDL)
the multiplicative and semi logarithmic models take the following form. T
these are the most common non-linear models. With a multiplicative model it is possible to model diminishing returns to scale. This means that, if x is advertising and Q is sales, diminishing returns to scale indicate that the managerial gains become marginally smaller for every additional unit Q
The modified exponential model and log reciprocal model and the logistic model are show. The modified exponential model is a more sophisticated model. The modified exponential model differs from the previous ones because here we have a saturation elvel. it should be clear no matter how high the advertising budget there is a certain upper bound for sales
The logistic model has
an upper bound and the values range between 0 and 1. We want to use a logistic model if the DV is binary. So if we want to determine the likelihood that somebody buys a product we would use a logistic model
The final models include the MCI model and the MNL model.
Te market share models do not look at the quantity of sales. or at binary variables, but they look at market share. They are models for understanding how business or marketing efforts impact you as a company in a competitive marketplace. The market share could be measured in sales, but is relative to my competitors
dynamic response model plus formula
dynamic response model is defined with the following formula
Qt = b0 +b1X1 + aQt-1
Where Qt = sales depend on time
X1 = current effects
Qt-1 = carry over effect