Your measurement team reports a high advertising sales elasticity, the percentage change in sales for each 1% change in advertising. A media plan depends on it. Do you approve the plan, or first ask how the model handled carryover (the effect that keeps working after spending stops) and other sales controls?
Estimates of how much advertising moves sales vary with how the model is built.
Data chart
Extra percent change in same-period sales for each 1% more advertising that a model reports when it leaves the factor out, compared with models that include it.
Models that leave out carryover or other sales controls report higher short-term elasticity.
Differences in short-term elasticity between models without and with each factor, after allowing for the other differences between studies. Other sales controls are economic and household measures, such as income or family size, that also move sales. Based on 128 models across 22 studies of predominantly mature, frequently purchased U.S. consumer products through 1980; exact values +0.336 and +0.103.
Data chart
Averages across published models: percent change in same-period sales for each 1% more advertising, and share of each period's advertising effect that carries into the next period, in percent.
Across published models, sales rise about 0.22% in the same period for each 1% more advertising, and about 47% of each period's effect carries into the next period.
Simple averages, not adjusted for differences between studies, of 128 short-term elasticities and 114 carryover coefficients from 22 published studies of predominantly mature, frequently purchased U.S. consumer products through 1980; exact values 0.221 and 0.468, which the paper rounds to about 0.3 and 0.5 as starting values for testing a new model.
Key takeaway
Check how a model is built before trusting its advertising sales elasticity.
The studies cover mostly mature, frequently purchased U.S. consumer products through 1980 and measure sales, not profit. New products, durable goods, services, other regions and digital media get little or no coverage.
Source
Assmus, G., Farley, J. U., & Lehmann, D. R. (1984). How advertising affects sales: Meta-analysis of econometric results. Journal of Marketing Research, 21(1), 65–74. https://doi.org/10.1177/002224378402100107
Exact values behind the rounded figures: short-term elasticity 0.336 higher in models without a carryover term, 0.103 higher in models without other sales controls, 0.176 higher with pooled data and 0.101 higher for advertised food products; a simple average short-term elasticity of 0.221 and an adjusted average of 0.695; an average carryover coefficient of 0.468, printed as 47%.