Methods and apparatus to improve reach calculation efficiency

An apparatus to improve an efficiency of determining a published reach value, the apparatus comprising:

• a market data evaluator to identify a negative binomial distribution (NBD) feasibility region corresponding to a published gross rating point (GRP) value, the published GRP value corresponding to a quantity change associated with an advertising campaign;
• and
• a conserved quantity engine to, after the market data evaluator has identified the NBD feasibility region is associated with a number of samples below a threshold:
• generate a model of the published GRP value;
• and
• reduce a computational burden associated with determining the published reach value of a sample distribution of marketing data by generating closed-loop conserved quantity expressions based on the model of the published GRP value.

A tangible computer readable storage medium comprising instructions to improve an efficiency of determining a published reach value that, when executed, cause a processor to, at least:

• identify a negative binomial distribution (NBD) feasibility region corresponding to a published gross rating point (GRP) value, the published GRP value corresponding to a quantity change associated with an advertising campaign;
• after having identified that the NBD feasibility region is associated with a number of samples below a threshold, generate a model of the published GRP value;
• and
• reduce a computational burden associated with determining the published reach value of a sample distribution of marketing data by generating closed-loop conserved quantity expressions based on the model of the published GRP value.

An apparatus to improve an efficiency of determining a published reach value, the apparatus comprising:

• market data evaluation means to identify a negative binomial distribution (NBD) feasibility region corresponding to a published gross rating point (GRP) value, the published GRP value corresponding to a quantity change associated with an advertising campaign;
• and
• conserved quantity generation means to, after the market data evaluation means has identified the NBD feasibility region is associated with a number of samples below a threshold:
• generate a model of the published GRP value;
• and
• reduce a computational burden associated with determining the published reach value of a sample distribution of marketing data by generating closed-loop conserved quantity expressions based on the model of the published GRP value.