Methods and apparatus to estimate census level impressions and unique audience sizes across demographics

1. An apparatus to determine census-based audience metrics of media across multiple demographics, the apparatus comprising:

a value generator to determine a first one of a plurality of cross-demographic total census parameter values based on a ratio of a third-party impression count and a third-party audience size;

an audience size determiner to determine a first census-level audience size based on the first one of the plurality of cross-demographic total census parameter values;

an impression count determiner to determine a first census-level impression count based on the first one of the plurality of cross demographic total census parameter values;

a verifier to:

determine whether the first one of the plurality of cross-demographic total census parameter values satisfies a constraint based on the first census-level impression count, and

when the constraint is not satisfied: (a) discard the first one of the cross-demographic total census parameter values, and (b) select a second one of the cross-demographic total census parameter values, the second one of the cross-demographic total census parameter values to determine a second census-level audience size and a second census-level impression count to satisfy the constraint; and

a database interface to, when the constraint is satisfied:

store the first census-level audience size and the first census-level impression count in computer memory, and

send the first census-level audience size and the first census-level impression count to a network-connected device.

2. The apparatus of claim 1 , wherein the impression count determiner is to determine the first census-level impression count further based on the first census-level audience size.

3. The apparatus of claim 1 , wherein the media is at least one of a webpage, an advertisement, or video.

4. The apparatus of claim 1 , further including a value tester to select the first and second ones of the cross-demographic total census parameter values from a range, an upper bound constraint of the range being a peak cross-demographic total census parameter value.

5. The apparatus of claim 1 , wherein the third-party audience size and the third-party impression count are based on impressions of the media, the impressions attributable to subscribers of a database proprietor.

6. The apparatus of claim 1 , wherein the first census-level impression count corresponds to a first demographic, and the verifier is to determine that the first one of the plurality of cross-demographic total census parameter values satisfies the constraint when a sum of the first census-level impression count and second census-level impression counts corresponding to second demographics equal a census-level total impression count.

7. The apparatus of claim 6 , wherein the census-level total impression count is based on first impressions of the media logged by an audience measurement entity, the audience measurement entity separate from a database proprietor that generates the third-party audience size and the third-party impression count based on second impressions of the media, the second impressions attributable to subscribers of the database proprietor.

8. At least one non-transitory computer readable medium comprising instructions that, when executed, cause at least one processor to at least:

determine a first one of a plurality of cross-demographic total census parameter values based on a ratio of a third-party impression count and a third-party audience size;

determine a first census-level audience size based on the first one of the plurality of cross-demographic total census parameter values;

determine a first census-level impression count based on the first one of the plurality of cross demographic total census parameter values;

determine whether the first one of the plurality of cross-demographic total census parameter values satisfies a constraint based on the first census-level impression count;

when the constraint is not satisfied: (a) discard the first one of the cross-demographic total census parameter values, and (b) select a second one of the cross-demographic total census parameter values, the second one of the cross-demographic total census parameter values to determine a second census-level audience size and a second census-level impression count to satisfy the constraint; and

when the constraint is satisfied:

store the first census-level audience size and the first census-level impression count in computer memory, and

send the first census-level audience size and the first census-level impression count to a network-connected device.

9. The at least one non-transitory computer readable medium of claim 8 , wherein the instructions, when executed, cause the at least one processor to determine the first census-level impression count further based on the first census-level audience size.

10. The at least one non-transitory computer readable medium of claim 8 , wherein the first census-level audience size and the first census-level impression count correspond to at least one of a webpage, an advertisement, or video.

11. The at least one non-transitory computer readable medium of claim 8 , wherein the instructions, when executed, cause the at least one processor to select the first and second ones of the cross-demographic total census parameter values from a range, an upper bound constraint of the range being a peak cross-demographic total census parameter value.

12. The at least one non-transitory computer readable medium of claim 8 , wherein the third-party audience size and the third-party impression count are based on impressions of media, the impressions attributable to subscribers of a database proprietor.

13. The at least one non-transitory computer readable medium of claim 8 , wherein the first census-level impression count corresponds to a first demographic, and the instructions, when executed, cause the at least one processor to determine that the first one of the plurality of cross-demographic total census parameter values satisfies the constraint when a sum of the first census-level impression count and second census-level impression counts corresponding to second demographics equal a census-level total impression count.

14. The at least one non-transitory computer readable medium of claim 13 , wherein the census-level total impression count is based on first impressions of media logged by an audience measurement entity, the audience measurement entity separate from a database proprietor that generates the third-party audience size and the third-party impression count based on second impressions of the media, the second impressions attributable to subscribers of the database proprietor.

15. A method to determine census-based audience metrics of media across multiple demographics, the method comprising:

determining, by executing an instruction with a processor, a first one of a plurality of cross-demographic total census parameter values based on a ratio of a third-party impression count and a third-party audience size;

determining, by executing an instruction with the processor, a first census-level audience size based on the first one of the plurality of cross-demographic total census parameter values;

determining, by executing an instruction with the processor, a first census-level impression count based on the first one of the plurality of cross demographic total census parameter values;

determining, by executing an instruction with the processor, whether the first one of the plurality of cross-demographic total census parameter values satisfies a constraint based on the first census-level impression count;

when the constraint is not satisfied: (a) discarding, by executing an instruction with the processor, the first one of the cross-demographic total census parameter values, and (b) selecting, by executing an instruction with the processor, a second one of the cross-demographic total census parameter values, the second one of the cross-demographic total census parameter values to determine a second census-level audience size and a second census-level impression count to satisfy the constraint; and

when the constraint is satisfied:

storing, by executing an instruction with the processor, the first census-level audience size and the first census-level impression count in computer memory, and

sending, by executing an instruction with the processor, the first census-level audience size and the first census-level impression count to a network-connected device.

16. The method of claim 15 , wherein the first census-level impression count is determined based on the first census-level audience size.

17. The method of claim 15 , further including selecting the first and second ones of the cross-demographic total census parameter values from a range, an upper bound constraint of the range being a peak cross-demographic total census parameter value.

18. The method of claim 15 , wherein the third-party audience size and the third-party impression count are based on impressions of the media, the impressions attributable to subscribers of a database proprietor.

19. The method of claim 15 , wherein the first census-level impression count corresponds to a first demographic, and further including determining that the first one of the plurality of cross-demographic total census parameter values satisfies the constraint when a sum of the first census-level impression count and second census-level impression counts corresponding to second demographics equal a census-level total impression count.

20. The method of claim 19 , wherein the census-level total impression count is based on first impressions of the media logged by an audience measurement entity, the audience measurement entity separate from a database proprietor that generates the third-party audience size and the third-party impression count based on second impressions of the media, the second impressions attributable to subscribers of the database proprietor.