Methods and apparatus to generate audience metrics using third-party privacy-protected cloud environments

1. A system comprising:

a processor; and

memory storing instructions that, upon execution by the processor, cause the processor to perform operations comprising:

identifying donor adjustment factors and recipient adjustment factors used for correction of at least one of misattribution or non-coverage of media impressions logged by a database proprietor, the donor adjustment factors including first donor adjustment factors associated with a first geographic region and second donor adjustment factors associated with a second geographic region different from the first geographic region, the recipient adjustment factors associated with a third geographic region different from the first and second geographic regions;

determining a first reduced donor factor set corresponding to ones of the first donor adjustment factors that satisfy a threshold;

determining a second reduced donor factor set corresponding to ones of the second donor adjustment factors that satisfy the threshold; and

generating imputation factors based on an aggregation of retained ones of the donor adjustment factors, the retained ones of the donor adjustment factors selected based on the first reduced donor factor set and the second reduced donor factor set, the imputation factors to reduce error in the correction.

2. The system of claim 1 , wherein the threshold is associated with at least one of an audience count or an impressions count.

3. The system of claim 1 , the operations further comprising determining a reduced recipient factor set corresponding to ones of the recipient adjustment factors that satisfy the threshold.

4. The system of claim 3 , the operations further comprising:

calculating a first distance between the reduced recipient factor set and the first reduced donor factor set; and

calculating a second distance between the reduced recipient factor set and the second reduced donor factor set.

5. The system of claim 4 , the operations further comprising:

selecting a lesser distance from the first distance and the second distance;

determining a first ratio of the lesser distance to the first distance and a second ratio of the lesser distance to the second distance; and

selecting the retained ones of the donor adjustment factors based on the first and second ratios, the retained ones of the donor adjustment factors to include the first donor adjustment factors in response to the first ratio satisfying a retention threshold, the retained ones of the donor adjustment factors to include the second donor adjustment factors in response to the second ratio satisfying the retention threshold.

6. The system of claim 4 , the operations further comprising:

weighting the first donor adjustment factors by a reciprocal of the first distance;

weighting the second donor adjustment factors by a reciprocal of the second distance.

7. The system of claim 1 , the operations further comprising:

weighting the recipient adjustment factors based on a recipient weight; and

generating the imputation factors based on a combination of the weighted recipient adjustment factors and the aggregation of the retained ones of the donor adjustment factors.

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

identify donor adjustment factors and recipient adjustment factors used for correction of at least one of misattribution or non-coverage of media impressions logged by a database proprietor, the donor adjustment factors including first donor adjustment factors associated with a first geographic region and second donor adjustment factors associated with a second geographic region different from the first geographic region, the recipient adjustment factors associated with a third geographic region different from the first and second geographic regions;

determine a first reduced donor factor set corresponding to ones of the first donor adjustment factors that satisfy a threshold;

determine a second reduced donor factor set corresponding to ones of the second donor adjustment factors that satisfy the threshold; and

generate imputation factors based on an aggregation of retained ones of the donor adjustment factors, the retained ones of the donor adjustment factors selected based on the first reduced donor factor set and the second reduced donor factor set, the imputation factors to reduce error in the correction.

9. The non-transitory computer readable medium of claim 8 , wherein the threshold is associated with at least one of an audience count or an impressions count.

10. The non-transitory computer readable medium of claim 8 , wherein the instructions, when executed, cause the processor to determine a reduced recipient factor set corresponding to ones of the recipient adjustment factors that satisfy the threshold.

11. The non-transitory computer readable medium of claim 10 , wherein the instructions, when executed, cause the processor to:

calculate a first distance between the reduced recipient factor set and the first reduced donor factor set; and

calculate a second distance between the reduced recipient factor set and the second reduced donor factor set.

12. The non-transitory computer readable medium of claim 11 , wherein the instructions, when executed, cause the processor to:

select a lesser distance from the first distance and the second distance;

determine a first ratio of the lesser distance to the first distance and a second ratio of the lesser distance to the second distance; and

select the retained ones of the donor adjustment factors based on the first and second ratios, the retained ones of the donor adjustment factors to include the first donor adjustment factors in response to the first ratio satisfying a retention threshold, the retained ones of the donor adjustment factors to include the second donor adjustment factors in response to the second ratio satisfying the retention threshold.

13. The non-transitory computer readable medium of claim 11 , wherein the instructions, when executed, cause the processor to:

weight the first donor adjustment factors by a reciprocal of the first distance; and

weight the second donor adjustment factors by a reciprocal of the second distance.

14. The non-transitory computer readable medium of claim 8 , wherein the instructions, when executed, cause the processor to:

weight the recipient adjustment factors based on a recipient weight; and

generate the imputation factors based on a combination of the weighted recipient adjustment factors and the aggregation of the retained ones of the donor adjustment factors.

15. A method comprising:

identifying donor adjustment factors and recipient adjustment factors used for correction of at least one of misattribution or non-coverage of media impressions logged by a database proprietor, the donor adjustment factors including first donor adjustment factors associated with a first geographic region and second donor adjustment factors associated with a second geographic region different from the first geographic region, the recipient adjustment factors associated with a third geographic region different from the first and second geographic regions;

determining a first reduced donor factor set corresponding to ones of the first donor adjustment factors that satisfy a threshold;

determining a second reduced donor factor set corresponding to ones of the second donor adjustment factors that satisfy the threshold; and

generating, by executing instructions with a processor, imputation factors based on an aggregation of retained ones of the donor adjustment factors, the retained ones of the donor adjustment factors selected based on the first reduced donor factor set and the second reduced donor factor set, the imputation factors to reduce error in the correction.

16. The method of claim 15 , wherein the threshold is associated with at least one of an audience count or an impressions count.

17. The method of claim 15 , further including determining a reduced recipient factor set corresponding to ones of the recipient adjustment factors that satisfy the threshold.

18. The method of claim 17 , further including:

calculating a first distance between the reduced recipient factor set and the first reduced donor factor set; and

calculating a second distance between the reduced recipient factor set and the second reduced donor factor set.

19. The method of claim 18 , further including:

selecting a lesser distance from the first distance and the second distance;

determining a first ratio of the lesser distance to the first distance and a second ratio of the lesser distance to the second distance; and

selecting the retained ones of the donor adjustment factors based on the first and second ratios, the retained ones of the donor adjustment factors to include the first donor adjustment factors in response to the first ratio satisfying a retention threshold, the retained ones of the donor adjustment factors to include the second donor adjustment factors in response to the second ratio satisfying the retention threshold.

20. The method of claim 18 , further including:

weighting the first donor adjustment factors by a reciprocal of the first distance; and

weighting the second donor adjustment factors by a reciprocal of the second distance.