Abstract: Methods and apparatus to compute reach and frequency values for flighted schedules are disclosed. An example method includes selecting two media components from a plurality of media components, and calculating a first flighted schedule campaign reach based on the two media components. The example method also includes repeating the selecting and calculating using the first flighted schedule campaign reach and a third media component from the plurality of media components to calculate a second flighted schedule campaign reach associated with the first, second, and third media components.

Abstract: Methods and apparatus for crediting media exposure are disclosed. An example method includes deriving a plurality of travel paths traversed by respective ones of a plurality of respondents, determining exposures of the respective ones of the plurality of respondents to a plurality of media sites based on the derived plurality of travel paths, and modifying the determined exposures to the plurality of media sites to improve statistical accuracy of the modified determined exposures.

Abstract: Methods, systems, and computer program products for implementing product randomization and analysis in a manufacturing environment are provided. A method includes processing products for a plurality of lots, at process equipment, using a randomization technique for selecting each product in the lots. The method further including generating an operation identification record for each operation in the process recipe that includes mapping, for each operation, a slot identifier associated with a randomly selected product to a process variable identifier, a process tool, and the operation. The method also includes defining slot groupings using slot identifiers for a product carrier and identifying product yield patterns by analyzing historical yields for each of the slot groupings.