Abstract: Methods, apparatus, systems, and articles of manufacture to perform computer-based monitoring of audiences of network-based media using information theory to estimate intermediate level unions are disclosed. An example apparatus to determine a deduplicated, census-based audience metric of media includes panel union calculator circuitry to calculate a threshold statistic corresponding to an intermediate union of a panel hierarchy, and census union calculator circuitry to calculate a deduplicated audience value corresponding to the intermediate union of the census hierarchy based on the threshold statistic.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed to estimate population reach from marginals. Example apparatus disclosed herein are to determine an audience relationship value based on first audience exposure values for a recorded audience of a media and a first de-duplicated audience value for the recorded audience of the media, determine bounds of a pseudo universe estimate of a population audience of the media based on the audience relationship value and second audience exposure values for the population audience of the media, and iteratively determine the pseudo universe estimate of the population audience and a second de-duplicated audience value for the population audience of the media based on the audience relationship value and the second audience exposure values, the pseudo universe estimate of the population audience to be within the bounds.

Abstract: Methods, apparatus, systems, and articles of manufacture to perform computer-based monitoring of audiences of network-based media using information theory to estimate intermediate level unions are disclosed. An example apparatus to determine a deduplicated, census-based audience metric of media includes panel union calculator circuitry to calculate a threshold statistic corresponding to an intermediate union of a panel hierarchy, and census union calculator circuitry to calculate a deduplicated audience value corresponding to the intermediate union of the census hierarchy based on the threshold statistic.

Abstract: Methods and apparatus to estimate census level audience sizes, impression counts, and duration data are disclosed. Example instructions cause one or more processor to at least set up a system of equations based on first census data; select a census parameter value based on a constraint for census parameter selection, the constraint based on media access represented in panel data; iteratively solve for second census data that satisfies the system of equations using the panel data and the census parameter value, the second census data including an audience size value, an impression count value, and a duration value for a media item accessed by anonymous audience members in a demographic group; and generate a report including the second census data.

Abstract: Disclosed examples determine constraints based on a structure of initial audience totals; for a number of iterations: select values for modified audience totals that satisfy the constraints, the modified audience totals corresponding respectively to the initial audience totals; and determine an output based on the values for the modified audience totals and the initial audience totals; select final values of the modified audience totals resulting from completion of the number of iterations, the final values of the modified audience totals to be logically consistent; and generate a report including the final values of the modified audience totals.

Abstract: A disclosed example apparatus includes a communication interface to: access impression count data corresponding to a plurality of platforms; and access deduplicated total audience size data; an arithmetic logic unit to: generate a total impressions count by aggregating the impression count data corresponding to the plurality of platforms; generate an estimated per-platform impression count by dividing the total impressions count by a number of the platforms, a solver controller to: instruct a numerical solver to utilize the number of the platforms, the deduplicated total audience size data, and the estimated per-platform impression count to estimate the deduplicated audience size of a first platform of the platforms; and store the deduplicated audience size of the first platform in memory.

Abstract: Methods, apparatus, systems, and articles of manufacture to perform computer-based monitoring of audiences of network-based media using information theory to estimate intermediate level unions are disclosed. An example apparatus to determine a deduplicated, census-based audience metric of media includes panel union calculator circuitry to calculate a threshold statistic corresponding to an intermediate union of a panel hierarchy, and census union calculator circuitry to calculate a deduplicated audience value corresponding to the intermediate union of the census hierarchy based on the threshold statistic.

Abstract: Methods, and apparatus are disclosed to estimate a deduplicated audience of a partitioned audience of media presentations. An example apparatus includes interface circuitry, instructions in the apparatus, and processor circuitry to execute the instructions to at least: identify one or more nodes of a graph structure selected for estimation of a deduplicated audience, and estimate a value indicative of the deduplicated audience across a first selected node of the graph structure and a second selected node of the graph structure.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed to determine census audience measurements.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed to estimate population reach from marginals. Example apparatus disclosed herein are to determine an audience relationship value based on first audience exposure values for a recorded audience of a media and a first de-duplicated audience value for the recorded audience of the media, determine bounds of a pseudo universe estimate of a population audience of the media based on the audience relationship value and second audience exposure values for the population audience of the media, and iteratively determine the pseudo universe estimate of the population audience and a second de-duplicated audience value for the population audience of the media based on the audience relationship value and the second audience exposure values, the pseudo universe estimate of the population audience to be within the bounds.

Abstract: Methods and apparatus to estimate census level audience sizes, impression counts, and duration data are disclosed. Example instructions cause one or more processor to at least set up a system of equations based on first census data; select a census parameter value based on a constraint for census parameter selection, the constraint based on media access represented in panel data; iteratively solve for second census data that satisfies the system of equations using the panel data and the census parameter value, the second census data including an audience size value, an impression count value, and a duration value for a media item accessed by anonymous audience members in a demographic group; and generate a report including the second census data.

Abstract: An example apparatus includes audience metrics collecting circuitry to access first audience metrics from a server, and access second audience metrics from the server, matrix building circuitry to build a matrix of the first audience metrics and the second audience metrics, missing values of the matrix corresponding to the second audience metrics, data transforming circuitry to transform the first audience metrics and the second audience metrics in the matrix, missing value calculating circuitry to determine imputed transformed values of the missing values using a recommender system, and the data transforming circuitry to recover imputed values of the missing values based on the imputed transformed values.

Abstract: Methods, apparatus, systems, and articles of manufacture are disclosed for audience measurement analysis including at least one memory, instructions, and processor circuitry to execute the instructions to scale at least one of subscriber duration values or total census-level duration values to generate a scaled duration value that corresponds to an impression count of at least a threshold amount of duration time, determine cross-demographic total census parameter values based on the scaled duration value, determine a search space of possible cross-demographic total census parameter values, the search space to include the determined cross-demographic total census parameter values, determine census-level metrics based on the determined cross-demographic total census parameter values, the census-level metrics including demographic census-level audience size data and demographic census duration values, output a report of the census-level metrics.