Generates sports team rankings and season schedule strengths by league, conference, and division from transitive comparisons of common opponents on multiple tier levels.

Ranks all teams based on scoring differentials by points, ratios, and games via head to head competition as well as common opponents on multiple tier levels. Teams with the most favorable comparisons against all other teams in each league are the most highly ranked. Actual games represent direct (empirical) encounters. Virtual games represent indirect (transitive) encounters. All tiebreakers for team rankings are determined by transitive differentials against the league.

Compares harmonically weighted scoring differentials over transitive connections between selected teams on each tier level by points, ratios, and games. Minimum differentials are derived from the most direct connections. Maximum differentials are derived from all connections. Optimum differentials are derived from empirical differentials, if available, or transitive differentials, if not. Current season includes previous season differentials until all teams in each league are sufficiently connected.

Calculates total number of mathematical links and scoring differentials by points, ratios, and games on each tier level for all transitive connections between selected teams.

Generates sports team rankings and season schedule strengths by league, conference, and division from transitive comparisons of common opponents on multiple tier levels.

Ranks all teams based on scoring differentials by points, ratios, and games via head to head competition as well as common opponents on multiple tier levels. Teams with the most favorable comparisons against all other teams in each league are the most highly ranked. Actual games represent direct (empirical) encounters. Virtual games represent indirect (transitive) encounters. All tiebreakers for team rankings are determined by transitive differentials against the league.

Compares harmonically weighted scoring differentials over transitive connections between selected teams on each tier level by points, ratios, and games. Minimum differentials are derived from the most direct connections. Maximum differentials are derived from all connections. Optimum differentials are derived from empirical differentials, if available, or transitive differentials, if not. Current season includes previous season differentials until all teams in each league are sufficiently connected.

Calculates total number of mathematical links and scoring differentials by points, ratios, and games on each tier level for all transitive connections between selected teams.