Renormalizing Individual Performance Metrics for Cultural Heritage Management of Sports Records
Chaos, Solitons and Fractals, 2020
18 Pages Posted: 17 May 2020
Date Written: April 13, 2020
Individual performance metrics are commonly used to compare players from different eras. However, such cross-era comparison is often biased due to significant changes in success factors underlying player achievement rates (e.g. performance enhancing drugs and modern training regimens). Such historical comparison is more than fodder for casual discussion among sports fans, as it is also an issue of critical importance to the multi-billion dollar professional sport industry and the institutions (e.g. Hall of Fame) charged with preserving sports history and the legacy of outstanding players and achievements. To address this cultural heritage management issue, we report an objective statistical method for re-normalizing career achievement metrics, one that is particularly tailored for common seasonal performance metrics, which are often aggregated into summary career metrics – despite the fact that many player careers span different eras. Remarkably, we find that the method applied to comprehensive Major League Baseball and National Basketball Association player data preserves the overall functional form of the distribution of career achievement, both at the season and career level. As such, subsequent re-ranking of the top-50 all-time records in MLB and the NBA using re-normalized metrics indicates reordering at the local rank level, as opposed to bulk reordering by era. This local order refinement signals time-independent mechanisms underlying annual and career achievement in professional sports, meaning that appropriately re-normalized achievement metrics can be used to compare players from eras with different season lengths, team strategies, rules – and possibly even different sports.
Keywords: Achievement, Careers, People Analytics, Baseball, Basketball, Cultural Heritage
JEL Classification: D39, J24, J44, L83
Suggested Citation: Suggested Citation