MLS Salary & Performance Analysis
This study examines the relationship between player salary allocation and team performance in Major League Soccer from 2018 to 2024. Using data from fbref.com and the MLS Players Association, the research applies three performance metrics — Pythagorean Expectation (PE), Expected Pythagorean Expectation (xPE), and Expected Points (xPts) — derived from actual and expected goals to quantify team success.
A Lasso regression model is fitted for each MLS team, using salary summary statistics by player position (mean, median, variance, interquartile range, and percentiles) as predictors. The models demonstrate an exceptionally high in-sample fit, with case studies of LAFC, LA Galaxy, and San Jose Earthquakes showing near-zero prediction error across all seven seasons.
Building on the regression framework, a sensitivity analysis called Player Absence Impact estimates each individual player's marginal contribution to team performance by simulating their removal from the roster. This method is applied to 2024 rosters to assess how roster changes between the 2024 and 2025 seasons affected each team's projected performance outlook. The analysis contributes to the broader sports economics literature on wage dispersion and financial efficiency in professional soccer.