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Updated: May 5, 2026

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Miss it like Messi: Extracting value from off-target shots in soccer.
Ethan Baron1, Nathan Sandholtz2, Devin Pleuler3
1University of Toronto, Toronto, ON, Canada.
Summary
This study introduces new soccer analytics metrics that value off-target shots, unlike current models. These novel metrics better measure shooting skill by analyzing shot trajectories, offering improved stability and predictive power.
Area of Science:
- Sports Analytics
- Football Analytics
- Performance Measurement
Background:
- Measuring soccer shooting skill is difficult due to limited scoring data and contextual factors.
- Existing advanced metrics like expected goals added and post-shot expected goals improve upon conversion rates but ignore off-target shots.
- Off-target shots, comprising nearly two-thirds of all attempts, are currently assigned zero value in all developed metrics.
Purpose of the Study:
- To propose novel soccer shooting skill metrics that incorporate data from off-target shots.
- To develop a player-specific generative model for shot trajectories to quantify skill in off-target attempts.
- To demonstrate the improved stability and predictive power of these new metrics compared to existing state-of-the-art methods.
Main Methods:
- Developed a player-specific generative model for soccer shot trajectories using a mixture of truncated bivariate Gaussian distributions.
- Utilized the generative model to compute new shooting skill metrics that assign non-zero value to off-target shots.
- Evaluated the proposed metrics against current state-of-the-art metrics for stability and predictive accuracy.
Main Results:
- The proposed metrics successfully incorporate the skill signal present in off-target shot trajectories.
- New metrics demonstrate greater stability compared to existing advanced soccer analytics metrics.
- The enhanced metrics exhibit increased predictive power in evaluating shooting performance.
Conclusions:
- Off-target shot trajectories contain valuable information for assessing soccer shooting skill.
- The developed generative model and associated metrics offer a more comprehensive approach to measuring shooting performance.
- These novel metrics provide a more accurate and stable evaluation of player shooting ability in soccer analytics.
Keywords:
Bayesian hierarchical modelgenerative modelmixture modelplayer valuationshot trajectoriesspatial dataMore Related Videos
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