DDI = Pre-Recovery PC minus Pre-Recovery β the marginal contribution of defensive spatial positioning above and beyond the situation itself. Teams with high DDI win the ball back more often through off-ball structure rather than direct pressing. Bielsa-era Leeds had DDI values 4x higher than their successors, capturing the coaching philosophy in a single metric.
Compute both models per team per match. DDI = average(Pre-Recovery PC - Pre-Recovery). Positive = the team's positioning consistently adds recovery probability beyond what the baseline situation predicts.
Bielsa-era Leeds had DDI values 4x higher than their successors with the same core players. DDI changed because coaching changed, not players. DDI measures the coach's defensive system, not individual quality.
Defensive contributions are structurally harder to quantify because great defense often means nothing happens β no shot, no chance, no event to record. A center-back who positions perfectly so the opposition never attempts the through ball creates enormous value that generates zero data points. Attacking contributions (goals, assists, chances created) are directly observable and quantifiable. This measurement asymmetry causes a systematic market pricing error: clubs overpay for attackers (whose value is fully captured in data) and underpay for defenders (whose value is mostly invisible).