Analyzing the relationship between time spent in the offensive zone and shot/goal probability. After entering the final quarter, goal probability initially rises as the team probes for opportunities, then declines after ~20 seconds as the defense organizes into position. For buildups starting from the team's own quarter, the threshold is even tighter: possessions taking >10 seconds to reach the final quarter show no edge over average — the defense has had enough time to set up. This creates a clear decision framework: attack quickly or regroup.
For each possession that enters the offensive zone: (1) record the entry timestamp, (2) record all subsequent events until the possession ends, (3) compute total dwell time in the offensive zone. Plot conditional probabilities: P(shot | dwell time) and P(goal | shot, dwell time). The expected pattern: shot probability increases monotonically with time (eventually they shoot), but goal probability peaks around 10-20 seconds then declines. For buildups from own quarter: plot time from buildup start to offensive zone entry, then compute P(shot) and P(goal) conditional on transit time. The 10-second threshold separates possessions with attacking edge from those where the defense is set.
After entering the final quarter, goal probability initially rises but then DECLINES after ~20 seconds as the defense organizes. Teams that dwell too long shoot more but convert less. For buildups from own half, possessions taking >10 seconds to reach the offensive zone show NO edge over average — the defense has had time to set. This creates a clear decision framework: attack within the window or reset.
After approximately 20 seconds of continuous possession in the offensive zone, goal-scoring probability plateaus because the defense has had time to fully organize. The first 5-10 seconds of zone occupation are the highest-value window — defenders are still adjusting their shape, gaps exist, and the pressing response hasn't fully formed. Attacking teams that fail to create a chance within the first 15-20 seconds of zone entry should consider resetting the possession rather than continuing to probe a fully set defense.