The Hot Hand, the 2007 Mavericks and Allen Iverson: Three NBA Stories the Numbers Complicate

In 1985, psychologists Thomas Gilovich, Robert Vallone, and Amos Tversky published a study in the journal Cognitive Psychology that was read for decades as the end of one of basketball’s oldest narratives. Among other tests, they analyzed shooting records from the 1980-81 Philadelphia 76ers and found no evidence that a player who had just made several shots in a row was any more likely to make the next one than a player who had just missed. The “hot hand,” the thing every broadcast crew invokes the moment a shooter hits three in a row, looked like a cognitive illusion, not a physical phenomenon. For roughly three decades that finding stood as the default position in sports analytics.

The twist, and the reason to check the numbers rather than quote the first study that confirms a worldview, is that the hot hand story did not stay settled. In a working paper first circulated in 2014 and 2015, and then in Econometrica in 2018, economists Joshua Miller and Adam Sanjurjo showed that the standard way of measuring streaks carries a subtle selection bias: in a finite sequence of shots, the usual calculation makes any real streakiness harder to detect. Once they corrected for it, evidence of a real hot-hand effect reappeared. How large that effect is has remained a matter of debate. The honest conclusion is not “the hot hand is real” or “the hot hand is fake.” It is that a famous debunking was itself overturned, at least in part, once other researchers checked its math more carefully, which is exactly the standard sports media rarely applies to its own narratives.

Basketball hoop with chain net and a wire-mesh backboard against a grey sky
Photo: Magne / Unsplash

A second gap between story and record shows up when a dominant regular-season team loses in the playoffs. The 2006-07 Dallas Mavericks won 67 games, the best record in the NBA that season, and the numbers behind the record were strong too. Basketball-Reference’s Simple Rating System, which combines point differential with strength of schedule, put Dallas at 7.28, tied for second in the league behind San Antonio at 8.35. The Mavericks lost the first round in six games to the eighth-seeded Golden State Warriors, who had won 42 games and rated 13th in the league at 0.00. Dallas had also lost all three regular-season meetings with Golden State. It remains one of only six times an eighth seed has beaten a top seed in the first round, the most recent being Miami over Milwaukee in 2023, and Orlando’s attempt to become the seventh in 2026 ended in a Game 7 loss to Detroit. The lesson is narrower than “ignore the win total”: here the record and the point differential agreed, and the upset happened anyway, because a seven-game series is a small sample and a matchup can matter more than a season-long rating suggests.

A third gap opens when a broadcast treats counting stats as a stand-in for efficiency. Allen Iverson led the league in scoring in 2001-02 at 31.4 points per game, but his true shooting percentage that season was .489 according to Basketball-Reference, against a league average of roughly .520 calculated from the league totals on the same site. Volume and efficiency told different stories about his offensive value.

What connects the hot hand, the 2007 Mavericks, and the points-versus-efficiency problem is not that broadcasters are lying. It is that a compelling story is cheaper to produce than a verified one, and nobody is penalized for running the story anyway. The fix is not cynicism about every stat you hear. It is the much less satisfying habit of checking whether the number being waved at you actually measures what the narrative claims it measures, the same way Miller and Sanjurjo checked Gilovich’s math some thirty years after everyone assumed the question was closed.

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