Saturday, April 19, 2025
NBA Playoffs 2025 Bracket Math (Post Play-In)
Monday, April 14, 2025
NBA Play-In 2025 Bracket Math
The 7-seed has still never missed the playoffs in the play-in era, with two chances to win one home game to advance.
This year is even more lopsided than normal, as my model has Golden State as the second strongest team in the West (way behind OKC though). Memphis is very strong as well, and both 7 and 8 in the West are far ahead of Sacramento and Dallas.
The East is more replacement level, with Miami projecting as the second best play-in team in the conference. But winning two games on the road back-to-back is a very tall order and results in an 80% chance they miss the playoffs.
Thursday, June 6, 2024
NBA Finals 2024 Bracket Math
Going in to the playoffs, I only had 4 teams with > 5% chance of winning the title - Boston led the way with almost a 50/50 chance to raise another banner, whereas Dallas was barely on the radar, with the 12th best odds at 0.38%. Last year, Denver was barely above this 5% threshold, and ultimately steamrolled a Miami team that I gave a 0.1% chance of winning the championship at the start of last year's playoffs. Denver then had about a 60% edge last Finals on the back of an incredible playoff run by Nikola Jokic.
This season it's Luka Doncic's turn in the postseason, so I've based this season's Finals simulations off of playoff statistics only. This choice could seem to penalize Boston, as they have had much less impressive performances throughout these playoffs, compared to Dallas. Even so, they've only lost 2 games the entire postseason.
In Boston's favor, I am including Kristaps Porzingis at full-strength, and assuming his regular season workload, as he is not listed on the injury report and is expected to play in all games.
A lot has been made about how Dallas would be the 3rd biggest Finals upset in the modern era how Dallas would be the 3rd biggest Finals upset in the modern era - their odds are pegged at +185, or ~35%.
And yet I actually have those market odds as overrating their chances:
# Games | BOS in... | DAL in... | Total |
4 | 12.0% | 2.7% | 14.8% |
5 | 21.7% | 5.8% | 27.5% |
6 | 20.0% | 9.6% | 29.6% |
7 | 18.1% | 10.1% | 28.2% |
71.9% | 28.1% | 100.0% |
Ultimately I project Boston in 5. I have them as 7 point favorites (63% win probability) at home, and 3.5 point favorites (58% win probability) on the road. This adds up to a very large series probability.
A big question in this series is whether the top tier talent of Dallas can overwhelm Boston's depth. Dallas might have the 1st and 2nd best player, but Boston is far deeper at 3, 4, 5, 6, etc.
Luka may have the best projected stat line, but Tatum and Brown are consistently really good, and that, plus Boston's depth, results in Boston as a very strong favorite.
Name | Pos | Team | Points | Rebounds | Assists | Turnovers | Steals | Blocks |
Luka Doncic | PG | DAL | 30.2 | 8.4 | 9.2 | 3.6 | 1.7 | 0.2 |
Jayson Tatum | PF | BOS | 29.9 | 9.8 | 6.5 | 2.2 | 1.5 | 0.3 |
Jaylen Brown | SF | BOS | 24.6 | 5.8 | 3.2 | 2.4 | 1.4 | 0.3 |
Kyrie Irving | SG | DAL | 24.6 | 3.8 | 6.6 | 2.5 | 1.4 | 0.2 |
Derrick White | SG | BOS | 18.6 | 4.3 | 5.7 | 0.7 | 1.3 | 0.6 |
P.J. Washington | PF | DAL | 14.9 | 6.6 | 1.9 | 1.4 | 1.1 | 0.3 |
Kristaps Porzingis | C | BOS | 11.2 | 4.2 | 1.6 | 0.8 | 1.2 | 0.6 |
Daniel Gafford | C | DAL | 10.5 | 5.5 | 0.9 | 1.0 | 0.3 | 0.7 |
Jrue Holiday | PG | BOS | 10.4 | 4.7 | 4.4 | 1.3 | 1.4 | 0.3 |
Dereck Lively II | C | DAL | 10.1 | 6.4 | 1.9 | 1.0 | 0.3 | 0.5 |
Derrick Jones Jr. | SF | DAL | 9.6 | 3.2 | 1.6 | 0.9 | 0.5 | 0.4 |
Payton Pritchard | PG | BOS | 7.4 | 2.2 | 2.6 | 0.7 | 0.3 | 0.0 |
Al Horford | C | BOS | 7.2 | 5.3 | 1.7 | 0.5 | 0.7 | 0.3 |
Sam Hauser | SF | BOS | 5.7 | 2.3 | 0.8 | 0.3 | 0.5 | 0.1 |
Josh Green | SF | DAL | 5.4 | 2.4 | 1.4 | 0.4 | 0.8 | 0.1 |
Tim Hardaway Jr. | SF | DAL | 3.1 | 1.1 | 0.3 | 0.1 | 0.3 | 0.0 |
Luke Kornet | C | BOS | 2.5 | 1.8 | 0.3 | 0.3 | 0.0 | 0.1 |
Maxi Kleber | C | DAL | 2.3 | 1.2 | 0.8 | 0.3 | 0.1 | 0.1 |
Dante Exum | PG | DAL | 2.1 | 0.7 | 0.6 | 0.1 | 0.1 | 0.0 |
Xavier Tillman Sr. | C | BOS | 0.5 | 0.7 | 0.2 | 0.2 | 0.2 | 0.0 |
Tuesday, May 14, 2024
Clark vs DeJean, A Fairly Competitive Game of One-on-One
A follow-up to my post, "Lavar vs Jordan, An Incredibly Lopsided Game of One-on-One". Cooper DeJean, professional football player and former Iowa Hawkeye, made headlines when he declared he could win a game of one-on-one against Caitlin Clark, professional basketball player and former Iowa Hawkeye.
Setting aside Austin Rivers's commentary on the crossover appeal of basketball/football players, Clark holds the all-time points record in both men's and women's college basketball. DeJean was a very good high school basketball player though, scoring more points in the state of Iowa than Carolina great Harrison Barnes, and recording more steals in the state of Iowa than Carolina great Marcus Paige.
So I set out to simulate DeJean's claim that if he lost, it would be by one or two. Using Clark's college senior year statistics at Iowa, compared to DeJean's high school senior year statistics at OABCIG, I simulated a game to 21 by ones and twos.
And he's right! I have Caitlin Clark winning 53.5% of the time by an average score of 21 to 20 - a very evenly matched game.
Notwithstanding the relative quality of competition, DeJean's high school statistics are fairly comparable to Clark's last year at Iowa - but where Clark wins out is her 3-Point Attempt Rate. Not her 3 Point percentage - Clark shot 37.8% her (college) senior year, compared to DeJean's 39.5%. But 60% of Clark's field goal attempts were threes - a ridiculously high volume compared to DeJean's 21.5%.
Especially in a game of ones and twos, Clark's range and 3-point volume would give her the edge.
Saturday, April 20, 2024
NBA Playoffs 2024 Bracket Math (Post Play-In)
The streak continues - no regular season 7 seed has failed to make the playoffs in the play-in era. However, this year's iteration came at great cost to the respective teams, both losing arguably their best player - Zion Williamson for New Orleans and Jimmy Butler for Miami appear to be looking at lengthy absences.
But the playoffs are set, and there is one very clear favorite - Boston, with their dominant regular season, is almost 50/50 to win it all - more than the next 3 teams combined (Denver, OKC, and Minnesota).
Tuesday, April 16, 2024
NBA Play-In 2024 Bracket Math
As always, winning 2 games in a row is really hard - just like it was last year, when both the 7 and 8 seeds ultimately made the playoffs. No 7 seed has ever ultimately missed the playoffs since the play-in began in 2021.
This year is no different - while the 7 and 8 in the East are clearly superior teams, the second best play-in team in the West is the 10 seed Golden State Warriors.
But they have to win twice in a row, on the road - and thus have the worst odds of making the playoffs out of the West.
This also speaks to how perilous a strategy it would be for the Lakers to intentionally lose the first play-in game to avoid Denver in the first round (something that has been suggested).
Even setting aside that I have the Nuggets rated lower than the Thunder, the Lakers would only have about a 55% chance to beat either the Kings or Warriors in a single game. That leaves 45% where they completely miss the playoffs - so the difference in beating OKC over Denver would have to be massive to maximize "likelihood to win the title".
Thursday, June 1, 2023
NBA Finals 2023 Bracket Math
Once the playoff bracket was set, and Miami barely got in to the field as the 8 seed, I gave them just a 0.7% chance to make the Finals, and only 0.1% to win the title. Out of 10,000 simulations, that's roughly 10 wins. That's it.
Their chances are a lot higher now! And their impressive abnormal(?) performance in the postseason necessitates a few assumptions to be changed in my play-by-play simulation of the Finals. I mean, I had them as the worst rated team in the field - and they did have a negative point differential in the regular season!
Per current injury reporting, I'm assuming Tyler Herro comes back for Game 3, while other injuries (like Victor Oladipo) eliminate those players from the series. I'm taking in to account Denver's significant home court advantage, which I've analyzed before, and so has Zach Lowe and others at ESPN.
The final component I had to decide on - do I use regular season data to underpin the model, or each team's postseason performance?
I didn't exactly have Denver as a juggernaut before the playoffs - they were the 4th strongest team in the West, behind Phoenix, Golden State, and Memphis. And when I use regular season only, I get a competitive series, with Denver as a slight favorite:
# Games | DEN in... | MIA in... |
4 | 8.2% | 4.9% |
5 | 15.3% | 9.5% |
6 | 17.6% | 13.3% |
7 | 17.3% | 14.0% |
58.3% | 41.7% |
But the Heat have been on a run for the ages, and their "new normal" is maybe this elevated postseason play. So I reran everything off of playoff statistics only... only to see Denver strengthen:
# Games | DEN in... | MIA in... |
4 | 7.8% | 4.3% |
5 | 17.1% | 8.5% |
6 | 16.0% | 14.6% |
7 | 18.7% | 12.9% |
59.6% | 40.4% |
Denver's chances as the favorite actually increase. My results aren't as aggressive as the betting markets (80%) and FiveThirtyEight, which has Denver as a 74% favorite.
Ultimately I project Denver in 7 (I was wrong last year, when I had Boston in 6).
While Jimmy Butler has been otherworldly, Nikola Jokic has been even more dominant. Here is the projected average box score, using the playoff data as the input:
Name | Pos | Team | Points | Rebounds | Assists | Turnovers | Steals | Blocks |
Nikola Jokic | C | DEN | 34.1 | 12.6 | 12.0 | 3.6 | 1.5 | 0.4 |
Jimmy Butler | PF | MIA | 25.5 | 5.7 | 5.5 | 1.5 | 1.9 | 0.3 |
Tyler Herro | SG | MIA | 20.9 | 5.6 | 5.5 | 2.3 | 1.0 | 0.2 |
Bam Adebayo | C | MIA | 17.7 | 8.8 | 4.4 | 2.4 | 1.2 | 0.4 |
Jamal Murray | PG | DEN | 17.4 | 3.1 | 4.5 | 1.3 | 1.2 | 0.1 |
Michael Porter Jr. | SF | DEN | 15.1 | 7.4 | 2.1 | 0.5 | 0.9 | 0.3 |
Aaron Gordon | PF | DEN | 12.7 | 4.2 | 2.4 | 0.9 | 0.5 | 0.3 |
Bruce Brown | SF | DEN | 11.3 | 3.1 | 2.2 | 0.8 | 1.1 | 0.1 |
Kentavious Caldwell-Pope | SG | DEN | 9.5 | 2.4 | 1.5 | 0.6 | 1.2 | 0.2 |
Duncan Robinson | SF | MIA | 8.1 | 1.5 | 2.1 | 0.8 | 0.5 | 0.0 |
Caleb Martin | SF | MIA | 7.8 | 3.1 | 1.2 | 0.6 | 0.6 | 0.1 |
Kevin Love | PF | MIA | 7.8 | 5.5 | 1.8 | 0.7 | 0.5 | 0.2 |
Max Strus | SF | MIA | 7.4 | 2.3 | 0.9 | 0.2 | 0.4 | 0.1 |
Gabe Vincent | PG | MIA | 6.9 | 1.0 | 2.4 | 0.8 | 0.6 | 0.1 |
Kyle Lowry | PG | MIA | 5.6 | 1.9 | 3.0 | 1.0 | 0.7 | 0.3 |
Ish Smith | PG | DEN | 5.4 | 2.0 | 4.4 | 1.8 | 0.4 | 0.1 |
Jeff Green | PF | DEN | 4.8 | 1.9 | 0.8 | 0.5 | 0.3 | 0.2 |
Cody Zeller | C | MIA | 2.8 | 2.3 | 0.4 | 0.6 | 0.2 | 0.1 |
Christian Braun | SG | DEN | 2.8 | 1.7 | 0.4 | 0.5 | 0.5 | 0.1 |
DeAndre Jordan | C | DEN | 0.5 | 0.3 | 0.1 | 0.2 | 0.0 | 0.0 |
Jokic averages a triple double in the Finals 52.4% of the time. That's insane. I have him dropping 50+ 2.7% of the time, compared to 0.2% for Butler, and 0.01% for Jamal Murray (no other player recorded 50+ once in any simulation).
Compared to regular season data as the input:
Name | Pos | Team | Points | Rebounds | Assists | Turnovers | Steals | Blocks |
Jimmy Butler | PF | MIA | 26.0 | 5.5 | 6.2 | 1.4 | 2.3 | 0.2 |
Nikola Jokic | C | DEN | 25.6 | 10.4 | 11.7 | 3.4 | 1.4 | 0.3 |
Bam Adebayo | C | MIA | 25.5 | 10.3 | 4.5 | 2.7 | 1.8 | 0.5 |
Jamal Murray | PG | DEN | 18.1 | 3.2 | 6.4 | 1.8 | 1.0 | 0.1 |
Aaron Gordon | PF | DEN | 17.3 | 5.5 | 3.4 | 1.3 | 0.9 | 0.4 |
Tyler Herro | SG | MIA | 16.2 | 4.3 | 4.3 | 1.8 | 0.8 | 0.1 |
Michael Porter Jr. | SF | DEN | 14.7 | 4.2 | 1.1 | 0.9 | 0.6 | 0.2 |
Max Strus | SF | MIA | 11.8 | 3.4 | 2.7 | 0.9 | 0.8 | 0.1 |
Bruce Brown | SF | DEN | 10.9 | 3.2 | 3.4 | 1.3 | 1.1 | 0.3 |
Kentavious Caldwell-Pope | SG | DEN | 10.2 | 2.2 | 2.5 | 1.0 | 1.4 | 0.2 |
Caleb Martin | SF | MIA | 9.2 | 4.2 | 1.9 | 1.0 | 1.2 | 0.2 |
Kyle Lowry | PG | MIA | 7.9 | 2.6 | 4.1 | 1.2 | 0.9 | 0.1 |
Gabe Vincent | PG | MIA | 7.9 | 1.7 | 2.5 | 1.0 | 1.0 | 0.0 |
Jeff Green | PF | DEN | 7.8 | 2.1 | 1.2 | 0.7 | 0.3 | 0.1 |
Christian Braun | SG | DEN | 5.3 | 2.2 | 0.9 | 0.5 | 0.6 | 0.1 |
Duncan Robinson | SF | MIA | 4.8 | 1.2 | 0.9 | 0.4 | 0.3 | 0.0 |
DeAndre Jordan | C | DEN | 3.5 | 2.8 | 0.6 | 0.8 | 0.3 | 0.2 |
Kevin Love | PF | MIA | 3.3 | 2.0 | 0.9 | 0.4 | 0.3 | 0.0 |
Cody Zeller | C | MIA | 2.0 | 1.0 | 0.2 | 0.2 | 0.1 | 0.0 |
Ish Smith | PG | DEN | 1.9 | 0.7 | 1.6 | 0.7 | 0.2 | 0.0 |
Bam regresses quite a bit using playoffs only, Butler and Murray are both actually quite consistent, but Jokic rocketing up the leaderboard is the difference.