SlideShare a Scribd company logo
Is the 3-point-game
taking over NBA basketball?
November 22, 2021
Gaetan Lion
3-pts shots as a % of total points scored have
risen quite dramatically from less than 3% in the
early 80s to 34% in the most recent two seasons.
However, 2-pts shots still account for over 50% of
total points.
Based on current trends, you would expect that
2-pts shots will still account for a much greater %
of total points scored vs. 3-pts shots for the
foreseeable future.
Is the 3-points-game taking over NBA basketball? … Not yet.
2
Data source for this entire presentation is:
basketball-reference.com
Has NBA shooting gotten better over the years?
… not much if at all…
Free throws (1 pt) success rate has remained nearly
perfectly flat since beginning of time series in 1979
at slightly under 80%.
3-pts success rate has remained pretty flat at
around 35% since the mid 90s.
2-pts success rate is the only category that has seen
a mild increase in success rate. However, the
increase is a bit more pronounced if we focus on the
period from the 1997 – 1998 season onward.
3
The number of 3-points attempts per game has risen dramatically
The 3-points scoring was introduced in the NBA in
1979. So, it took a while for the players and
coaches to adjust their skills and strategies to
leverage the benefit of this 3-points line.
With time, the NBA has more aggressively adopted
3-points shooting. In the most recent two seasons,
average number of 3-points shot attempts per
game was 35 or above. Meanwhile, that number
remained under 20 until 2013- 2014.
4
Is 3-points skill a predictor of a team’s performance?
Focusing on the 2020-2021 season data
Whether you look at number of points scored, or team
rankings, or Z values (scaling number of points by number of
standard deviation above or below the NBA average), the
results are very much the same.
The 2-pts performance has a much higher correlation with
the overall team performance than the 3-pts performance.
The 2-pts performance explains twice as much of the
variance between team performance than the 3-pts
performance does (R Square values).
5
During the 2020 – 2021 NBA season, the top
10 teams in 2-pts shots had much higher
average rankings at 10.5 vs. the top 10
teams in 3-pts shots.
However, 2-pts shots performance is not
that deterministic either. The Spurs, number
1 on 2-pts shots rankings, are only 17 out of
30 overall.
Look at the Bucks, they are outstanding in 3-
pts shots, only second to the record breaking
Warriors. But, in overall ranks the Bucks are
only 16 out of 30.
The Timberwolves who come in a close 3d in
3-pts shots, are a distant 22nd in overall
rankings.
Is 3-points skill a predictor of a team’s performance? A second look…
Focusing on the 2020-2021 season data and focusing on the top 10 overall
6
Difference in ranks between 3-pts and 2-pts when focusing on the top 10 NBA teams
7
We used the nonparametric Mann-Whitney test to evaluate whether the difference in average and
median ranks between 3-pts and 2-pts is statistically significant. When we focus on the Median that
reduces the influence of outliers such as the Warriors that are ranked 1st overall and also in 3-pts rank,
the difference between the two is pretty large at 4 ranks (Median is 13.5 for the 3-pts rank and 9.5 for
the 2-pts rank associated with a 2-tail p value of 0.13… not far from statistical significance at the alpha
0.10 threshold).
Relationship between overall rank and 3-pts rank looking at all 30 NBA
teams during 2020 – 2021 season
8
If the 3-pts ranking was identical to the overall
ranking, the regression trend line (red line would be
on a perfect diagonal). And, the regression equation
would be equal to:
3-pts rank = 1.0(Overall rank) + 0.
And, R Square would be equal to 1.
Instead, the 3-pts rank indicates it has a really weak
relationship with the Overall rank, as its Overall rank
coefficient at 0.39 is closer to 0 than 1. If it was 0, it
would indicate there is no relationship between the
two. The slope of the red regression line would be 0.
The regression line would be horizontal. As is, this
regression line is not that far off from indicating there
is little to no relationship between the two rankings.
Comparing the 3-pts ranking vs. Overall ranking with the
2-pts ranking vs. Overall ranking
9
y = 0.5396x + 7.1895
R² = 0.2922
0
5
10
15
20
25
30
35
0 5 10 15 20 25 30 35
2
pts.
Ranking
Overall Ranking
Rank: Overall vs. 2-pts ranking
As shown, the 2-pts ranking vs. Overall ranking relationship (right hand graph) is a lot stronger than the 3-pts one
(on the left and also on the previous slide).
Can the Warriors survive a post-Curry era?
10
Reviewing the data, it
appears that they
may be able to do
just fine. 2-pts still
very much are the
bread-and-butter of
the game. When
Curry does not play
well, the Warriors
score fewer 3-pts
points and more 2-
pts points.
When Curry scores 40 or even 50 points per game, it makes for really great headline. But, for the Warriors whether Curry
scores 40 points, or if Curry does not play well, another two or even three different team mates cumulatively score these
40 points that Curry would have scored makes no difference for the team. As we speak that is exactly what happened last
night as described in the Marin IJ article.
How to counter Stephen Curry?
Let’s say in a reasonable game Stephen Curry throws 11 3-pts
shots attempts, and succeeds 40% of the time, resulting in
scoring about 13 points.
The opposite team can counter Curry’s 3-pts performance by
either raising their 2-pts success rate to 60%. Or they can
counter partly by making one or more two 2-pts shots
attempts vs. Curry’s 3-pts attempts. All above, appears very
feasible for an NBA team.
This exact same logic can be applied on how the Warriors can
compensate for Curry when he is not playing.
I have explored much more complicated model structures with little success. At the end of the day, this
very simple format seemed the most informative.
11
Stephen Curry’s 3-pts record
12
This serves as a good reference for the simple
model presented on the previous slide.
Stephen Curry Section:
How good is Curry?
How many good years left does he have?
13
How good is Curry? Looking at 3-pts success rate…
Except for the 2019 – 2020, when Curry suffered a severe left-hand injury, his record in 3-pts success rate has
been much superior to the NBA average. Curry’s skill superiority is also in his ability to score baskets from close
to mid-court and beyond (“from way downtown”). So, Curry has a much higher success rate while shooting
often from far greater distance than other players. That’s this combination that makes Curry a magician. This
amazing feat (scoring from great distance) unfortunately does not leave any footprint in the scoring data. 14
15
Given that Stephen Curry is still active and has a few good years left (33 years old), he is just about assured to pass
Ray Allen, and stand in first place.
James Harden, in 4th position, is still active (32 years old). And, is also likely to rise up the rankings.
16
The main point from this first table is that contemporary
players such as Curry and Harden score many more 3-pts
baskets per game than the other three players that belong
to older generations of the game.
Directionally, exact same explanatory narrative as above.
The contemporary players make so many more 3-pts
attempts. That’s why they are so much more productive in
scoring 3-pts baskets.
When it comes down to precision (success rate), Kyle
Korver towers over the field. But, as shown this superior
performance in this one area really does not matter,
because Korver went for so fewer 3-pts shots than the
contemporary players (Curry and Harden).
How players performance holds up with age: 3-pts success per game
17
The figures are shown as an index that uses the
average over the ages ranging from 28 to 33 years
old. And, it pegs this average at a value of 100.
Kyle Korver’s performance remained strong and
consistent until retirement. Reggie Miller’s
performance held up very well until 36 years old.
Ray Allen’s performance dropped abruptly at 34 years old, but remained steady at that level or better until retirement.
How players performance holds up with age: 3-pts success rate
18
As shown, the players 3-pts success rate holds
up very well as they age
How many good years left does Curry have?
19
Based on the aging track record of Allen, Miller, and Korver we could expect Curry to play at near top form until
36 years old. That’s another 3 seasons, as he is 33 years old. If he remains healthy and uninjured, he could still
be a relatively formidable 3-pts shooter at 37 or even 38 years old.

More Related Content

What's hot

Breaking the Barrier: Interactive Election Campaign Communication on Twitter
Breaking the Barrier: Interactive Election Campaign Communication on TwitterBreaking the Barrier: Interactive Election Campaign Communication on Twitter
Breaking the Barrier: Interactive Election Campaign Communication on Twitter
Pascal Juergens
 
Pythagorean expectation
Pythagorean expectationPythagorean expectation
Pythagorean expectation
Matt Ault
 
Tangel Trends Report
Tangel Trends ReportTangel Trends Report
Tangel Trends Report
EdwardTangel
 
Math in the News: Issue 80
Math in the News: Issue 80Math in the News: Issue 80
Math in the News: Issue 80Media4math
 
Social Engineering with Fibonacci's Numbers
Social Engineering with Fibonacci's NumbersSocial Engineering with Fibonacci's Numbers
Social Engineering with Fibonacci's NumbersDrew James
 
Why vegas is high on the knicks low on the rockets and other nba over under b...
Why vegas is high on the knicks low on the rockets and other nba over under b...Why vegas is high on the knicks low on the rockets and other nba over under b...
Why vegas is high on the knicks low on the rockets and other nba over under b...
James DeVellis
 
Cody Vito - Success Rate of Pick-Up Lines
Cody Vito - Success Rate of Pick-Up LinesCody Vito - Success Rate of Pick-Up Lines
Cody Vito - Success Rate of Pick-Up LinesCody Vito
 
atlblaze-shot-quality-cassis-presentation-pptx-3
atlblaze-shot-quality-cassis-presentation-pptx-3atlblaze-shot-quality-cassis-presentation-pptx-3
atlblaze-shot-quality-cassis-presentation-pptx-3Tyler Schanzenbach
 

What's hot (11)

Breaking the Barrier: Interactive Election Campaign Communication on Twitter
Breaking the Barrier: Interactive Election Campaign Communication on TwitterBreaking the Barrier: Interactive Election Campaign Communication on Twitter
Breaking the Barrier: Interactive Election Campaign Communication on Twitter
 
Pythagorean expectation
Pythagorean expectationPythagorean expectation
Pythagorean expectation
 
Tangel Trends Report
Tangel Trends ReportTangel Trends Report
Tangel Trends Report
 
Math in the News: Issue 80
Math in the News: Issue 80Math in the News: Issue 80
Math in the News: Issue 80
 
Hollick's Work Sample
Hollick's Work SampleHollick's Work Sample
Hollick's Work Sample
 
LAX IMPACT! White Paper
LAX IMPACT! White PaperLAX IMPACT! White Paper
LAX IMPACT! White Paper
 
FP FINAL ECON 407
FP FINAL ECON 407FP FINAL ECON 407
FP FINAL ECON 407
 
Social Engineering with Fibonacci's Numbers
Social Engineering with Fibonacci's NumbersSocial Engineering with Fibonacci's Numbers
Social Engineering with Fibonacci's Numbers
 
Why vegas is high on the knicks low on the rockets and other nba over under b...
Why vegas is high on the knicks low on the rockets and other nba over under b...Why vegas is high on the knicks low on the rockets and other nba over under b...
Why vegas is high on the knicks low on the rockets and other nba over under b...
 
Cody Vito - Success Rate of Pick-Up Lines
Cody Vito - Success Rate of Pick-Up LinesCody Vito - Success Rate of Pick-Up Lines
Cody Vito - Success Rate of Pick-Up Lines
 
atlblaze-shot-quality-cassis-presentation-pptx-3
atlblaze-shot-quality-cassis-presentation-pptx-3atlblaze-shot-quality-cassis-presentation-pptx-3
atlblaze-shot-quality-cassis-presentation-pptx-3
 

More from Gaetan Lion

DRU projections testing.pptx
DRU projections testing.pptxDRU projections testing.pptx
DRU projections testing.pptx
Gaetan Lion
 
Climate Change in 24 US Cities
Climate Change in 24 US CitiesClimate Change in 24 US Cities
Climate Change in 24 US Cities
Gaetan Lion
 
Compact Letter Display (CLD). How it works
Compact Letter Display (CLD).  How it worksCompact Letter Display (CLD).  How it works
Compact Letter Display (CLD). How it works
Gaetan Lion
 
CalPERS pensions vs. Social Security
CalPERS pensions vs. Social SecurityCalPERS pensions vs. Social Security
CalPERS pensions vs. Social Security
Gaetan Lion
 
Recessions.pptx
Recessions.pptxRecessions.pptx
Recessions.pptx
Gaetan Lion
 
Inequality in the United States
Inequality in the United StatesInequality in the United States
Inequality in the United States
Gaetan Lion
 
Housing Price Models
Housing Price ModelsHousing Price Models
Housing Price Models
Gaetan Lion
 
Global Aging.pdf
Global Aging.pdfGlobal Aging.pdf
Global Aging.pdf
Gaetan Lion
 
Cryptocurrencies as an asset class
Cryptocurrencies as an asset classCryptocurrencies as an asset class
Cryptocurrencies as an asset class
Gaetan Lion
 
Can you Deep Learn the Stock Market?
Can you Deep Learn the Stock Market?Can you Deep Learn the Stock Market?
Can you Deep Learn the Stock Market?
Gaetan Lion
 
Can Treasury Inflation Protected Securities predict Inflation?
Can Treasury Inflation Protected Securities predict Inflation?Can Treasury Inflation Protected Securities predict Inflation?
Can Treasury Inflation Protected Securities predict Inflation?
Gaetan Lion
 
How overvalued is the Stock Market?
How overvalued is the Stock Market? How overvalued is the Stock Market?
How overvalued is the Stock Market?
Gaetan Lion
 
The relationship between the Stock Market and Interest Rates
The relationship between the Stock Market and Interest RatesThe relationship between the Stock Market and Interest Rates
The relationship between the Stock Market and Interest Rates
Gaetan Lion
 
Life expectancy
Life expectancyLife expectancy
Life expectancy
Gaetan Lion
 
Comparing R vs. Python for data visualization
Comparing R vs. Python for data visualizationComparing R vs. Python for data visualization
Comparing R vs. Python for data visualization
Gaetan Lion
 
Will Stock Markets survive in 200 years?
Will Stock Markets survive in 200 years?Will Stock Markets survive in 200 years?
Will Stock Markets survive in 200 years?
Gaetan Lion
 
Standardization
StandardizationStandardization
Standardization
Gaetan Lion
 
Is Tom Brady the greatest quarterback?
Is Tom Brady the greatest quarterback?Is Tom Brady the greatest quarterback?
Is Tom Brady the greatest quarterback?
Gaetan Lion
 
Regularization why you should avoid them
Regularization why you should avoid themRegularization why you should avoid them
Regularization why you should avoid them
Gaetan Lion
 
Japan vs. US comparison on numerous dimensions
Japan vs. US comparison on numerous dimensionsJapan vs. US comparison on numerous dimensions
Japan vs. US comparison on numerous dimensions
Gaetan Lion
 

More from Gaetan Lion (20)

DRU projections testing.pptx
DRU projections testing.pptxDRU projections testing.pptx
DRU projections testing.pptx
 
Climate Change in 24 US Cities
Climate Change in 24 US CitiesClimate Change in 24 US Cities
Climate Change in 24 US Cities
 
Compact Letter Display (CLD). How it works
Compact Letter Display (CLD).  How it worksCompact Letter Display (CLD).  How it works
Compact Letter Display (CLD). How it works
 
CalPERS pensions vs. Social Security
CalPERS pensions vs. Social SecurityCalPERS pensions vs. Social Security
CalPERS pensions vs. Social Security
 
Recessions.pptx
Recessions.pptxRecessions.pptx
Recessions.pptx
 
Inequality in the United States
Inequality in the United StatesInequality in the United States
Inequality in the United States
 
Housing Price Models
Housing Price ModelsHousing Price Models
Housing Price Models
 
Global Aging.pdf
Global Aging.pdfGlobal Aging.pdf
Global Aging.pdf
 
Cryptocurrencies as an asset class
Cryptocurrencies as an asset classCryptocurrencies as an asset class
Cryptocurrencies as an asset class
 
Can you Deep Learn the Stock Market?
Can you Deep Learn the Stock Market?Can you Deep Learn the Stock Market?
Can you Deep Learn the Stock Market?
 
Can Treasury Inflation Protected Securities predict Inflation?
Can Treasury Inflation Protected Securities predict Inflation?Can Treasury Inflation Protected Securities predict Inflation?
Can Treasury Inflation Protected Securities predict Inflation?
 
How overvalued is the Stock Market?
How overvalued is the Stock Market? How overvalued is the Stock Market?
How overvalued is the Stock Market?
 
The relationship between the Stock Market and Interest Rates
The relationship between the Stock Market and Interest RatesThe relationship between the Stock Market and Interest Rates
The relationship between the Stock Market and Interest Rates
 
Life expectancy
Life expectancyLife expectancy
Life expectancy
 
Comparing R vs. Python for data visualization
Comparing R vs. Python for data visualizationComparing R vs. Python for data visualization
Comparing R vs. Python for data visualization
 
Will Stock Markets survive in 200 years?
Will Stock Markets survive in 200 years?Will Stock Markets survive in 200 years?
Will Stock Markets survive in 200 years?
 
Standardization
StandardizationStandardization
Standardization
 
Is Tom Brady the greatest quarterback?
Is Tom Brady the greatest quarterback?Is Tom Brady the greatest quarterback?
Is Tom Brady the greatest quarterback?
 
Regularization why you should avoid them
Regularization why you should avoid themRegularization why you should avoid them
Regularization why you should avoid them
 
Japan vs. US comparison on numerous dimensions
Japan vs. US comparison on numerous dimensionsJapan vs. US comparison on numerous dimensions
Japan vs. US comparison on numerous dimensions
 

Recently uploaded

T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
Nekraj Cricket Prediction
 
CAA Region II Day 1 Morning Result Accra event
CAA Region II Day 1 Morning Result Accra eventCAA Region II Day 1 Morning Result Accra event
CAA Region II Day 1 Morning Result Accra event
Kweku Zurek
 
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docxCroatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
Eticketing.co
 
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docxUkraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
Euro Cup 2024 Tickets
 
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
World Wide Tickets And Hospitality
 
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
Eticketing.co
 
TAM Sports_IPL 17_Commercial Advertising_Report.pdf
TAM Sports_IPL 17_Commercial Advertising_Report.pdfTAM Sports_IPL 17_Commercial Advertising_Report.pdf
TAM Sports_IPL 17_Commercial Advertising_Report.pdf
Social Samosa
 
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docxSpain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
Euro Cup 2024 Tickets
 
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
Eticketing.co
 
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
Eticketing.co
 
My Personal Brand Key Note presentation.
My Personal Brand  Key Note presentation.My Personal Brand  Key Note presentation.
My Personal Brand Key Note presentation.
ashleymlugaro
 
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
Eticketing.co
 
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
Eticketing.co
 
GilZeimer_SS2024_12Injuries_5-30-24.pptx
GilZeimer_SS2024_12Injuries_5-30-24.pptxGilZeimer_SS2024_12Injuries_5-30-24.pptx
GilZeimer_SS2024_12Injuries_5-30-24.pptx
Zeimer's Advertising Shoppe
 
LtCol Thomas Jasper Marine Corps Marathon.pdf
LtCol Thomas Jasper Marine Corps Marathon.pdfLtCol Thomas Jasper Marine Corps Marathon.pdf
LtCol Thomas Jasper Marine Corps Marathon.pdf
Thomas (Tom) Jasper
 
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
CIOWomenMagazine
 
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
World Wide Tickets And Hospitality
 
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
World Wide Tickets And Hospitality
 
Narrated Business Proposal for the Philadelphia Eagles
Narrated Business Proposal for the Philadelphia EaglesNarrated Business Proposal for the Philadelphia Eagles
Narrated Business Proposal for the Philadelphia Eagles
camrynascott12
 
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
Judith Chuquipul
 

Recently uploaded (20)

T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
T20 World Cup 2024 Advanced jackpot Ground, Team & Player Stats, D11 Wild Pic...
 
CAA Region II Day 1 Morning Result Accra event
CAA Region II Day 1 Morning Result Accra eventCAA Region II Day 1 Morning Result Accra event
CAA Region II Day 1 Morning Result Accra event
 
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docxCroatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
Croatia vs Spain Euro 2024 Epic Showdown in the Group Stage.docx
 
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docxUkraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
Ukraine Euro Cup 2024 Squad Sergiy Rebrov's Selections and Prospects.docx
 
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
Denmark Vs England Cole Palmer thrilled to be selected in England’s Euro Cup ...
 
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
Denmark vs England England Euro Cup squad guide Fixtures, predictions and bes...
 
TAM Sports_IPL 17_Commercial Advertising_Report.pdf
TAM Sports_IPL 17_Commercial Advertising_Report.pdfTAM Sports_IPL 17_Commercial Advertising_Report.pdf
TAM Sports_IPL 17_Commercial Advertising_Report.pdf
 
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docxSpain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
Spain's Euro Cup 2024 Selections and Croatia's Group of Death Challenge.docx
 
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
Belgium vs Slovakia Belgium announce provisional squad for Euro Cup 2024 Thib...
 
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
Turkey vs Georgia Tickets: Turkey's Road to Glory and Building Momentum for U...
 
My Personal Brand Key Note presentation.
My Personal Brand  Key Note presentation.My Personal Brand  Key Note presentation.
My Personal Brand Key Note presentation.
 
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
Spain vs Italy Spain at Euro Cup 2024 Group, Fixtures, Players to Watch and M...
 
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
Serbia vs England Tickets: Serbia Prepares for Historic UEFA Euro 2024 Debut ...
 
GilZeimer_SS2024_12Injuries_5-30-24.pptx
GilZeimer_SS2024_12Injuries_5-30-24.pptxGilZeimer_SS2024_12Injuries_5-30-24.pptx
GilZeimer_SS2024_12Injuries_5-30-24.pptx
 
LtCol Thomas Jasper Marine Corps Marathon.pdf
LtCol Thomas Jasper Marine Corps Marathon.pdfLtCol Thomas Jasper Marine Corps Marathon.pdf
LtCol Thomas Jasper Marine Corps Marathon.pdf
 
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
The Richest Female Athletes of 2024: Champions of Wealth and Excellence | CIO...
 
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
Poland Vs Austria Poland Euro Cup 2024 squad Who is Michal Probierz bringing ...
 
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
Slovenia Vs Denmark Slovenia announce preliminary squad for Euro 2024 Josip I...
 
Narrated Business Proposal for the Philadelphia Eagles
Narrated Business Proposal for the Philadelphia EaglesNarrated Business Proposal for the Philadelphia Eagles
Narrated Business Proposal for the Philadelphia Eagles
 
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
Boletin de la I Copa Panamericana de Voleibol Femenino U17 Guatemala 2024
 

Basketball the 3 pt game

  • 1. Is the 3-point-game taking over NBA basketball? November 22, 2021 Gaetan Lion
  • 2. 3-pts shots as a % of total points scored have risen quite dramatically from less than 3% in the early 80s to 34% in the most recent two seasons. However, 2-pts shots still account for over 50% of total points. Based on current trends, you would expect that 2-pts shots will still account for a much greater % of total points scored vs. 3-pts shots for the foreseeable future. Is the 3-points-game taking over NBA basketball? … Not yet. 2 Data source for this entire presentation is: basketball-reference.com
  • 3. Has NBA shooting gotten better over the years? … not much if at all… Free throws (1 pt) success rate has remained nearly perfectly flat since beginning of time series in 1979 at slightly under 80%. 3-pts success rate has remained pretty flat at around 35% since the mid 90s. 2-pts success rate is the only category that has seen a mild increase in success rate. However, the increase is a bit more pronounced if we focus on the period from the 1997 – 1998 season onward. 3
  • 4. The number of 3-points attempts per game has risen dramatically The 3-points scoring was introduced in the NBA in 1979. So, it took a while for the players and coaches to adjust their skills and strategies to leverage the benefit of this 3-points line. With time, the NBA has more aggressively adopted 3-points shooting. In the most recent two seasons, average number of 3-points shot attempts per game was 35 or above. Meanwhile, that number remained under 20 until 2013- 2014. 4
  • 5. Is 3-points skill a predictor of a team’s performance? Focusing on the 2020-2021 season data Whether you look at number of points scored, or team rankings, or Z values (scaling number of points by number of standard deviation above or below the NBA average), the results are very much the same. The 2-pts performance has a much higher correlation with the overall team performance than the 3-pts performance. The 2-pts performance explains twice as much of the variance between team performance than the 3-pts performance does (R Square values). 5
  • 6. During the 2020 – 2021 NBA season, the top 10 teams in 2-pts shots had much higher average rankings at 10.5 vs. the top 10 teams in 3-pts shots. However, 2-pts shots performance is not that deterministic either. The Spurs, number 1 on 2-pts shots rankings, are only 17 out of 30 overall. Look at the Bucks, they are outstanding in 3- pts shots, only second to the record breaking Warriors. But, in overall ranks the Bucks are only 16 out of 30. The Timberwolves who come in a close 3d in 3-pts shots, are a distant 22nd in overall rankings. Is 3-points skill a predictor of a team’s performance? A second look… Focusing on the 2020-2021 season data and focusing on the top 10 overall 6
  • 7. Difference in ranks between 3-pts and 2-pts when focusing on the top 10 NBA teams 7 We used the nonparametric Mann-Whitney test to evaluate whether the difference in average and median ranks between 3-pts and 2-pts is statistically significant. When we focus on the Median that reduces the influence of outliers such as the Warriors that are ranked 1st overall and also in 3-pts rank, the difference between the two is pretty large at 4 ranks (Median is 13.5 for the 3-pts rank and 9.5 for the 2-pts rank associated with a 2-tail p value of 0.13… not far from statistical significance at the alpha 0.10 threshold).
  • 8. Relationship between overall rank and 3-pts rank looking at all 30 NBA teams during 2020 – 2021 season 8 If the 3-pts ranking was identical to the overall ranking, the regression trend line (red line would be on a perfect diagonal). And, the regression equation would be equal to: 3-pts rank = 1.0(Overall rank) + 0. And, R Square would be equal to 1. Instead, the 3-pts rank indicates it has a really weak relationship with the Overall rank, as its Overall rank coefficient at 0.39 is closer to 0 than 1. If it was 0, it would indicate there is no relationship between the two. The slope of the red regression line would be 0. The regression line would be horizontal. As is, this regression line is not that far off from indicating there is little to no relationship between the two rankings.
  • 9. Comparing the 3-pts ranking vs. Overall ranking with the 2-pts ranking vs. Overall ranking 9 y = 0.5396x + 7.1895 R² = 0.2922 0 5 10 15 20 25 30 35 0 5 10 15 20 25 30 35 2 pts. Ranking Overall Ranking Rank: Overall vs. 2-pts ranking As shown, the 2-pts ranking vs. Overall ranking relationship (right hand graph) is a lot stronger than the 3-pts one (on the left and also on the previous slide).
  • 10. Can the Warriors survive a post-Curry era? 10 Reviewing the data, it appears that they may be able to do just fine. 2-pts still very much are the bread-and-butter of the game. When Curry does not play well, the Warriors score fewer 3-pts points and more 2- pts points. When Curry scores 40 or even 50 points per game, it makes for really great headline. But, for the Warriors whether Curry scores 40 points, or if Curry does not play well, another two or even three different team mates cumulatively score these 40 points that Curry would have scored makes no difference for the team. As we speak that is exactly what happened last night as described in the Marin IJ article.
  • 11. How to counter Stephen Curry? Let’s say in a reasonable game Stephen Curry throws 11 3-pts shots attempts, and succeeds 40% of the time, resulting in scoring about 13 points. The opposite team can counter Curry’s 3-pts performance by either raising their 2-pts success rate to 60%. Or they can counter partly by making one or more two 2-pts shots attempts vs. Curry’s 3-pts attempts. All above, appears very feasible for an NBA team. This exact same logic can be applied on how the Warriors can compensate for Curry when he is not playing. I have explored much more complicated model structures with little success. At the end of the day, this very simple format seemed the most informative. 11
  • 12. Stephen Curry’s 3-pts record 12 This serves as a good reference for the simple model presented on the previous slide.
  • 13. Stephen Curry Section: How good is Curry? How many good years left does he have? 13
  • 14. How good is Curry? Looking at 3-pts success rate… Except for the 2019 – 2020, when Curry suffered a severe left-hand injury, his record in 3-pts success rate has been much superior to the NBA average. Curry’s skill superiority is also in his ability to score baskets from close to mid-court and beyond (“from way downtown”). So, Curry has a much higher success rate while shooting often from far greater distance than other players. That’s this combination that makes Curry a magician. This amazing feat (scoring from great distance) unfortunately does not leave any footprint in the scoring data. 14
  • 15. 15 Given that Stephen Curry is still active and has a few good years left (33 years old), he is just about assured to pass Ray Allen, and stand in first place. James Harden, in 4th position, is still active (32 years old). And, is also likely to rise up the rankings.
  • 16. 16 The main point from this first table is that contemporary players such as Curry and Harden score many more 3-pts baskets per game than the other three players that belong to older generations of the game. Directionally, exact same explanatory narrative as above. The contemporary players make so many more 3-pts attempts. That’s why they are so much more productive in scoring 3-pts baskets. When it comes down to precision (success rate), Kyle Korver towers over the field. But, as shown this superior performance in this one area really does not matter, because Korver went for so fewer 3-pts shots than the contemporary players (Curry and Harden).
  • 17. How players performance holds up with age: 3-pts success per game 17 The figures are shown as an index that uses the average over the ages ranging from 28 to 33 years old. And, it pegs this average at a value of 100. Kyle Korver’s performance remained strong and consistent until retirement. Reggie Miller’s performance held up very well until 36 years old. Ray Allen’s performance dropped abruptly at 34 years old, but remained steady at that level or better until retirement.
  • 18. How players performance holds up with age: 3-pts success rate 18 As shown, the players 3-pts success rate holds up very well as they age
  • 19. How many good years left does Curry have? 19 Based on the aging track record of Allen, Miller, and Korver we could expect Curry to play at near top form until 36 years old. That’s another 3 seasons, as he is 33 years old. If he remains healthy and uninjured, he could still be a relatively formidable 3-pts shooter at 37 or even 38 years old.