Archetypal Ballers and Ternary Plots

M. Edward (Ed) Borasky (@znmeb_dfs)

February 9, 2017

Archetypal Analysis (Eugster and Leisch 2009)

The Three Archetypes

The Player Table

Top Twelve Backcourt

Player Position Team Back Front Overall
James Harden PG Houston 1.0000 0.0000 1.0000
Russell Westbrook PG Oklahoma City 0.9997 0.0000 0.9997
Stephen Curry PG Golden State 0.9991 0.0000 0.9991
Kyle Lowry PG Toronto 0.9991 0.0000 0.9991
Isaiah Thomas PG Boston 0.9991 0.0000 0.9991
Damian Lillard PG Portland 0.9988 0.0000 0.9988
Kemba Walker PG Charlotte 0.9921 0.0000 0.9921
John Wall PG Washington 0.9461 0.0528 0.9989
CJ McCollum SG Portland 0.9311 0.0677 0.9988
Eric Bledsoe PG Phoenix 0.8910 0.1080 0.9989
Kyrie Irving PG Cleveland 0.8875 0.0000 0.8875
Devin Booker SG Phoenix 0.8787 0.0753 0.9539

Top Twelve Frontcourt

Player Position Team Back Front Overall
Rudy Gobert C Utah 0.0000 1.0000 1.0000
Andre Drummond C Detroit 0.0000 0.9998 0.9998
DeAndre Jordan C LA Clippers 0.0000 0.9998 0.9998
Hassan Whiteside C Miami 0.0000 0.9998 0.9998
Dwight Howard C Atlanta 0.0000 0.9996 0.9996
Marcin Gortat C Washington 0.0000 0.9995 0.9995
Jonas Valanciunas C Toronto 0.0000 0.9808 0.9808
Tristan Thompson C Cleveland 0.0000 0.9633 0.9633
Steven Adams C Oklahoma City 0.0416 0.9578 0.9994
Gorgui Dieng PF Minnesota 0.0552 0.8975 0.9527
Mason Plumlee C Portland 0.1205 0.8789 0.9994
Robin Lopez C Chicago 0.0000 0.8743 0.8743

Top Twelve Overall #BallIsLife

Player Position Team Back Front Overall
James Harden PG Houston 1.0000 0.0000 1.0000
Rudy Gobert C Utah 0.0000 1.0000 1.0000
Andre Drummond C Detroit 0.0000 0.9998 0.9998
DeAndre Jordan C LA Clippers 0.0000 0.9998 0.9998
Anthony Davis PF New Orleans 0.2836 0.7162 0.9998
Hassan Whiteside C Miami 0.0000 0.9998 0.9998
Karl-Anthony Towns C Minnesota 0.3116 0.6882 0.9998
Russell Westbrook PG Oklahoma City 0.9997 0.0000 0.9997
Dwight Howard C Atlanta 0.0000 0.9996 0.9996
DeMarcus Cousins C Sacramento 0.7031 0.2965 0.9996
Marcin Gortat C Washington 0.0000 0.9995 0.9995
Giannis Antetokounmpo SG Milwaukee 0.4682 0.5314 0.9995

Ternary Plots (Hamilton 2016)

“A ternary plot, ternary graph, triangle plot, simplex plot, or de Finetti diagram is a barycentric plot on three variables which sum to a constant. It graphically depicts the ratios of the three variables as positions in an equilateral triangle.” - https://en.wikipedia.org/wiki/Ternary_plot

Top Twelve Backcourt

Top Twelve Frontcourt

Top Twelve Overall #ThisIsWhyWePlay

Portland Trail Blazers #RipCity

Player Position Team Back Front Overall
Mason Plumlee C Portland 0.1205 0.8789 0.9994
CJ McCollum SG Portland 0.9311 0.0677 0.9988
Damian Lillard PG Portland 0.9988 0.0000 0.9988
Maurice Harkless SF Portland 0.2623 0.4577 0.7201
Evan Turner SG Portland 0.3288 0.2489 0.5778
Allen Crabbe SG Portland 0.4594 0.0967 0.5560
Al-Farouq Aminu SF Portland 0.1738 0.3157 0.4895
Ed Davis PF Portland 0.0000 0.4419 0.4419
Noah Vonleh PF Portland 0.0000 0.3359 0.3359
Meyers Leonard PF Portland 0.1669 0.1677 0.3346
Shabazz Napier PG Portland 0.0540 0.0000 0.0540

Portland Trail Blazers

Pop Quiz!

  1. Who is the archetypal backcourt player?
  2. Who is the archetypal frontcourt player?
  3. Who are the three best Trail Blazers?

References

Eugster, Manuel J. A., and Friedrich Leisch. 2009. “From Spider-Man to Hero – Archetypal Analsis in R.” Journal of Statistical Software 30 (8): 1–23. http://www.jstatsoft.org/v30/i08/.

Hamilton, Nicholas. 2016. Ggtern: An Extension to ’Ggplot2’, for the Creation of Ternary Diagrams. https://CRAN.R-project.org/package=ggtern.

Oliver, D. 2004. Basketball on Paper: Rules and Tools for Performance Analysis. Brassey’s, Incorporated.

Shea, S.M. 2014. Basketball Analytics: Spatial Tracking. CreateSpace Independent Publishing Platform.

Shea, S.M., and C.E. Baker. 2013. Basketball Analytics: Objective and Efficient Strategies for Understanding How Teams Win. Createspace Independent Pub.