τ Distance matrix for 2007 D-1 Baseball Ratings
8 Jul 2007 4:55pm (Central)

∑ Rating Comp ISR HF RPI WtdW SOWP
24002 Comp   3124 4122 5372 5690 5694
28106 ISR 3124   3090 6528 7962 7402
31254 HF 4122 3090   7770 9424 6848
37166 RPI 5372 6528 7770   7130 10366
39038 WtdW 5690 7962 9424 7130   8832
39142 SOWP 5694 7402 6848 10366 8832

Notes

  • There are 293 alternatives ranked 1-293 by each ranking, or 42778 possible pairs
  • For each {rating1,rating2} pair the τ Distance is equal to the number of swaps that a bubble-sort would require to make the rankings identical.
  • Kendall's τ correlation Wikipedia entry
  • Kendall τ Distance Wikipedia entry