05/04/2005: "Amazing Race metrics update"
Next week is the last week of The Amazing Race. I haven't updated my metrics in a while, so I thought I'd do that now so that everyone (including my brother who I'm competing against) will know the current situation going into the last week (see here for formulas and goals):
Ranking stability week #1: Ken 1.81 Briain 1.27
Ranking stability week #2: Ken 1.20 Brian 2.20
Ranking stability week #3: Ken 1.00 Brian 2.00
Ranking stability week #4: Ken 0.29 Brian 0.29
Ranking stability week #5: Ken 0.50 Brian 1.00
Ranking stability week #6: Ken 0.80 Brian 0.80
Ranking stability week #7: Ken 0.00 Briain 0.00
Ranking stability week #8: Ken 0.25 Brian 0.25
Ranking stability week #9: Ken 0.25 Brian 0.00
Ranking stability week #10: Ken 0.00 Brian 0.25
Season ranking stability: Ken 0.43 Brian: 0.68
Philimination accuracy: Ken: 2.50 Brian: 2.13
Skill Score: Ken 1.08 Brian 1.45
As you can see, Brian has been slightly better at predicting who's gone next while I have been able to be fairly accurate without as much thrashing in my rankings. So who's going to win? Well, here are the scenarios (Ranking stability is now completed):
Finishing order of 1. Rob and Amber, 2. Uchenna and Joyce, 3. Ron and Kelly (My current ordering):
Philimination accuracy: Ken: 1.82 Brian: 1.73
Skill Score: Ken 0.78 Brian 1.18
Finishing order of 1. Uchenna and Joyce, 2. Rob and Amber, 3. Ron and Kelly (Brian's current ordering):
Philimination accuracy: Ken: 2.00 Brian: 1.55
Skill Score: Ken 0.86 Brian 1.05
Finishing order of 1. Rob and Amber, 2. Ron and Kelly, 3. Uchenna and Joyce:
Philimination accuracy: Ken: 2.00 Brian: 1.91
Skill Score: Ken 0.86 Brian 1.30
Finishing order of 1. Uchenna and Joyce, 2. Ron and Kelly, 3. Rob and Amber:
Philimination accuracy: Ken: 2.18 Brian: 1.73
Skill Score: Ken 0.94 Brian 1.18
Finishing order of 1. Ron and Kelly, 2. Rob and Amber, 3. Uchenna and Joyce:
Philimination accuracy: Ken: 2.18 Brian: 1.91
Skill Score: Ken 0.94 Brian 1.30
Finishing order of 1. Ron and Kelly, 2. Uchenna and Joyce, 3. Rob and Amber:
Philimination accuracy: Ken: 2.18 Brian: 1.91
Skill Score: Ken 0.94 Brian 1.30
So, as you can see, I win in all scenarios. One could make a number of arguments about the metrics being unfair but I don't see many that are. About the only thing that could be argued is that the Skill Score should be additive as opposed to multiplicative. If that were the case, I'd win in a number of the 2 of the 6 scenarios. Because of how small the stability numbers are, that would be putting more emphasis on finishing order as opposed to stability so I think my formulas well represent performance over the season.