Yet Another Crazy Idea

Computer Assisted Rankings?
November 17, 2018

I don't include rankings based upon human polls in my analysis for the technical reason that they never rank all of the teams, and because my subjective opinion is we can't even do a good job ranking 25. By the time anyone gets to about the 15th we are either just guessing or relying on someone else's opinion.

I have to give some credit to the committee powers-that-be, though. In my September 9, 2014 article I suggested that the committee would be better served by "approval voting" than the Borda-based system they were using. This year they are actually using a variation of that. From collegefootballplayoff.com:

  1. Each committee member will create a list of the 30 teams he or she believes to be the best in the country, in no particular order. Teams listed by three or more members will remain under consideration. At the conclusion of any round, other teams can be added to the group of teams under consideration by a vote of three or more members.
  2. Each member will list the best six teams, in no particular order. The six teams receiving the most votes will comprise the pool for the first ranking step. This is known as the “listing step.”
  3. In the first ranking step, each member will rank those six teams, one through six, with one being the best. The best team in each member’s ranking will receive one point; second-best, two points, etc. The members’ rankings will be added together and the three teams receiving the fewest points will become the top three seeds. The three teams that were not seeded will be held over for the next ranking step.
  4. Each member will list the six best remaining teams, in no particular order. The three teams receiving the most votes will be added to the three teams held over to comprise the next ranking step.
  5. Steps No. 3 and 4 will be repeated until 25 teams have been seeded. There will be seven rounds of voting; each round will consist of a “listing step” and a “ranking step.”
While I still find some of their ultimate ranks a bit odd, I kind of approve of the method by which they construct their top 25.

I still think computers do a better job of ranking teams if for no other reason than it is no harder for them to rank 130 than it is to rank 25. And I still think using more computers is better, just as having more human voters is better.

A few weeks ago I was having an email dialog with a member of a rankings-related discussion group about a particular team, and he wrote "The computer I like best has them #n in the predictor rating" and something about that phrase stuck. Today while I was trudging through what the NWS calls "wintry mix" in the grocery store parking lot I realized that what he'd done (pick the computer rating that he "likes best") was a hint that there's a better way to incorporate computer rankings into the human process.

If my observation that humans aren't very good at ranking the top 25 (or however many) teams is correct, the reason is that it is like a "fill in the blank" test. What if instead we made it a multiple choice exam by instead asking them to pick which of a number of computer rankings looks "most like" what they think they'd come up with?

So, give them this list and ask them to list one or more of the computer rankings they "like." I made it a top 20 just for presentation, it could list all teams, but really no one looks even as far as 20 down the list except us rating geeks. After all the humans have selected the lists they are comfortable with, use however many of those computer rankings there are using any method you like to select a "top however-many." (This list is based upon the 108 computer rankings after the games of 10 Novermber, week 11. All of the rankings will be different after week 12's games.)

 
BUCK
is the best rank for which 50%+1 of the computers have the team ranked at worst the rank
MCON
is the ordinal rank based upon the average of all the computer rankings
ranking identifier
The computer rankings are ordered from most to least like the Bucklin rank
Rate#1#2#3#4#5#6#7#8#9#10#11#12#13#14#15#16#17#18#19#20
BUCKAlabamaClemsonGeorgiaMichiganNDOklahomaLSU
OSU
WVUCFWash StPSUFloridaMS StKentuckyMizzou
MCONAlabamaClemsonGeorgiaMichiganNDOklahomaLSUOSUWVPSUUCFWash StFloridaMS StUtahWashingtonKentuckyTexasMizzouIowa St
WMVAlabamaClemsonGeorgiaMichiganOklahomaNDWVLSUOSUUCFFloridaPSUKentuckyWash StMS StMizzouUtah StCincinnatiTAMIowa St
LAZAlabamaClemsonGeorgiaMichiganNDOklahomaOSUWVLSUWash StPSUFloridaUtahKentuckyUtah StUCFFresno StTexasWashingtonCincinnati
COFAlabamaClemsonGeorgiaMichiganOklahomaWVNDLSUOSUUCFWash StPSUUtah StFloridaCincinnatiKentuckyFresno StMS StIowa StMizzou
PAYAlabamaClemsonGeorgiaMichiganNDOklahomaLSUWVOSUUCFPSUFloridaUtah StMS StWash StKentuckyCincinnatiMizzouFresno StTAM
LABAlabamaClemsonNDGeorgiaMichiganOklahomaLSUOSUWVUCFWash StPSUCincinnatiTexasKentuckyFloridaUtah StSyracuseBoiseWashington
RTAlabamaClemsonGeorgiaMichiganOklahomaNDLSUPSUOSUWVUCFMS StMizzouFloridaWash StTAMUtahFresno StUtah StKentucky
ASHAlabamaClemsonGeorgiaMichiganNDOklahomaLSUWVOSUWash StFloridaKentuckyPSUUCFTAMUtahMS StMizzouSyracuseS Car
JTRAlabamaClemsonGeorgiaMichiganNDOklahomaOSULSUWVUCFPSUWash StUtah StFresno StCincinnatiFloridaMizzouMS StIowa StSyracuse
RUDAlabamaGeorgiaClemsonNDMichiganLSUWVOklahomaKentuckyUCFOSUFloridaWash StMizzouTAMMS StPSUUtah StSyracuseS Car
ARGAlabamaClemsonGeorgiaMichiganNDLSUOSUOklahomaUCFWVCincinnatiMS StPSUFloridaWash StFresno StKentuckyUtah StWashingtonUAB
RWPAlabamaGeorgiaClemsonMichiganNDLSUOklahomaOSUWVUCFWash StPSUKentuckyFloridaMizzouIowaWashingtonUtahFresno StTexas
FASAlabamaClemsonNDGeorgiaMichiganOklahomaUCFLSUOSUWVPSUFloridaWash StUtah StCincinnatiKentuckyMS StSyracuseBuffaloTAM
KPKAlabamaClemsonGeorgiaMichiganNDOklahomaWVOSULSUPSUUCFWash StUtahFloridaS CarTexasIowa StKentuckyMSUMizzou
MTNAlabamaClemsonGeorgiaMichiganOklahomaNDWVOSULSUWash StPSUFloridaUtahKentuckyUCFIowa StMS StTexasMizzouTAM
ACUAlabamaClemsonGeorgiaMichiganNDOklahomaLSUOSUWVWash StPSUUCFTexasUtahWashingtonIowa StKentuckyMizzouFloridaSyracuse
DIIAlabamaClemsonGeorgiaNDMichiganLSUUCFOklahomaWVOSUFloridaKentuckyMizzouWash StMS StTAMSyracusePSUS CarAuburn
FMGAlabamaClemsonGeorgiaMichiganNDOklahomaWash StLSUOSUWVUtahPSUFloridaUCFKentuckyWashingtonStanfordIowa StCincinnatiIowa
MVGClemsonGeorgiaAlabamaNDMichiganOklahomaLSUWVUCFWash StOSUFloridaKentuckyUtahPSUWashingtonSyracuseMS StCincinnatiTexas
HATAlabamaGeorgiaClemsonNDOklahomaMichiganWVLSUOSUUCFWash StFloridaKentuckyPSUTexasUtahCincinnatiArmyIowa StMizzou
JNKAlabamaClemsonGeorgiaNDMichiganOklahomaLSUOSUWVUCFFloridaPSUWash StCincinnatiKentuckyArmyBoiseMS StSyracuseUtah
SELAlabamaGeorgiaClemsonMichiganNDLSUFloridaKentuckyWVOklahomaOSUMS StTAMMizzouS CarWash StUCFPSUAuburnTEN
KEEAlabamaClemsonGeorgiaOklahomaMichiganNDWVLSUWash StOSUTAMTexasKentuckyIowa StMizzouUCFMS StFloridaUtahCincinnati
DOLAlabamaGeorgiaClemsonNDLSUMichiganOklahomaOSUWVWash StUCFKentuckyFloridaPSUIowa StTexasMizzouTAMCincinnatiUtah St
Rate#1#2#3#4#5#6#7#8#9#10#11#12#13#14#15#16#17#18#19#20
BIHAlabamaClemsonNDGeorgiaMichiganLSUOklahomaUCFWVOSUFloridaKentuckyWash StPSUCincinnatiMizzouBuffaloTAMMS StArmy
HENClemsonAlabamaMichiganNDGeorgiaOklahomaWVOSUWash StLSUUCFPSUUtahSyracuseFloridaTexasWashingtonCincinnatiUtah StStanford
ENGAlabamaClemsonGeorgiaMichiganNDWVOSULSUWash StOklahomaUtahPSUUCFFloridaKentuckyWashingtonStanfordIowa StTexasCincinnati
ANDAlabamaGeorgiaNDClemsonMichiganOklahomaOSULSUWVUCFFloridaWash StKentuckyPSUS CarCincinnatiTexasMS StIowa StBoise
PGHAlabamaNDClemsonGeorgiaMichiganLSUOklahomaWVOSUWash StFloridaUCFKentuckyPSUMizzouS CarMS StUtahSyracuseTAM
DWIAlabamaClemsonGeorgiaMichiganNDOklahomaWVLSUWash StOSUUCFFloridaUtahIowa StPSUSyracuseKentuckyWashingtonTexasMizzou
SGRAlabamaGeorgiaClemsonMichiganOklahomaNDLSUUCFWVOSUFresno StPSUWash StUtah StIowaMizzouCincinnatiIowa StKentuckyTexas
HKBAlabamaClemsonGeorgiaOklahomaMichiganWVLSUNDOSUFloridaUCFMizzouKentuckyTAMMS StPSUIowa StUtah StWash StS Car
HOWAlabamaClemsonGeorgiaNDMichiganLSUOklahomaOSUWash StCincinnatiPSUFloridaFresno StKentuckyTAMUCFSyracuseUtah StWVBoise
MASAlabamaClemsonGeorgiaMichiganNDLSUOklahomaOSUWVUCFWash StFloridaMizzouPSUKentuckyTAMMS StSyracuseAuburnIowa St
KLKAlabamaClemsonGeorgiaMichiganWVNDOklahomaLSUOSUWash StPSUKentuckyUtahIowaFloridaWashingtonTAMIowa StFresno StTexas
WLKAlabamaGeorgiaClemsonMichiganOklahomaWVNDLSUWash StMizzouOSUUCFPSUFloridaFresno StMS StIowaUtahKentuckyUtah St
ABCClemsonNDAlabamaGeorgiaMichiganOklahomaLSUWVOSUWash StUCFFloridaKentuckySyracusePSUUtahTAMS CarMizzouStanford
RTHAlabamaGeorgiaClemsonLSUNDMichiganFloridaKentuckyMS StMizzouTAMUCFWVS CarOklahomaAuburnOSUTENWash StPSU
HNLAlabamaGeorgiaClemsonMichiganOklahomaNDWVLSUWash StOSUIowaUtahFresno StMizzouPSUWashingtonIowa StUCFKentuckyStanford
ISRClemsonAlabamaNDGeorgiaMichiganOklahomaWVWash StLSUOSUUCFUtahPSUSyracuseFloridaKentuckyTexasStanfordIowa StCincinnati
SMSAlabamaClemsonMichiganGeorgiaOklahomaNDOSUWVLSUWash StPSUUtahMS StWashingtonIowa StTexasMizzouIowaFresno StFlorida
KRAAlabamaNDClemsonGeorgiaMichiganUCFLSUOklahomaOSUFloridaWVKentuckyWash StPSUBuffaloSyracuseMS StCincinnatiTAMMizzou
WOBAlabamaNDClemsonGeorgiaMichiganLSUUCFOklahomaWVOSUFloridaWash StKentuckySyracusePSUCincinnatiBuffaloMS StArmyTAM
WILAlabamaNDGeorgiaClemsonLSUMichiganFloridaKentuckyUCFMS St
TAM
WV
S Car
MizzouOklahomaOSUTENAuburnWash StPSU
MGSAlabamaClemsonNDGeorgiaMichiganOklahomaOSUWash StUCFWVLSUBoisePSUCincinnatiUtahUtah StFresno StFloridaArmyWashington
BOWAlabamaNDClemsonGeorgiaMichiganOklahomaOSUWVWash StPSULSUUtahMSUWashingtonUCFPittIowa StTexasFloridaNW
BSSAlabamaClemsonNDOklahomaGeorgiaLSUMichiganWash StOSUWVUCFUtahTexasWashingtonCincinnatiSyracuseKentuckyPSUFloridaBoise
HUFAlabamaClemsonGeorgiaMichiganOklahomaLSUNDWVUCFUtah StPSUFresno StCincinnatiMS StOSUTAMWash StFloridaMizzouApp. St.
MARAlabamaClemsonGeorgiaMichiganNDOklahomaUtah StWVOSUFresno StWash StLSUUCFMS StApp. St.CincinnatiIowa StUtahBuffaloBoise
Rate#1#2#3#4#5#6#7#8#9#10#11#12#13#14#15#16#17#18#19#20
PPPAlabamaClemsonGeorgiaNDMichiganOklahomaLSUOSUWash StWVPSUUCFFloridaKentuckyArmyTexasUtahIowa StStanfordWashington
COLAlabamaNDClemsonGeorgiaMichiganOklahomaLSUOSUUCFWVWash StFloridaCincinnatiPSUArmyBuffaloBoiseKentuckySyracuseUtah St
CGVClemsonAlabamaNDMichiganOklahomaOSUGeorgiaWVWash StUCFLSUUtah StPSUWashingtonFresno StSyracuseBoiseUtahBCIowa St
BILAlabamaNDClemsonGeorgiaMichiganLSUOklahomaOSUWash StWVUCFFloridaPSUBoiseMS StTexasUtah StWashingtonCincinnatiIowa St
WWPNDGeorgiaAlabamaMichiganClemsonWash StOklahomaLSUOSUWashingtonUtahWVKentuckyFloridaPSUTexasNWStanfordUCFMSU
BBTAlabamaClemsonGeorgiaMichiganNDUCFOklahomaUtah StLSUOSUFresno StWVWash StPSUCincinnatiSyracuseApp. St.UtahMizzouWashington
WOLAlabamaClemsonNDGeorgiaMichiganLSUOklahomaOSUWVUCFWash StFloridaKentuckySyracuseArmyPSUBuffaloCincinnatiUtah StTAM
LOGAlabamaClemsonGeorgiaMichiganOklahomaWVFresno StNDLSUOSUMS StUtah StPSUMizzouApp. St.TAMUCFIowaIowa StCincinnati
KNTAlabamaClemsonNDGeorgiaMichiganOklahomaLSUOSUWash StWVPSUUCFBoiseFloridaCincinnatiTexasArmyKentuckyBuffaloWashington
YCMAlabamaClemsonMichiganGeorgiaNDUCFWVOklahomaLSUOSUUtah StFresno StWash StPSUCincinnatiMizzouBoiseSyracuseMS StUtah
RTPClemsonAlabamaGeorgiaNDOklahomaMichiganLSUOSUWVWash StUCFPSUSyracuseTexasWashingtonKentuckyFloridaUtah StMS StIowa St
WELAlabamaClemsonNDGeorgiaMichiganOklahomaUCFLSUOSUWVWash StCincinnatiFloridaPSUArmyBoiseBuffaloSyracuseKentuckyUAB
BWEAlabamaClemsonGeorgiaMichiganWVOklahomaLSUMizzouMS StNDOSUFloridaUtah StPSUTAMFresno StUCFIowa StKentuckyAuburn
SORAlabamaGeorgiaClemsonNDOklahomaLSUWVMichiganFloridaKentuckyOSUUCFMizzouTexasIowa StS CarMS StWash StUtahWashington
MCKAlabamaNDClemsonGeorgiaMichiganLSUOklahomaWVOSUUCFWash StKentuckyFloridaSyracuseMS StPSUTexasAuburnTAMIowa St
KELAlabamaClemsonGeorgiaMichiganNDOklahomaUCFOSULSUWash StWVCincinnatiFresno StUABUtah StPSUBoiseArmyBuffaloApp. St.
LSDClemsonAlabamaNDGeorgiaMichiganOklahomaLSUOSUWVWash StUCFCincinnatiSyracusePSUFloridaUABBuffaloUtah StArmyBoise
DPAlabamaClemsonGeorgiaMichiganWVOklahomaFresno StOSULSUMizzouIowaMS StPSUNDIowa StWash StTAMUtahFloridaWashington
MGNAlabamaClemsonNDMichiganOklahomaGeorgiaUCFLSUOSUWVWash StBoisePSUUtah StArmyCincinnatiFresno StTexasUABIowa St
JNGAlabamaClemsonNDMichiganGeorgiaOklahomaWash StUCFLSUWVOSUUtah StSyracuseIowa StFloridaTexasPSUCincinnatiBuffaloUAB
LAWAlabamaClemsonMichiganGeorgiaMS StFresno StLSUOSUWVPSUIowaNDFloridaMizzouOklahomaKentuckyWashingtonUtahCincinnatiAuburn
BCMAlabamaMichiganGeorgiaClemsonWVOklahomaLSUNDMS StMizzouUtah StPSUOSUIowaFresno StFloridaTAMIowa StWash StKentucky
JJKAlabamaNDClemsonGeorgiaMichiganUCFOklahomaOSULSUWVWash StCincinnatiBuffaloUtah StUABArmyPSUBoiseFloridaSyracuse
BMCAlabamaClemsonGeorgiaMichiganWVOklahomaLSUMS StMizzouOSUPSUUtah StFloridaTAMFresno StNDKentuckyIowaIowa StS Car
MJSAlabamaClemsonNDGeorgiaMichiganOklahomaUCFOSULSUWVWash StCincinnatiBuffaloBoiseArmyUtah StUABPSUFloridaSyracuse
Rate#1#2#3#4#5#6#7#8#9#10#11#12#13#14#15#16#17#18#19#20
TPRAlabamaGeorgiaClemsonMichiganLSUNDOklahomaMS StTAMWVUCFOSUMizzouAuburnFloridaKentuckySyracuseWashingtonIowaPSU
RMENDAlabamaClemsonMichiganUCFGeorgiaLSUMizzouFloridaOklahomaS CarMS StKentuckyOSUAuburnTAMBuffaloWVPSUCincinnati
GLDAlabamaClemsonGeorgiaNDMichiganOklahomaLSUUCFWVOSUPSUWash StBoiseArmyGeorgia SoCincinnatiUtah StBuffaloFresno StUAB
TRPAlabamaClemsonMichiganGeorgiaOklahomaOSUPSUWVNDMS StLSUFresno StTAMWashingtonUtah StUCFMizzouAuburnIowaUtah
MDSAlabamaClemsonGeorgiaNDMichiganOklahomaUCFOSUPSULSUWVApp. St.BoiseWash StUtah StFresno StArmyCincinnatiTroyUAB
DESAlabamaClemsonNDMichiganGeorgiaOklahomaUCFWash StOSUWVLSUPSUWashingtonFloridaTexasIowa StUtah StBCKentuckyMS St
AWSAlabamaNDClemsonMichiganGeorgiaOklahomaLSUPSUOSUMSUFloridaTexasBoiseKentuckyIowaMS StWash StUtahArmyPitt
CTWAlabamaClemsonGeorgiaOklahomaNDMichiganOSUUCFPSUWash StLSUIowa StWVUtahWashingtonFresno StMS StMSUBCUtah St
SAGAlabamaClemsonMichiganGeorgiaOklahomaOSUWVPSUNDWashingtonLSUMS StIowaUtahWash StTAMFresno StTexasAuburnMizzou
TFGAlabamaClemsonMichiganGeorgiaOSUFresno StOklahomaPSUNDIowaLSUWVWashingtonApp. St.MS StUCFUtahUABBoiseAuburn
MORAlabamaClemsonGeorgiaMichiganOklahomaWVOSULSUUtah StMS StIowa StNDTexas TechMizzouTAMTexasFresno StAuburnBoisePSU
GBEAlabamaClemsonNDGeorgiaMichiganOklahomaLSUOSUWVUCFWash StBoiseArmyPSUCincinnatiFloridaUtahSyracuseTexasBuffalo
DOKAlabamaClemsonMichiganGeorgiaOklahomaOSUWVNDPSUMS StLSUWashingtonFresno StUtahWash StAuburnTAMIowaUtah StUCF
KENClemsonAlabamaMichiganGeorgiaNDOklahomaUCFOSULSUWash StBoiseWVCincinnatiUABPSUUtah StUtahBuffaloSyracuseWashington
DEZAlabamaGeorgiaMichiganClemsonOSULSUTAMOklahomaBoiseAuburnIowa StMS StPSUKentuckyMSUFloridaApp. St.NDIowaFresno St
LMCAlabamaClemsonGeorgiaMichiganOklahomaLSUMizzouMS StOSUFloridaPSUKentuckyNDTAMWVUtah StIowaFresno StAuburnTexas
DCIAlabamaClemsonGeorgiaOSUNDMichiganOklahomaLSUMS StWash StIowa StWVPSUUtahPittNWTexasUCFMSUSyracuse
SFXAlabamaClemsonMichiganOklahomaGeorgiaOSUND
WV
LSU
PSU
MS St
Washington
UCF
Utah
Texas
Fresno St
Iowa St
Mizzou
Wash St
Utah St
Iowa
BC
OK St
FPIAlabamaClemsonGeorgiaMichiganOklahomaOSUNDPSUWVWashingtonMS StLSUUtahTAMIowaMizzouAuburnWash StFresno StTexas
FEIAlabamaGeorgiaClemsonOklahomaMichiganNDUCFWashingtonOSUMSULSUWVPSUIowaWash StMizzouFresno StIowa StCincinnatiMS St
PFZAlabamaClemsonMichiganGeorgiaMS StFresno StOSUNDWVUtahCincinnatiOklahomaMiamiLSUWash StBoiseUCFUtah StIowaTAM
KLNAlabamaClemsonGeorgiaMichiganOSUNDOklahomaLSUWashingtonPSUWVMS StWash StAuburnTexasUtahIowaStanfordMSUIowa St
CSLNDClemsonMichiganAlabamaOSUUCFOklahomaGeorgiaWash StWVCincinnatiUABUtah StSyracuseBoiseLSUBuffaloTroyPSUArmy
BRNAlabamaClemsonMichiganOklahomaGeorgiaWVOSUPSUNDIowa StLSUMS StTexas TechTexasMizzouIowaUtahMSUUtah StWash St
KAMAlabamaClemsonGeorgiaOklahomaMichiganOSUPSUNDWVLSUIowaUtahTexasWashingtonUCFAuburnMS StWISTAMOK St
Rate#1#2#3#4#5#6#7#8#9#10#11#12#13#14#15#16#17#18#19#20
BASAlabamaClemsonGeorgiaOklahomaMichiganOSUPSUWVWashingtonMS StLSUUCFNDIowaMizzouAuburnOK StUtahStanfordIowa St
MRKClemsonAlabamaNDGeorgiaMichiganUCFOklahomaLSUWVBuffaloCincinnatiWash StOSUArmyUtah StPSUUABSyracuseBoiseFresno St
PIGAlabamaClemsonMichiganGeorgiaNDOSUOklahomaLSUMS StIowa StWVMizzouMSUTexasPSUPittWash StASUSyracuseTexas Tech
PIRAlabamaClemsonMichiganGeorgiaNDOSUOklahomaWashingtonMS StLSUMizzouWVPSUMSUBCAuburnUtahIowaIowa StGT
S@PAlabamaClemsonGeorgiaMichiganOklahomaNDUCFOSUFresno StUtah StWashingtonWVPSUApp. St.UtahWash StWISLSUMS StAuburn
RBAAlabamaClemsonGeorgiaMichiganMS StIowaOSULSUOklahomaPSUUtahWashingtonWVNDUCFIowa StFresno StAuburnMizzouWIS
BDFAlabamaClemsonMichiganGeorgiaOklahomaWVNDOSUIowa StMS StMizzouTexasLSUPittWash StUtahUtah StTexas TechIowaFresno St
NUTAlabamaOklahomaClemsonUCFNDGeorgiaLSUOSUTexasNWIowaAuburnIowa StMS StMichiganPSUGTWVOK StWashington
ATCAlabamaClemsonNDMichiganUCFOklahomaGeorgiaBoiseOSUWash StBuffaloIowa StLSUUtah StNIUTroyArmyApp. St.UABCincinnati
RTBAlabamaNDClemsonTAMMichiganOSUGeorgiaKentuckyWVPSUUCFFloridaS CarMizzouLSUTENMS StAuburnNWOle Miss

There are some nice features about this approach. Since the human is selecting the computer ranking(s) she is in most agreement with, there can be no criticism of her subjective rankings and there's no need to ask her to list the criteria by which she made her choices. By choosing the computer ranking(s) she most agrees with, we can know what the criteria are because there is an objective implementation of them. And since every voter can select more than one computer ranking, when she gets to the "I don't know which of x and y should be #n, she can just find lists that match her 1st through n-1th and pick one that has x before y and one with y before x as nth. There may even be one that matches 1 to n and has x and y tied.

And of course if they don't like any of the rankings they could put in a "write-in" ranking of their own. Anybody who could deduce that none of the 108 computer rankings wasn't quite right probably should be considered a computer rating.

© Copyright 2018, Paul Kislanko
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