Games of Interest

© Copyright 2011, Paul Kislanko

The "interest factor" based upon computer rankings is a combination of how closely the teams are ranked and how high in the rankings they are. The ranking I use is approximately the median of the Kenneth Massey's College Football Ranking Comparison. (It differs from the median only in that when there are an even number of rankings it uses the worst of the two rankings that are averaged to form the median. In other words, it is the best rank for which a majority of the rankings have the team ranked that highly or better.)

The formula I chose is loosely based upon Potemkin's magnitude of ranking violation metric. It is:

( N + 1 - R1) × ( N + 1 - R2 )

( | R1 - R2 | + max( R1, R2 ) )

N is the number of ranked teams, and R1, R2 are the ordinal ranks of the opponents in each game. We take any game against an unranked team as being of zero interest and assign unranked teams a rank of N + 1. N + 1 -rank is therefore the number of ranked teams for which the team with rank has a better rank. So the numerator gets larger as either or both teams' ranks are better.

The denominator gets smaller (resulting in larger results) as Δrank gets smaller (teams 10 spots apart in the ranking are probably a "better game" than teams 50 spots apart) and the worst of the two teams gets better (games involving the #1 team are always interesting, but if they're playing the #117 team, less so.)

For example, #1 vs #1 is just 1202/(0+1) = 14400. #1 vs #120 is (120×1)/(119+120) = ~ ½. #25 vs #1 is (121-25)×(121-1)/(24 + 25) = ~235.1 while #25 vs #24 is (121-25)×(121-24)/(1+25) = ~358.2.

Sample interest curves

It may seem strange that #25 vs #24 has a higher "interest" factor than #25 vs #1, but just think about it for a second. We expect #1 to beat #25, but when #24 and #25 play we have no idea which is more likely to win.

I'll update the list as the rankings change.

Upcoming Games of Interest
Rankings as of 8:30AM (US Mountain) 3 September

Wk    
1 #3 Oregon vs #9 LSU at Arlington TX  
  #4 Boise State vs #33 Georgia at Atlanta GA  
  #33 Miami-Florida at #40 Maryland   (Monday)
  #38 Tulsa at #4 Oklahoma    
  #50 South Florida at #20 Notre Dame    
               
2 #22 Mississippi State at #12 Auburn    
  #28 Utah at #23 Southern California    
  #26 Nevada at #3 Oregon    
  #17 Missouri at #30 Arizona State   (Friday)
  #19 South Carolina at #33 Georgia    
  #35 Arizona at #10 Oklahoma State   (Thursday)
  #6 TCU at #36 Air Force    
  #41 Oregon State at #13 Wisconsin    
  #39 BYU at #45 Texas    
  #3 Alabama at #41 Penn State    
  #50 Boston College at #48 UCF    
  #20 Notre Dame at #48 Michigan    
  #53 Hawaii at #44 Washington    
               
3 #4 Oklahoma at #13 Florida State    
  #9 LSU at #22 Mississippi State   (Thursday)
  #27 Michigan State at #20 Notre Dame    
  #32 Pittsburgh at #32 Iowa    
  #8 Ohio State at #33 Miami-Florida    
  #5 Stanford at #35 Arizona    
  #28 Utah at #39 BYU    
  #28 West Virginia at #40 Maryland    
  #10 Oklahoma State at #38 Tulsa    
  #12 Auburn at #40 Clemson    
  #30 Arizona State at #44 Illinois    
  #44 Washington at #17 Nebraska    
  #49 Tennessee at #24 Florida    
  #13 Wisconsin vs #50 Northern Illinois at Chicago IL  
  #53 Navy at #19 South Carolina    
               
4 #12 Arkansas at #3 Alabama    
  #10 Oklahoma State at #17 Texas A&M    
  #17 Missouri at #4 Oklahoma    
  #23 Southern California at #30 Arizona State    
  #9 LSU at #28 West Virginia    
  #20 Notre Dame at #32 Pittsburgh    
  #3 Oregon at #35 Arizona    
  #38 Tulsa at #4 Boise State    
  #13 Florida State at #40 Clemson    
  #26 Nevada at #45 Texas Tech    
  #46 San Diego State at #48 Michigan    
  #48 UCF at #39 BYU   (Friday)
  #50 California at #44 Washington    
  #58 Kansas State at #33 Miami-Florida    
               
5 #17 Nebraska at #13 Wisconsin    
  #12 Arkansas vs #17 Texas A&M at Arlington TX  
  #12 Auburn at #19 South Carolina    
  #3 Alabama at #24 Florida    
  #26 Nevada at #4 Boise State    
  #27 Michigan State at #8 Ohio State    
  #22 Mississippi State at #33 Georgia    
  #35 Arizona at #23 Southern California    
  #41 Oregon State at #30 Arizona State    
  #40 Clemson at #13 Virginia Tech    
  #44 Washington at #28 Utah    
  #50 South Florida at #32 Pittsburgh   (Thursday)
  #36 Air Force at #53 Navy    
  #55 Baylor at #58 Kansas State    
               
6 #12 Auburn at #12 Arkansas    
  #8 Ohio State at #17 Nebraska    
  #24 Florida at #9 LSU    
  #30 Arizona State at #28 Utah    
  #33 Miami-Florida at #13 Virginia Tech    
  #36 Air Force at #20 Notre Dame    
  #35 Arizona at #41 Oregon State    
  #32 Iowa at #41 Penn State    
  #17 Texas A&M at #45 Texas Tech    
  #4 Oklahoma vs #45 Texas at Dallas TX  
  #6 TCU at #46 San Diego State    
  #33 Georgia at #49 Tennessee    
  #50 Boston College at #40 Clemson    
  #50 California at #3 Oregon   (Thursday)
  #52 Connecticut at #28 West Virginia    
  #58 Southern Miss at #53 Navy    
  #17 Missouri at #58 Kansas State    
               
7 #19 South Carolina at #22 Mississippi State    
  #24 Florida at #12 Auburn    
  #28 Utah at #32 Pittsburgh    
  #30 Arizona State at #3 Oregon    
  #40 Clemson at #40 Maryland    
  #39 BYU at #41 Oregon State    
  #33 Miami-Florida at #41 North Carolina    
  #46 San Diego State at #36 Air Force   (Thursday)
  #8 Ohio State at #44 Illinois    
  #10 Oklahoma State at #45 Texas    
  #48 Michigan at #27 Michigan State    
  #50 South Florida at #52 Connecticut    
  #9 LSU at #49 Tennessee    
  #23 Southern California at #50 California   (Thursday)
  #55 Baylor at #17 Texas A&M    
  #58 Kansas State at #45 Texas Tech    
               
8 #12 Auburn at #9 LSU    
  #10 Oklahoma State at #17 Missouri    
  #23 Southern California at #20 Notre Dame    
  #13 Wisconsin at #27 Michigan State    
  #41 North Carolina at #40 Clemson    
  #36 Air Force at #4 Boise State    
  #40 Maryland at #13 Florida State    
  #44 Washington at #5 Stanford    
  #45 Texas Tech at #4 Oklahoma    
  #28 Utah at #50 California    
  #49 Tennessee at #3 Alabama    
  #50 Boston College at #13 Virginia Tech    
  #52 Connecticut at #32 Pittsburgh   (Wednesday)
               
9 #13 Wisconsin at #8 Ohio State    
  #17 Missouri at #17 Texas A&M    
  #5 Stanford at #23 Southern California    
  #27 Michigan State at #17 Nebraska    
  #30 North Carolina State at #13 Florida State    
  #33 Georgia vs #24 Florida at Jacksonville FL  
  #41 Oregon State at #28 Utah    
  #44 Illinois at #41 Penn State    
  #39 BYU vs #6 TCU at Arlington TX (Friday)
  #35 Arizona at #44 Washington    
  #50 Boston College at #40 Maryland    
  #19 South Carolina at #49 Tennessee    
  #53 Navy at #20 Notre Dame    
  #55 Baylor at #10 Oklahoma State    
  #4 Oklahoma at #58 Kansas State    
               
10 #9 LSU at #3 Alabama    
  #19 South Carolina at #12 Arkansas    
  #17 Texas A&M at #4 Oklahoma    
  #28 Utah at #35 Arizona    
  #41 North Carolina at #30 North Carolina State    
  #45 Texas Tech at #45 Texas    
  #5 Stanford at #41 Oregon State    
  #3 Oregon at #44 Washington    
  #38 Tulsa at #48 UCF   (Thursday)
  #48 Michigan at #32 Iowa    
  #13 Florida State at #50 Boston College   (Thursday)
  #17 Missouri at #55 Baylor    
  #58 Kansas State at #10 Oklahoma State    
               
11 #3 Oregon at #5 Stanford    
  #6 TCU at #4 Boise State    
  #24 Florida at #19 South Carolina    
  #3 Alabama at #22 Mississippi State    
  #27 Michigan State at #32 Iowa    
  #33 Miami-Florida at #13 Florida State    
  #12 Auburn at #33 Georgia    
  #20 Notre Dame vs #40 Maryland at Landover MD  
  #17 Nebraska at #41 Penn State    
  #44 Washington at #23 Southern California    
  #45 Texas at #17 Missouri    
  #48 Michigan at #44 Illinois    
  #10 Oklahoma State at #45 Texas Tech    
  #41 Oregon State at #50 California    
  #30 North Carolina State at #50 Boston College    
  #49 Tennessee at #12 Arkansas    
  #53 Hawaii at #26 Nevada    
  #48 UCF at #58 Southern Miss    
  #17 Texas A&M at #58 Kansas State    
               
12 #22 Mississippi State vs #12 Arkansas at Little Rock AR  
  #23 Southern California at #3 Oregon    
  #35 Arizona at #30 Arizona State    
  #40 Clemson at #30 North Carolina State    
  #44 Washington at #41 Oregon State    
  #41 North Carolina at #13 Virginia Tech   (Thursday)
  #41 Penn State at #8 Ohio State    
  #13 Wisconsin at #44 Illinois    
  #45 Texas Tech at #17 Missouri    
  #4 Boise State at #46 San Diego State    
  #17 Nebraska at #48 Michigan    
  #33 Miami-Florida at #50 South Florida    
  #50 Boston College at #20 Notre Dame    
  #50 California at #5 Stanford    
  #4 Oklahoma at #55 Baylor    
  #58 Kansas State at #45 Texas    
               
13 #12 Arkansas at #9 LSU   (Friday)
  #3 Alabama at #12 Auburn    
  #20 Notre Dame at #5 Stanford    
  #13 Florida State at #24 Florida    
  #32 Pittsburgh at #28 West Virginia   (Friday)
  #32 Iowa at #17 Nebraska   (Friday)
  #40 Maryland at #30 North Carolina State    
  #40 Clemson at #19 South Carolina    
  #41 Penn State at #13 Wisconsin    
  #41 Oregon State at #3 Oregon    
  #45 Texas at #17 Texas A&M   (Thursday)
  #8 Ohio State at #48 Michigan    
  #50 Boston College at #33 Miami-Florida   (Friday)
  #50 California at #30 Arizona State   (Friday)
  #45 Texas Tech vs #55 Baylor at Arlington TX  
               
14 #4 Oklahoma at #10 Oklahoma State    
  #28 West Virginia at #50 South Florida   (Thursday)
  #39 BYU at #53 Hawaii    
  #45 Texas at #55 Baylor