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Leagues and playoffs

The league and playoff systems in common use tend to prevent interesting games from happening. The Football World Cup shows how things can go wrong and old-school college football shows how things can go right. We summarize below and expand on each point in the chapters that follow.

Ideally, the regular season should be as important as the postseason. Successful examples include college football and the NFL and unsuccessful examples include college basketball and the NBA. The World Cup qualification would be more compelling if it affected the World Cup final.

Leagues where teams can schedule their own games include college football and basketball. In most other leagues the matchups are dictated by the league.

Many sports are dominated by oligarch leagues and plebe leagues have a hard time getting attention. Examples of oligarch leagues include the college football 5 power conferences, the English Football Premiere League, and the NFL.

Knockout tournaments deliver few games between top teams, and even fewer if there are upsets. In the history of the World Cup the two most successful teams are Germany and Brazil and they have played only once.

Group stages suffer the same perils as knockout stages, plus they throw away information. A team can win every group game then lose in the first round of the knockout stage.

College League of Legends is a new sport and the structure of the regular season and playoffs changes every year.


American football playoffs

In American football, the regular season matters. Each regular season win tends to increase the playoff seed by 1, and the playoff seed matters because it determines home field advantage and wildcard byes.

The following table gives the average number of regular season wins for each seed, using data from 2007-2016. The regular season has 16 games.

Seed   Wins   Privilege

  1    13.3   Home field for the semifinal and quarterfinal.  Wildcard game bye.
  2    12.1   Home field for the quarterfinal.                Wildcard game bye.
  3    10.9   Home field for the wildcard game.
  4     9.2   Home field for the wildcard game.
  5    11.0
  6    10.0
Seeds 1-4 go to division winners and seeds 5-6 go to the best records among the remaining teams.

The frozen tundra of Lambeau Field, Green Bay, Wisconsin

Home field advanage can be especially important for a cold-weather team like the Packers.


National Basketball Association playoffs

In the NBA, the regular season has little impact on the playoffs. For example, suppose the Milwaukee Bucks are the best team and they win the conference and gain the #1 seed. In the conference playoffs they can expect to face the 8th, 4th, and 2nd seeds. If the Bucks decide to slack and place 8th, they can expect to face the 1st, 2nd, and 3rd seeds in the playoffs. But since the Bucks are the best team the 1st seed is the 2nd best team, the 2nd seed is the 3rd best team, etc.

                                                      Rank of teams played in playoffs

If the Bucks play hard and place 1st in the conference:   2nd, 4th, and 8th
If the Bucks slack and place 8th in the conference:       2nd, 4rd, and 3rd
No matter what the Bucks will face the 2nd and 4th ranked team. The only difference between playing hard and slacking is that they have to play the 3rd ranked team instead of the 8th ranked team.

The following table gives the average number of games won by each seed, using data from 2009-2016. The regular season has 82 games. The difference between the 1st and 8th seeds is typically 20 games. That's a lot of slack.

Seed   Wins

  1    60.8
  2    55.9
  3    52.2
  4    49.9
  5    47.6
  6    45.2
  7    43.7
  8    41.9

International football


Strength of regions

For the previous 6 World Cups (1994-2014), we tally each team's results and then sum over the teams from each region. Teams from Europe and South America tend to dominate the quarterfinals.

            Qualifying     Round   Round   Quarter   Semi    Final   Win
              places       of 32   of 16    final    final

Europe          13           92      51      30       16       8      4
South America    4.5         28      21      13        7       4      2
Asia             4.5         23       6       1        1
North America    3.5         19      11       2
Africa           5           28       7       2
Oceana            .5          2

Tournaments

                                     Knockout  Group  Teams  Round  Previous  Next
                                      stage    stage   per   robin
                                      teams    teams  group

World             World Cup               16    32      4      1     2014    2018

Europe            European Cup            16    24      4      1     2016    2020
Europe            UEFA Nations League      4    12      3      2        -    2019
South America     Copa America             8    12      4      1     2015    2019
North America     CONCACAF Gold Cup        8    12      4      1     2017    2019
N + S America     Copa America Centenario  8    16      4      1     2016    2020
Asia              Asian Cup                8    16      4      1     2015    2017
Oceana            OFC Nations Cup          4     8      4      1     2016    2020
Africa            Africa Cup of Nations    8    16      4      1     2017    2019

Europe            World Cup Qualifying     0    54      6      2     2017    2021
South America     World Cup Qualifying     0    10     10      2     2017    2021
North America     World Cup Qualifying     0     6      6      2     2017    2021
Asia              World Cup Qualifying     0    12      6      2     2017    2021
Oceana            World Cup Qualifying     0     6      3      2     2017    2021
Africa            World Cup Qualifying     0    20      4      2     2017    2021

Central America   Copa Centroamericana     2     7      3.5    1     2014    2018
Caribbean         Caribbean Cup            2     8      4      1     2014    2018
Asia East         EAFF E-1 Football Champ  0     4      4      1     2017    2019
Asia South        SAFF Championship        4     7      3.5    1     2015    2018
Asia ASEAN        AFF Championship         4     8      4      1     2016    2018
Asia West         WAFF Championship        4     9      3      1     2014    Postponed

Round robin:  Number of times a team plays the other teams in the group.


Group death

Qualifying for each region is a double round robin group. The fraction of teams from each group that qualify is:

             Teams/group   Teams/group   Fraction of teams
             that qualify                that qualify

North America     3.5           6           .58
South America     5            10           .50
Asia              2.5           6           .42
Europe            1.5           6           .25
Africa            1             4           .25
Oceana             .5           3           .17

The larger the fraction of qualifying teams the better. If the fraction is low then good teams are at risk of not qualifying. In 2018 Italy and The Netherlands failed to qualify.

The regional qualifier with the most games between elite teams is South America.

For Africa, qualification is largely luck and the best teams don't play each other.


Regions

For the past 9 World Cups, the number of times each team qualified is:

Europe        S America     N America      Asia          Africa       Oceana

Germany   9   Brazil    9   USA        7   S Korea   9   Cameroon 6   New Zealand 1
Spain     9   Argentina 9   Mexico     7   Japan     6   Nigeria  6
Italy     8   Uruguay   6   Costa Rica 5   S Arabia  5   Tunisia  4
England   8   Paraguay  5   Honduras   2   Iran      4   Morocco  4
France    7   Colombia  5   Panama     1   N Korea   1   S Africa 3
Belgium   7   Chile     3   Canada     1   UAE       1   Ghana    3
Neth.     6   Ecuador   3   Trin Tob   1   Australia 1   Ivory C  3
Portugal  6   Bolivia   1   Jamaica    1   China     1   Algeria  3
Russia    6   Peru      1                  Iraq      1   Egypt    2
Sweden    5                                              Senegal  2
Switz.    5                                              Angola   1
Denmark   5                                              Togo     1
Serbia    5
Croatia   5
Poland    4
Scotland  3
Ireland   3
Greece    3
Austria   3
Romania   3
Bulgaria  3

Games

For a 4-year World Cup cycle,

            Regional    World Cup    World Cup   Total
           tournament   qualifying     games     games
             games        games

Europe           9         10          4        23
South America    8         18          4        30
North America   16         10          4        30
Asia             8         10          4        30
Oceana           4          4          4        12
Africa           8          6          4        18

We assume that a team qualifies for all tournaments, and we use the average number of games played by a team in the tournament. For example, a team in the World Cup plays 3 group games and on average 1 knockout game, for a total of 4 games. In a knockout stage each team plays an average of 2 games and since half the teams reach the knockout stage, one knockout game on average is played by the 32 qualifying teams.

Teams typically play as many friendlies as tournament games and so the number of games played in a 4-year World Cup cycle is around 64, or 16 games/year.

One can imagine redistributing the games to increase the number of compelling games. Most games are regional and some of these can be changed to inter-regional. One can also merge World Cup qualifying and regional tournaments.

Regional tournaments:

Europe            European Cup
Europe            UEFA Nations League
South America     Copa America
North America     CONCACAF Gold Cup
Asia              Asian Cup
Oceana            OFC Nations Cup
Africa            Africa Cup of Nations
N + S America     Copa America Centenario

Play twice

Tournaments are often seeded to prevent top teams from playing early on. If one resolves to have two games between the top teams then it makes sense for them to play early on.


Draws

Most soccer group stages use the following scoring:

       Points

Win      3
Draw     1
Loss     0
This is bull. If a game is tied in the final minute it's in the interest of both teams to flip a coin and let the coin winner score a free goal.

This scoring penalizes defensive teams. A low scoring game is more likely to draw than a high scoring game.


Games played

The USA averages 16 games per year. From 2014-2017:

World Cup 2014 final        4
World Cup 2014 qualifying  13
CONCACAF Gold Cup 2015      5
Copa America Cent 2017      5
CONCACAF Gold Cup 2017      4
Friendlies, 2014           11
Friendlies, 2015           11
Friendlies, 2016            7
Friendlies, 2017            5

Total                      63

Oligarch leagues

                     Regular  Teams  Post-   Oligarch  Postseason        Oligarch
                     season          season  leagues   format            leagues
                     games           teams

Football    Pro          16    32     12       1      knockout           NFL
Basketball  Pro          82    30     16       1      knockout           NBA
Hockey      Pro          82    30     16       1      knockout           NHL
Baseball    Pro         162    31     10       1      knockout           MLB
Football    College      12  Many      4       2      knockout           Big10, Big12, Pac10, SEC, ACC
Basketball  College      27  Many     64      10      knockout           Big10, Big12, Pac10, SEC, ACC, East, AAC, MW, WC, A10
Hockey      College      35    59     16       2      knockout           Big10, National Collegiate Hockey Conf
Wrestling   College      12  Many      -       2      -                  Big10, Big12
Soccer      England Pro  38    20      -       1      -                  Premier League
Soccer      England Cup   -     -    763       -      knockout           -
Soccer      World Cup     -     -     32       -      groups, knockout   -
Rugby       World Cup     -     -     20       2      groups, knockout   4-Nations, 6-Nations
Rugby       College          Many     16       2      knockout           Division 1A, Varsity Club
LoL         College       -  Many      8       -      knockout           -
Formula-1                20    24      -       1                         Formula-1
NASCAR                   36    59     16       1                         NASCAR
The Rugby Championship is a double round robin between New Zealand, Australia, S. Africa, and Argentina.

6 Nations Rugby is a round robin between England, France, Wales, Scotland, Ireland, and Italy.

The Rugby Pacific Nations Cup is a round robin between Fiji, Japan, Samoa, and Tonga.

The three rugby leagues are rare examples where there is no postseason.


College football


National Championship

The bowl system is designed to make the national championship game the last game, an inflexibility that prevents interesting games from happening. Furthermore, one can never be sure that the two teams selected for the championship game are the two best teams because few matchups between non-conference teams occur during the season. There's no reason that premier teams can't play each other early on, and this adds interesting games to the season.


Playoffs

There is no good way to decide the playoff teams because there are few non-conference games to go on. In 2017, the non-conference games featuring top teams were:

Oklahoma     def.   Ohio St      31 16      Big 12  #1  vs.  Big Ten #1
Clemson      def.   Auburn       14  6      ACC     #1  vs.  SEC #3
Georgia      def.   Notre Dame   20 19      SEC     #1
Notre Dame   def.   Mich St      38 18      Big 10  #4
Notre Dame   def.   USC          49 19      Pac 12  #1
Notre Dame   def.   N Carol St   35 14      ACC     #3
Miami        def.   Notre Dame   41  8      ACC     #2
Stanford     def.   Notre Dame   38 20      Pac 12  #3
6 of the 8 games involve Notre Dame. Notre Dame is a benchmark for comparing conferences and this year their strength of schedule was overwhelmingly strongest in the nation. They took on two conference #1s, a #2, three #3s, and a #4.

Once the bowls were played it became clear that the toughest conference in terms of depth is the Big Ten, and the weakest conference is the Pac Twelve.

No team from outside the 5 oligarch conferences achieved any success against oligarch conferences except UCF, which defeated Auburn and Maryland. The toughest non-oligarch conferences are the American Athletic Conference and the Sun Belt Conference.


Who won the conference?

The conference championship game are a way of sneaking in an extra round of bowl games, and so we might as well make the most of it. The teams not in the conference championship should also have a chance to schedule games.

Sometimes a conference championship game makes sense and sometimes it doesn't. Consider the top teams from each conference.

                    Losses   Teams not played

Big 12    Oklahoma      1    -
          TCU           2    -

Big Ten   Wisconsin     0    Ohio St
          Ohio State    1    Wisconsin

SEC       Georgia       1    Alabama,  LSU
          Alabama       1    Georgia
          Auburn        1    -
          LSU           2    Georgia

Pac 12    USC           1    Washington
          Stanford      2    -
          Washington    2    USC

ACC       Clemson       1    Miami
          Miami         1    Clemson,  N Carol St
          N Carol St    2    Miami
The Big Twelve is unambiguous. The top two teams played each other during the regular season and Oklahoma has fewer losses, and so there is no need for a conference championship game. Such a game only gives Oklahoma a chance to lose and miss out on the playoffs. It would be better for Big Twelve teams to schedule out-of-conference games that are compelling to watch and will make money. One might schedule games with teams not involved in conference championship games such as Washington, Penn State, and Alabama.

Wisconsin has the fewest losses in the Big Ten but they didn't play Ohio State, and so a game between them is appropriate. If Ohio State wins then both teams have the same number of conference losses and they could be said to share the Big Ten championship.

The SEC has 3 teams with 1 conference loss, Georgia, Auburn, and Alabama. During the regular season, Auburn played Georgia and Alabama, and Georgia didn't play Alabama. It would be appropriate for Georgia to play Alabama in the postseason. If Georgia defeats Alabama then Georgia and Auburn share the conference championship. If Alabama defeats Georgia then Alabama and Auburn share the conference championship.

In the Pac Twelve season, USC didn't play Washington and so it would be appropriate for them to play. The conference championship instead featured USC vs. Stanford but this was unnecessary because they had alread played.

In the ACC, Clemson and Miami had one conference loss and they didn't play during the season, and so it was appropriate for them to play a conference championship game.

To summarize:

             What happened                What should have happened

Big Ten      Wisconsin vs. Ohio State     Wisconsin vs. Ohio State
Big Twelve   Oklahoma vs. TCU             Out-of-conference games
SEC          Georgia vs. Auburn           Georgia vs. Alabama
Pac Twelve   USC vs. Stanford             USC vs. Washington
ACC          Clemson vs. Miami            Clemson vs. Miami

Conference losses

In the Big Ten,

Ohio State  def.  Wisconsin
Wisconsin   def.  Iowa
Iowa        def.  Ohio State
Ohio State and Wisconsin each have 1 conference loss. Ohio State is regarded as the conference champion because they defeated Wisconsin in the championship game, but this diminishes the importance of the conference. If one regards conference games as important than one should consider Wisconsin and Ohio State to share the Big Ten championship because they have the same number of conference losses. This also provides incentive for teams not in contention for the championship to win spoiler games over contenders.
The Plebes

Oligarch conferences:    Big Ten, Big Twelve, ACC, SEC, Pac Twelve
Plebe conferences:       AAC, Sun Belt, Mountain West, C-USA, MAC
Independents:            Notre Dame, BYU, Army

The gap between oligarch and plebe conferences is vast.


Regular season

The college football season could be improved by:

*) Increase the flexibility of the conference championship game to reflect the best interests of the teams, and have all teams in the conference play a game. Games can be either in-conference or out-of-conference, whatever the teams decide.

*) Ditch conference subleagues and instead schedule games that make sense regionally and matchup-wise.

*) Have a round of bowls early in the season in the north when the weather is warm. This adds interesting games to the season and it fixes the injustice of southern stadiums getting all the bowl games.

For example, the schedule for Wisconsin might look like:

 Boise State     Away     Play a northern team while the weather is warm
 Alabama         Home     Host a prominent southern team
 Hawaii          Away
 Notre Dame      Home
 Minnesota       Away     Nearby team.  Play Minnesota while the weather is warm
 Michigan State  Home
 Illinois        Home     Nearby team
 Michigan        Away
 Northwestern    Home     Nearby team
 Ohio State      Home
 Iowa            Away     Nearby team.  Iowa City has great bars
 Nebraska        Away     Play in Nebraska because it's warmer
 Oklahoma        Away     Play a non-conference game instead of conf champ game
 Stanford        Away     Bowl game
The schedule emphasizes conference games with nearby teams. Nebraska is always the last game because Nebraska is consistently highly-ranked. The Wisconsin-Nebraska game is analogous to the Michigan vs. Ohio State game.

With this schedule, Wisconsin plays every prominent Big Ten team except Penn State.


The Protestant Schism

The NCAA football system is awkward and change is inevitable. Some things that could happen are:

Conferences could seceed from the NCAA. Any conference can be self-sufficient.

The Big Twelve has ten members and plenty of room for more. They recently added West Virginia and TCU and additional possibilities include Boise State, Hawaii, and Houston.

Allow players to promote themselves with advertisers.


College basketball

The college basketball regular season has little impact on the postseason. All you get from the regular season is a seeding for the conference championship tournament and the national championship tournament. For lighweight conferences, selection to the national championship tournament is determined by the conference championship tournament rather than the conference regular season.

In the 2016-17 season the Wisconsin Badgers played 29 regular season games and 9 tournament games.

NCAA tournament               3   Virginia Tech, Villanova, Florida
Big Ten tournament            3   Indiana, Northwestern, Michigan
Maui Invitational             3   Tennesee, Georgetown, North Carolina
Big Ten regular season       18
Non-conference heavyweights   3   Syracuse, Creighton, Oklahoma
Non-conference lightweights   8   Green Bay, UW Platteville, Marquette, Chicago St.,
                                  Idaho St., Central Arkansas, Prairie View AM, Florida AM
There is plenty of room to schedule more games against non-conference heavyweights. If all the heavyweights did this then the regular season would be more compelling. That being said, basketball is a sport where mismatches can be interesting games whereas football mismatches are rarely interesting. It makes sense for a heavyweight to schedule non-conference games against lightweights, especially since it helps the lightweighs with revenue.

There are several interconference challenges where teams from two conferences are matched according to conference rank. The conference matchups are:

Big Ten        vs.  ACC
Big Twelve     vs.  SEC
Mountain West  vs.  Missouri Valley

Sports oligarchies

College football

Oligarch teams

Numbers indicate the number of time the team was ranked in the top 25 from 2009-2017.

                  Big  Big  Pac  SEC  ACC
                  10   12   12

Alabama       9                   *
LSU           9                   *
Clemson       8                        *
Ohio St       7    *
Wisconsin     7    *
Oklahoma      7         *
Stanford      7              *
Oregon        7              *
Mich St       6    *
Oklahoma St   6         *
TCU           6         *
Boise St.     6                             Mountain West
USC           6              *
Auburn        6                   *
Florida St.   6                        *
Utah          5              *
Georgia       5                   *

Conference strength

Numbers indicate the number of teams ranked in the top 25 from 2009-2017.

SEC             53
Big Ten         38
Pac Twelve      35
Big Twelve      34
Atlantic Coast  32
American        12
Mountain West   10
Mid American     5
Notre Dame       3
C-USA            1
BYU              1

College basketball oligarch teams

A March Madness "high seed" is a seed of 8th or better. For 1999-2017, we tally the number of high seeds for each team.

              High    Big Big Pac SEC ACC AAC East
              seeds   Ten 12  12

Kansas          19         *
Duke            19                     *
Wisconsin       17     *
Kentucky        16                 *
N Carolina      16                     *
Michigan St     15     *
Texas           15         *
Arizona         14             *
Florida         14                 *
Syracuse        13                     *
Louisville      13                     *
Ohio St         12     *
Notre Dame      12                     *
UCLA            12             *
Cincinnati      12                         *
Gonzaga         12                                  West Coast
Indiana         11     *
Maryland        11     *
Connecticut     11                         *
Oklahoma        11         *
Pittsburgh      10                     *
Illinois         9     *
W Virginia       9         *
Marquette        9                             *
Villanova        9                             *
Xavier           9                             *
Memphis          9                         *
Stanford         8             *
Oregon           8             *
Georgetown       8                             *
Purdue           7     *
Iowa St          7         *
California       7             *
Tennessee        7                 *
Butler           7                             *
Miami (Fl)       7                     *
Washington       6             *
Utah             6             *
Boston C         6                     *
Wake Forest      6                     *
UNLV             6                                  Mountain West
Baylor           6         *
Virginia         6                     *
Michigan         5     *
Iowa             5     *
BYU              5                                  West Coast
San Diego St     5                                  Mountain West
LSU              5                 *
Vanderbilt       5                 *
Creighton        5                             *
Temple           5                         *
Kansas St        4         *
Texas Tech       4         *
Missouri         4                 *
USC              4             *
New Mexico       4                                  Mountain West
Texas AM         4                 *
N Carolina St    4                         *
Wichita St       4                         *
Mississippi St   4                 *
Minnesota        3     *
Florida St       3                     *
Alabama          3                 *
Dayton           3                                  Atlantic 10
St John's        3                             *
Clemson          3                     *
Saint Joseph's   3                                  Atlantic 10
VCU              3                                  Atlantic 10
Georgia T        3                     *

                      Big Big Pac SEC ACC AAC East
                      Ten 12  12

Conference strength

A "high seed" is a March Madness seed of 8th or better. We tally the number of high seeds for each conference from 1999-2017.

              High seeds

ACC              118
Big Ten           97
Big Twelve        75
Pac Twelve        71
SEC               68
East              55
AAC               48
Mountain West     18
West Coast        18
Atlantic 10       15
Missouri Valley    4
Heartland          2
CUSA               2
Ohio Valley        1
Colonial           1
America East       1

NFL oligarch teams

The following table is for 2001-2017, with all teams with at least 6 playoff appearances included.

               Champ  Final  Semi  Playoffs

New England      5      7    11     15
Green Bay        1      1     4     13
Pittsburgh       2      3     7     12
Indianapolis     1      2     4     12
Seattle          1      3     3     11
Baltimore        1      1     4      9
Philadelphia     1      1     5      9
Denver           1      2     3      8
Atlanta                 1     3      8
NY Giants        2      2     2      7
Arizona                 2     3      7
Carolina                2     3      7
Kansas City                          7
Cincinnati                           7
New Orleans      1      1     2      6
NY Jets                       2      6
Minnesota                     1      6
Dallas                               6

NBA oligarch teams

Data is for 2003-2017.

Year           Champ   Final   Semifinal

San Antonio      4       5        8
Miami            3       5        6
Detroit          1       2        6
Cleveland        1       4        5
LA Lakers        2       4        4
Boston           1       2        4
Oklahoma City            1        4
Golden State     2       3        3
Dallas           1       2        3
Phoenix                           3
Indiana                           3

World Cup history
          Win  Final  Semi   Quarter   Europe  South    North
                      final  final             America  America

Germany      4    8     13     17        *
Brazil       5    7     11     16                *
Italy        4    6      8     10        *
Argentina    2    5      5     10                *
England      1    1      2     10        *
France       1    2      5      9        *
Spain        1    1      2      7        *
Serbia                   2      7                *
Uruguay      2    2      5      6        *
Neth.             3      5      6        *
Sweden            1      4      6        *
Hungary           2      2      5        *
Russia                   1      5        *
Czech             2      2      4        *
Austria                  2      4        *
Belgium                  1      4        *
Mexico                          4                        *
Switz.                          4        *
USA                      1      3                        *
Poland                   1      3        *
Chile                    1      3                *
Paraguay                        3                *
Portugal                 2      2        *
Romania                         2        *
Bolivia                         2                *
Peru                            2                *
N Ireland                       2        *

World cup regions

We tally each team's results for 1994-2014, and then sum over the teams from each region.

            Qualifying   Round   Round   Quarter   Semi    Final   Win
              places     of 32   of 16   final     final

Europe          13         92      51       30      16       8      4
South America    4.5       28      21       13       7       4      2
North America    3.5       19      11        2
Asia             4.5       23       6        1       1
Oceana            .5        2
Africa           5         28       7        2

Teams from Europe and South America perform well and teams from Africa perform poorly. The number of qualifying places for each region is out of balance with the strength of the regions.


FA Premier League oligarch teams

Numbers are for 2001-2017. All teams with at least one placement in the top 3 are included.

                  Champ  2nd  3rd

Manchester U        7     3    3
Chelsea             5     4    3
Arsenal             2     4    4
Manchester City     2     2    2
Liverpool                 3    3
Tottenham                 1    1
Leicester City      1
Newcastle U                    1

College Wrestling
            Championships

Oklahoma State  34
Iowa            23
Iowa State       8
Oklahoma         7
Penn State       5
Minnesota        3
Ohio State       1
Arizona State    1
Michigan State   1
Northern Iowa    1
Cornell College  1
Indiana          1


Big Twelve      49
Big Ten         33
Other            3
Few schools outside of the Midwest have won championships.

NCAA hockey

Big Ten
Hockey East

ECAC Hockey

Men's hockey:

            Championships   Frozen Four

Michigan             9       24
North Dakota         7       21
Denver               7       14
Wisconsin            6       12
Boston College       5       24
Boston University    5       22
Minnesota            5       21
Lake Superior State  3        4
Michigan State       3       11
Michigan Tech        3       10
Cornell              2        8
Maine                2       11
Colorado College     2       10
RPI                  2        5
Minnesota-Duluth     1        4
Harvard              1       12
Providence           1        4
Bowling Green        1
Northern Michigan    1
Union                1
Yale                 1
St Lawrence                   9
Clarkson                      7
New Hampshire                 7
Dartmouth                     4
Women's hockey:
               Championships   Final

Minnesota-Duluth     5          6
Minnesota            5          7
Wisconsin            4          6
Clarkson             1          1
Harvard                         4

NCAA rugby

Varsity Club Championship teams:

Arizona State     Air Force       Arkansas State    BYU       California
Cent. Washington  Clemson         Dartmouth         Navy      Notre Dame
Oklahoma          Texas           UCLA              UTAH
Division 1-A Rugby:
East:        Army,  Delaware,  Kutztown,  Penn State,  Wheeling Jesuit
             St. Bonaventure,  Iona,  University at Buffalo
Mid-South:   Lindenwood,  Life University,  Davenport University
California:  Cal Poly,  Saint Mary's,  UC Davis,  San Diego State,
             UC Santa Barbara,  Santa Clara,  Sacramento State,  Stanford
West:        Colorado,  Colorado State,  Wyoming  Northern Colerado,  New Mexico


            Championships

California       25
BYU               4
Air Force         3
Harvard           1
San Diego State   1
The Varsity Club conference was formed in 2013.

http://en.wikipedia.org/wiki/Varsity_Cup_Championship
http://en.wikipedia.org/wiki/Division_1-A_Rugby


eSports

LoL college championship, 2017

The college League of Legends national championship consists of 5 conference champions plus 3 wildcards. A wildcard tournament trims the 5 conference runners up down two 3 wildcards.

                                         Maryville
                        Maryville        U British Colombia
            Maryville
                        Robert Morris    Robert Morris
                                         Maryland
Maryville
                                         Texas AM
                        Carnegie Mellon  Carnegie Mellon
            Toronto
                        Toronto          Simon Fraser
                                         Toronto

Big Ten champion   Maryland
North champion     Maryville
East champion      U. Toronto
West champion      Simon Fraser
South champion     Texas AM
Wildcard           Carnegie Mellon
Wildcard           Robert Morris
Wildcard           U. British Columbia

LoL college championship, 2016
                                     UBC
                          UBC        Washington
               UBC                                                 West conference
                          Simon      Simon Frasier
       UBC                           Cal State Fullerton

                                     Florida State
                          Georgia T  Georgia Tech
               Georgia T                                           East conference
                          Texas AM   Texas AM
UBC                                  Texas

                                     SUNY Stony Brook
                          Maryland   Maryland
               Maryland                                            South conference
                          York       York
                                     Toronto
     RMU
                                     Michigan State
                          Ohio St    Ohio State
               RMU                                                 North conference
                          RMU        Manitoba
                                     Robert Morris University


North                South            East                   West

Robert Morris   21   Toronto     19   Georgia Tech      18   UBC              21
Ohio State      16   Maryland    16   Texas AM          15   Simon Fraser     18
Michigan State  10   Stony Brook 13   Texas             15   Cal St Fullerton 13
U Manitoba       9   York        11   Florida State     13   Washington        8
Grand Valley St  8   Temple      10   UT Dallas          9   Cal Poly Pomona   6
U Chicago        6   Boston       6   Vanderbilt         7   UCLA              5
Purdue           6   Harvard      2   Georgia            4   UC Irvine         3
Illinois         2   Brock        1   Savannah College   0   San Jose State    3

Conferences

Big 10 East    Ohio St.   Michigan    Penn St.    Mich St.    Purdue      Maryland   Rutgers
Big 10 West    Wisconsin  Nebraska    Iowa        Northwest   Minnesota   Illinois   Indiana

SEC East       Florida    Georgia     S. Carol.   Kentucky    Missouri    Vander     Tennessee
SEC West       Alabama    Auburn      LSU         Miss  St.   Texas AM    Miss       Arkansas

ACC Atlantic   Clemson    NC State    Boston C.   Louisville  Wake Forest Florida St Syracuse
ACC Coastal    Miami      Virginia T  Georg Tech  Virginia    Pittsburgh  Duke       N. Carol

Pac 10 North   Stanford   Oregon      Washington  Wash St     Oregon St.  Cal
Pac 10 South   UCLA       USC         Arizona     Arizona St  Colorado    Utah

Big 12 North   Oklahom    Okla St     Iowa St     Kansas      Kansas St.
Big 12 South   Texas      TCU         Baylor      Texas Tech  W. Virginia

C-USA  East    Flor Atl   FIU         Marshall    W Kentucky  M Tenn      Old Dominion  Charlotte
C-USA  West    N Texas    UAB         S Miss      Louis Tech  UTSA        Rice          UTEP

AAC    East    UCF        S Florida   Temple      Cincinnati  Connecticut E Carolina
AAC    West    Memphis    Houston     SMU         Navy        Tulane      Tulsa

MW     Mount   Boise St   Colorado S  Wyoming     Utah St     Air Force   N Mexico
MW     West    Fresno St  SDiego St   UNVL        Nevada      Hawaii      San Jose St

MAC    East    Akron      Ohio        Miami       Buffalo     Bowl Green  Kent St
MAC    West    Toledo     C Michigan  N Illinois  W Michigan  E Michigan  Ball St

Sun Belt       Troy       AppalachSt  Arkans St   Georgia St  N Mexico St Louisiana
               Lou-Monroe Idaho       S Alabama   CoastCarol  Georgia S   Texas St



Big East       Pioneer           Atlantic 10      West Coast       Missouri Valley

Butler         Butler            Davidson         BYU              N Iowa
Creighton      Davidson C        Duquesne         Gonzaga          Illinois State
DePaul         Drake U           Fordham          Loyola Marymount Southern Illinois
Georgetown     Jacksonville U    George Mason     Pacific          Indiana State
Marquette      Marist College    George Washing   Pepperdine       Loyola U Chicago
Providence     Morehead St U     La Salle         Portland         Missouri State
St. John's     U San Diego       U Massachusetts  St Mary's        Drake
Seton Hall     Stetson U         Rhode Island     U San Diego      Valparaiso
Villanova      Valparaiso U      Richmond         U San Francisco  Bradley
Xavier         U Dayton          St Bonaventure   Santa Clara      U Evansville
                                 St Joseph's
                                 St Louis
                                 Virginia Common
                                 U Dayton


       Teams   Conference games

Big 10   14      9
SEC      14      8
Pac 10   12      9
Big 12   10      9
ACC      14      8      Atlantic Coast Conference
AAC      12      8      American Athletic Conference
C-USA    14      8      Conference USA
MAC      12      8      Mid American
MW       12      8      Mountain West
SB       12      8      Sun Belt


NCAA basketball:

Division  Conferences  Teams
   1          32        351
   2          23
   3          45

World Cup 2018

Groups

A          B          C          D          E          F          G         H

Russia     Portugal   France     Argentina  Brazil     Germany    Belgium   Poland
S Arabia   Spain      Australia  Iceland    Switz      Mexico     Panama    Senegal
Egypt      Morocco    Peru       Croatia    Costa R    Sweden     Tunisia   Colombia
Uruguay    Iran       Denmark    Nigeria    Serbia     S Korea    England   Japan

Qualifying

            Qualifying
              teams

Europe         14
North America   3.5
South America   4.5
Asia            4.5
Africa          5
Oceana           .5

Qualifying results

 South America    North America     Asia             Africa            Oceana

*Brazil    41    *Mexico     21    *Japan     20    *Tunisia     14   -New Zealand  10
*Uruguay   31    *Costa Rica 16    *S. Arabia 19     DR Congo    13    New Caledonia 5
*Argentina 28    *Panama     13    +Australia 19     Libya        4    Fiji          1
*Colombia  27    -Honduras   13     UAE       13     Guinea       3
+Peru      26     USA        12     Iraq      11                       Solomon Is    9
 Chile     26     Trin & Tob  6     Thailand   2    *Nigeria     13    Tahiti        6
 Paraguay  24                                        Zambia       8    Papua NG      3
 Ecuador   20                      *Iran      22     Cameroon     7
 Bolivia   14                      *S Korea   15     Algeria      4
 Venezuela 12                       Syria     13
                                    Uzbek     13    *Morocco     12
                                    China     12     Ivory Coast  8
                                    Qatar      7     Gabon        6
                                                     Mali         4

                                                    *Senegal     14
                                                     Burkina F    9
                                                     Cape Verde   6
                                                     S Africa     4

                                                    *Egypt       13
                                                     Uganda       9
                                                     Ghana        7
                                                     Congo        2

Asia playoff:     Australia   def. Syria       3-2
Oceana playoff:   New Zealand def. Solomon Is  8-3

Interconference:  Australia   def.  Honduras   3-1
Interconference:  Peru        def.  N Zealand  2-0

*  =  Qualified for the World Cup Final
+  =  Qualified for the World Cup Final but had to win a playoff game.
-  =  Qualified for the playoff and lost

European qualifying

 Group A           Group B         Group C          Group D         Group E

*France      23   *Portugal  27   *Germany    30   *Serbia    21   *Poland  25
+Sweden      19   +Switzer   27    N Ireland  19    R Ireland 19   +Denmark 20
 Netherlands 19    Hungary   13    Czech Rep  15    Wales     17    Monten  16
 Bulgaria    13    Faroe Is   9    Norway     13    Austria   15    Romania 13
 Luxembourg   6    Latvia     7    Azerbai    10    Georgia    5    Armenia  7
 Belarus      5    Andorra    4    San Marino  0    Moldova    2    Kazakh   3


 Group F           Group G         Group H          Group I

*England     26   *Spain     28   *Belgium    28   *Iceland   22
 Slovakia    18    Italy     23    Greece     19   +Croatia   20
 Scotland    18    Albania   13    Bosnia H   17    Ukraine   17
 Slovenia    15    Israel    12    Estonia    11    Turkey    15
 Lithuania    6    Macedonia 11    Cyprus     10    Finland    9
 Malta        1    Leichten   0    Gibraltar   0    Kosovo     1


 European playoffs:

 Switzerland def.  N Ireland   1-0
 Croatia     def.  Greece      4-1
 Denmark     def.  R Ireland   5-1
 Sweden      def.  Italy       1-0

*  =  Qualified for the World Cup Final
+  =  Qualified for the World Cup Final, but had to win a European playoff game.

UFC

               Mir  Mioc  Werd  Over  Lesn  Vela  Sant  Hunt  Arlo  Silv  Cout  Carw  Nogu   Win  Loss

Stipe Miocic               +     +                 +-    +     +                              5    1
Cain Velasquez             -           +           ++-               ++                +      6    2
A. Overeem     +     -     ++-         +           +     +     +     -                 --     7    5
F. Werdum            -           +--         +     -     +     -     +                 +-     5    6
Frank Mir                        -     +-          -     -     -     +           +     ++     5    5
Brock Lesnar   +-                -           -                             +     +            3    3
J. dos Santos  +     +-    +     -           +--         +                       +            6    4
Mark Hunt      +     -     -     -                 -                 +o                       2    4
A. Arlovski    +     -     +     -                                   ++                       4    2
Antonio Silva  -           -     +           --          -     +-                             2    6
Randy Couture                          -                                               -      0    2
Shane Carwin   +                       -           -                                          1    2
A. Nogueira    --          +-                -                             +                  2    3

+: Victory
-: Defeat
o: Draw
For example, Miocic defeated Werdum


               Holm  Tate  Rousey  Zing  Nunes  Penn  Pena  McMann  Eye  Kaufman  Shev  Davis
Holly Holm            -      +                   +                                 -     f
Miesha Tate      +           -      -      -     -            +      +     -
Ronda Rousey     -    +             +      -                  +            +             +
Cat Zingano           +      -             +     +     -
Amanda Nunes          +      +      -                         +                    ++    -
Raq. Pennington  -    +             -
Julianna Pena                       +                                +             -
Sarah McMann          -      -             -                         +                   +
Jessica Eye           -                                -      -                          -
Sarah Kaufman         +      -                                                     -     +-
Val. Shevchenko  +                         --          +                   +
Alexis Davis                 -             +                  -      +     +-
Ger. de Randamie +                         -

Go

Tournament victories
               Honinbo  Meijin  Kisei  Tengen  Oza  Gosei  Judan   Birth

Cho Chikun       12       9       8      2      2     2      6     1956
Iyama Yuta        5       5       5      5      4     5      4     1989
Cho U             2       4       3      1      7     4      2     1980
Yamashita Keigo   2       2       5      2      2     1            1978
Takao Shinji      3       2              1                   2     1976
Yoda Norimoto             4                           6      2     1966
O Rissei                          3             4            4     1972
Hane Naoki        2               2      3            1            1976
O Meien           2                             1                  1961

Goratings.org
               ELO

Ke Jie         3620
Park Junghwan  3593
Mi Yuting      3571
Shin Jinseo    3537
Iyama Yuta     3525
Lian Xiao      3524
Lee Sedol      3516

College football 2017 season


Big games

There is no good way to decide the playoff teams because there are few non-conference games to go on. The non-conference games featuring top teams are:

Oklahoma     def.   Ohio St      31 16      Big 12  #1  vs.  Big Ten #1
Clemson      def.   Auburn       14  6      ACC     #1  vs.  SEC #3
Georgia      def.   Notre Dame   20 19      SEC     #1
Notre Dame   def.   Mich St      38 18      Big 10  #4
Notre Dame   def.   USC          49 19      Pac 12  #1
Notre Dame   def.   N Carol St   35 14      ACC     #3
Miami        def.   Notre Dame   41  8      ACC     #2
Stanford     def.   Notre Dame   38 20      Pac 12  #3
6 of the 8 games involve Notre Dame. Notre Dame is a benchmark for comparing conferences and this year their strength of schedule was overwhelmingly strongest in the nation. They took on two conference #1s, a #2, three #3s, and a #4.

Once the bowls were played it became clear that the toughest conference in terms of depth is the Big Ten, and the weakest conference is the Pac Twelve.

No team from outside the 5 oligarch conferences achieved any success against oligarch conferences except UCF, which defeated Auburn and Maryland. The toughest non-oligarch conferences are the American Athletic Conference and the Sun Belt Conference.


Conference standings

Big Ten    L     SEC       L     Pac 12   L      Big 12    L     ACC          L

Ohio St    1     Georgia   1     USC       1     Oklahoma  1     Clemson      1
Wisconsin  0     Alabama   1     Stanford  2     TCU       2     Miami        1
Penn St    2     Auburn    1     Wash      2     Okla St   3     N Carol St   2
Mich St    2     LSU       2     Ariz St   3     Texas     4     Virginia T   3
Northwest  2     S. Carol  3     Wash St   3     Iowa St   4     W. Forest    4

L = Conference losses, excluding the conference championship game.

There are 5 conference champions, 4 playoff spots, and 12 premier bowl spots. The teams with at most 2 conference losses (excluding the conference championship game) are:

                                     Conf
           Conf   Conf   2017  2016  champ     Vs.      Bowl   Playoff   Premier
           rank  losses  poll  poll  game   Notre Dame                    bowl

Wisconsin    2      0     6     8    Loss               Orange             *
Ohio State   1      1     5     3    Win                Cotton             *
Oklahoma     1      1     2     7    Win                Rose      *        *
USC          1      1     8     9    Win      Loss      Cotton             *
Georgia      1      1     3     -    Win      Win       Rose      *        *
Clemson      1      1     1     2    Win                Sugar     *        *
Auburn       2      1     7    14    Loss               Peach              *
Alabama      3      1     4     1                       Sugar     *        *
Miami        2      1    10     -    Loss     Win       Orange             *
Penn State   3      2     9     5                       Fiesta             *
Mich St      4      2    16     -             Loss      Holiday
Northwest    5      2    21     -                       Music City
Stanford     2      2    13    18    Loss     Win       Alamo
Washington   3      2    11     4                       Fiesta             *
TCU          2      2    15     -    Loss               Alamo
LSU          4      2    17    20                       Citrus
Notre Dame   -      -    14     -                       Citrus

Among conference champions, Oklahoma deserves a playoff spot because they defeated Ohio State and Clemson deserves a spot because they defeated Auburn. Georgia deserves a spot because they defeated Notre Dame. There is no natural choice for the final playoff spot. The choice of Alabama over Ohio State was arbitrary.

There are 9 teams with at most 1 conference loss and they all got premier bowls. There are 17 teams with at most 2 conference losses (plus Notre Dame) and no natural way to distinguish between them.

The Big Ten and Pac Twelve were excluded from the playoffs and they have no way of humbling the conferences that were included. Big Ten and Pac Twelve teams play each other in the bowls. The bowls should have been arranged to give Big Ten and Pac Twelve teams a chance to beat the best teams from the SEC, Big Twelve, and ACC. Wisconsin should have been matched with Auburn instead of Miami.


Toughest conference

The toughest conference in terms of depth is the Big Ten and the weakest is the Pac Twelve.


Big Ten

Big Ten teams won most of their non-conference games. Even the bottom teams were victorious against other conferences. Numbers indicate conference rank.

                  Wins                          Losses

 1  Ohio St                                     1 Oklahoma
 2  Wisconsin     2 Miami
 3  Penn St       3 Washington  9 Pitt
 4  Mich St       5 Wash St                     - Notre Dame
 5  Northwest     6 Kentucky                    9 Duke
 6  Michigan      5 S Carol    10 Florida
 7  Iowa          5 Iowa St     5 Boston
 7  Purdue        6 Missouri    6 Arizona       5 Louisville
 9  Rutgers                                     3 Washington
 9  Nebraska                                    7 Oregon
11  Indiana       9 Virginia
11  Maryland      4 Texas
11  Minnesota    12 Oregon St
14  Illinois

Pac Twelve

Pac Twelve teams lost most of their non-conference games. Numbers indicate conference rank.

                  Wins             Losses

 1 USC            5 Texas
 1 USC                             - Notre Dame
 1 USC                             1 Ohio St
 2 Stanford       - Notre Dame     2 TCU
 3 Washington     9 Rutgers        3 Penn St
 4 Wash St                         4 Mich St
 5 Arizona St                      5 N. Carol St
 6 Arizona                         7 Purdue
 7 UCLA                            4 Kansas St
 7 Oregon         9 Nebraska
 9 Utah           4 W Virginia
12 Oregon St                      11 Minnesota

SEC

SEC teams lost most of their non-conference games, mostly to the Big Ten. Numbers indicate conference rank.

                  Wins                            Losses

 1 Georgia        1 Oklahoma   - ND
 2 Auburn                                         1 Clemson
 3 Alabama        1 Clemson    9 Florida St       1 Clemson
 4 LSU                                            - Notre Dame
 5 S Carol        3 N Carol St                    1 Clemson      6 Michigan
 6 Missouri                                       7 Purdue
 6 Texas AM                                       5 Wake Forest
 6 Miss St        5 Louisville
 6 Kentucky                                       5 Northwestern
10 Florida                                        6 Michigan
11 Mississippi
11 Vanderbilt     4 Kansas St
13 Arkansas
14 Tennessee

Who won the conference?

The conference championship game are a way of sneaking in an extra round of bowl games, and so we might as well make the most of it. The teams not in the conference championship should also have a chance to schedule games.

Sometimes a conference championship game makes sense and sometimes it doesn't. Consider the top teams from each conference.

                    Losses   Teams not played

Big 12    Oklahoma      1    -
          TCU           2    -

Big Ten   Wisconsin     0    Ohio St
          Ohio State    1    Wisconsin

SEC       Georgia       1    Alabama,  LSU
          Alabama       1    Georgia
          Auburn        1    -
          LSU           2    Georgia

Pac 12    USC           1    Washington
          Stanford      2    -
          Washington    2    USC

ACC       Clemson       1    Miami
          Miami         1    Clemson,  N Carol St
          N Carol St    2    Miami
The Big Twelve is unambiguous. The top two teams played each other during the regular season and Oklahoma has fewer losses, and so there is no need for a conference championship game. Such a game only gives Oklahoma a chance to lose and miss out on the playoffs. It would be better for Big Twelve teams to schedule out-of-conference games that are compelling to watch and will make money. One might schedule games with teams not involved in conference championship games such as Washington, Penn State, and Alabama.

Wisconsin has the fewest losses in the Big Ten but they didn't play Ohio State, and so a game between them is appropriate. If Ohio State wins then both teams have the same number of conference losses and they could be said to share the Big Ten championship.

The SEC has 3 teams with 1 conference loss, Georgia, Auburn, and Alabama. During the regular season, Auburn played Georgia and Alabama, and Georgia didn't play Alabama. It would be appropriate for Georgia to play Alabama in the postseason. If Georgia defeats Alabama then Georgia and Auburn share the conference championship. If Alabama defeats Georgia then Alabama and Auburn share the conference championship.

In the Pac Twelve season, USC didn't play Washington and so it would be appropriate for them to play. The conference championship instead featured USC vs. Stanford but this was unnecessary because they had alread played.

In the ACC, Clemson and Miami had one conference loss and they didn't play during the season, and so it was appropriate for them to play a conference championship game.

To summarize:

             What happened                What should have happened

Big Ten      Wisconsin vs. Ohio State     Wisconsin vs. Ohio State
Big Twelve   Oklahoma vs. TCU             Out-of-conference games
SEC          Georgia vs. Auburn           Georgia vs. Alabama
Pac Twelve   USC vs. Stanford             USC vs. Washington
ACC          Clemson vs. Miami            Clemson vs. Miami

Conference losses

In the Big Ten,

Ohio State  def.  Wisconsin
Wisconsin   def.  Iowa
Iowa        def.  Ohio State
Ohio State and Wisconsin each have 1 conference loss. Ohio State is regarded as the conference champion because they defeated Wisconsin in the championship game, but this diminishes the importance of the conference. If one regards conference games as important than one should consider Wisconsin and Ohio State to share the Big Ten championship because they have the same number of conference losses. This also provides incentive for teams not in contention for the championship to win spoiler games over contenders.
Big games

The biggest games, including the regular season and bowls, are:

                           Score  Bowl      Conference and rank

Alabama      Georgia       26 23            SEC3  SEC1
Georgia      Oklahoma      54 48  Rose      SEC1  Twe1
Alabama      Clemson       24  6  Sugar     SEC3  ACC1
Oklahoma     Ohio St       31 16  -         Twe1  Ten1
Georgia      Oklahoma      54 48  Rose      SEC1  Twe1
Ohio St.     USC           24  7  Cotton    Ten1  Pac1
Clemson      Auburn        14  6  -         ACC1  SEC2
Wisconsin    Miami         34 24  Orange    Ten1  ACC2
Georgia      Notre Dame    20 19  -         SEC1  ND
Notre Dame   USC           49 19  -         ND    Pac1
TCU          Stanford      39 37  Alamo     Twe2  Pac2
Alabama      Clemson       24  6  Sugar     SEC3  ACC1
Miami        Notre Dame    41  8  -         ACC2  ND
Stanford     Notre Dame    38 20  -         Pac2  ND
Notre Dame   N Carol St    35 14  -         ND    ACC3
Penn St      Washington    35 28  Fiesta    Ten3  Pac3
Oklahoma St  Virginia T    30 21  Camp      Twe3  ACC3
Notre Dame   Mich St       38 18  -         ND    Ten4
Notre Dame   LSU           21 17  Citrus    ND    SEC4

Bowls

                              Score             Big  SEC  Big  Pac  ACC  Other
                                                10        12   12

 4 Alabama      1 Clemson     24  6  Sugar            3              1
 3 Georgia      2 Oklahoma    54 48  Rose             1    1
 5 Ohio St.     8 USC         24  7  Cotton      1              1
 6 Wisconsin   10 Miami       34 24  Orange      2                   2
12 UCF          7 Auburn      34 27  Peach            2                  AAC
 9 Penn St     11 Washington  35 28  Fiesta      3              3
15 TCU         13 Stanford    39 37  Alamo                 2    2
14 Notre Dame  17 LSU         21 17  Citrus           4                  Notre Dame
16 Mich St.    18 Wash St.    42 17  Holiday     4              4
19 Oklahoma St 22 Virginia T  30 21  Camp World            3         3
   Iowa St     20 Memphis     21 20  Liberty               4             AAC
21 Northwest      Kentucky    24 23  Music City  5    5
23 Miss St        Louisville  31 27  Taxslayer        6              4
24 N. Carol St    Arizona St  52 31  Sun                        5    3
25 Boise St       Oregon      38 28  Las Vegas                  6        MW
   S Carol        Michigan    26 19  Outback     6    7
   Iowa           Boston C    27 20  Pinstripe   7                   7
   Purdue         Arizona     38 35  Foster Far  8              7
   Texas          Missouri    33 16  Texas            8    5
   Utah           W Virginia  30 14  Dallas                8    9
   Wake Forest    Texas AM    55 52  Belk             9              6
   Kansas St      UCLA        35 17  Cactus                7    8
   Navy           Virginia    49  7  Military                        8   AAC
   S. Florida     Texas Tech  38 34  Birmingham                10        AAC
   Duke           N. Illinois 36 14  Quick Lane                      9   MAC
   Florida St     S Miss      42 13  Independ                       10   CUSA

The Plebes

Oligarch conferences:    Big Ten, Big Twelve, ACC, SEC, Pac Twelve
Plebe conferences:       AAC, Sun Belt, Mountain West, C-USA, MAC
Independents:            Notre Dame, BYU, Army

Oligarch teams decisively defeated Plebe teams. The gap between Oligarch conferences and Plebe conferences is vast. The only Plebe team to achieve a win against a tough Oligarch team is UCF, which defeated Auburn.

Among the Plebe conferences, the AAC and Sun Belt are the toughest.

L = Conference losses, excluding the conference championship game.

American   L     Mountain   L     C-USA     L     Sun Belt   L     Mid American L

UCF        0     Boise St   1     Florida A 0     Appal St   1     Toledo       1
Memphis    1     Fresno St  1     N Texas   1     Troy       1     Akron        2
S Florida  2     Diego St   2     S Miss    2     Arkan St   2     C Mich       2
Houston    3     Colorad St 3     FIU       3     Georgia St 3     N Illinois   2
                 Wyoming    3                                      Ohio         3
The most significant non-conference games are:
                                             Score   Bowl

Appalach St (SB1)   def.  Toledo   (MAC1)    34  0   Dollar General
Florida Atl (USA1)  def.  Akron    (MAC2)    50  3   Boca Raton
Troy        (SB2)   def.  N. Texas (USA2)    50 30   New Orleans

Appendix

College football history

Numbers indicate end-of-season rankings.

Year        17 16 15 14 13 12 11 10  9

Ohio St      5  3  7  4  7        6  5
Mich St     15     3  8  4    17  9
Wisconsin    7  8    18 19    10  5 16
Michigan        6 14       18 13
Penn State   8  5             22     9
Nebraska                   16 20 18 14
Iowa               5
Minnesota            25              7
Northwest   17    13       20

Alabama      1  1  2  1  3  1  2 16  1
LSU         18 20 20 23 16  8  1 11 17
Auburn      10 14    19  2    25  1
Georgia      2       13 22  7 16
Florida        17 19        3        3
S. Carolina              9 10  9 20
Arkansas                       6  8
Missouri             16  8       12
Tennessee      21 23
Miss. St.   19        7          21
Ole Miss          12  9             20
Texas AM                21  9    17

Oklahoma     3  7  4    11 11 14  7
Oklahoma St 14 12 16    13  3    14
TCU          9    11  6       18  3  6
Baylor            17  5  6    12
Kansas               11
W. Virginia    16             23 22 25
Kansas St.               5     8
Texas                      23 24     2
Texas T                             21

Oregon            15  2 10  4  5  2 11
Stanford    20 18  6     5  6  4  4
USC         12  9 25 24 25          22
Utah           19 22 22          19 18
Washington  16  4
UCLA                 14 17 17
Arizona St.          15 14
Colorado       10
Arizona              10
Oregon St.                 13

Clemson      4  2  1 17 12 14 15    24
Florida St.    11  9  3  1 12    23
Georgia T            12       11    13
Virginia T  24 22                13 10
Pittsburgh     23                   15
Louisville     13    21 18 21
N. Carolina       10
Duke                    24
Miami       13                   19
N Carol St  23

Notre Dame  11     8        2              Independent
BYU                                 12     Independent

Boise St.   22       20    19  7 10  4     Mountain West
Nevada                           15        Mountain West
Fresno St               20                 Mountain West
Utah St.                   22              Mountain West
Hawaii                           24        Mountain West
San Jose St                24              Mountain West

UCF          6          15       25        American
Houston           18          19           American
Temple         24 24                       American
Navy           25 21                       American
Cincinnati                           8     American
S Florida   21                             American
Memphis     25                             American

W. Michigan    15                          Mid American
C Michigan                          23     Mid American
Kent State                 25              Mid American
N. Illinois             23 15              Mid American

Southern Miss                 21           CUSA

Big Ten, 1993-2017

        Champs   #2    #3

Ohio St    11     7     3
Wisconsin   6     3     5
Michigan    5     4     5
Penn St     4     2     5
Mich St     3     3     2
Northwest   3     0     2
Iowa        2     2     2
Purdue      1     2     0
Illinois    1     1     0
Nebraska    0     0     1


Year      17 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1  0 99 98 97 96 95 94 93

Ohio St   *1  1  1 *0  0  0  5  1 *1 *1 *1 *0 *1  4  2 *0  3  3  5 *1  2 *1  1  2 *1d
Wisconsin  0  2  2  1  2 *4 *2 *1  3  5  3  1  3  2  4  6  5  4 *1 *1  3  5  4d 2d*1d
Michigan   4  2  2  5  5  2  2  5  7  6  2  1  3 *1 *1  2  2 *2  2 *1 *0  3  3  3  3
Penn St    2 *1  4  6  4  2  2  4  2 *1  4  3 *1  6  7  3  4  4  3  3  2  2  3 *0  2
Mich St    2  8 *1  1 *0  5  1 *1  4  2  5  7  6  4  3  6  5  6  2  4  4  3  3d 8  4
Northwest  2  4  2  5  7  3  5  5  3  3  5  6  3  3  4  7  6 *2  7  8  5 *1 *0  5  8
Iowa       5  3  0  4  3  6  4  4  2  3  4  6  3 *1  3 *0  4  5  8  6  4  2  4  4d 5
Purdue     5  8  7  7  8  5  4  6  4  6  5  3  5  4  2  4  4 *2  4  2  2  6  5d 4  8
Illinois   9  7  6  5  7  8  6  4  6  5  2  7  8  7  8  4 *1  6  4  6  8  7  4d 4  3
Minnesota  7  4  6  3  4  6  6  6  5  5  8  5  4  5  3  5  6  4  3  6  7  7  7  7  5
Indiana    7  5  6  7  5  6  8  7  7  7  5  5  7  7  7  7  4  6  5  6  7  7  8  5  3
Nebraska   6  3  6  3  3  1  3
Rutgers    6  9  7  5
Maryland   7  6  7  4

* = conference champion
d = draw
Numbers are conference losses.

March Madness

Numbers indicate March Madness seeds.

Year           17 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1  0  9

Kansas          1  1  2  2  1  2  1  1  3  1  1  4  3  4  2  1  4  8  6
Duke            2  4  1  3  2  2  1  1  2  2  6  1  1  1  3  1  1  1  1
Wisconsin       8  7  1  2  5  4  4  4 12  3  2  9  6  6  5  8  6  8  5
N Carolina      1  1  4  6  8  1  2     1  1  1  3  1  6        2  8  3
Kentucky        2  4  1  8     1  4  1        8  8  2  1  1  4  2  5  3
Texas              6 11  7    11  4  8  7  2  4  2  8  3  1  6  6  5  7
Michigan St     9  2  7  4  3  1 10  5  2  5  9  6  5  7  7 10  1  1  1
Florida         4        1  3  7  2 10        1  3  4  5  2  5  3  5  6
Arizona         2  6  2  1  6     5    12 10  8  8  3  9  1  3  2  1  4
Louisville      2     4  4  1  4  4  9  1  3  6     4 10  4        7  7
Syracuse          10     3  4  1  3  1  3        5  4  5  3     5  4  8
Notre Dame      5  6  3     7  7  2  6     5  6           5  8  6
UCLA            3    11  4  6     7     6  1  2  2 11        8  4  6  5
Ohio St              10  6  2  2  1  2  8     1  2           4  5  3  4
Cincinnati      6  9  8  5 10  6  6                 7  4  8  1  5  2  3
Gonzaga         1 11  2  8  1  7 11  8  4  7 10  3  3  2  9  6 12 10
Indiana            5 10     1  4           8  7  6        7  5  4  6  6
Connecticut        9     7     9  3     1  4     1  2  2  5  2     5  1
Maryland        6  5  4              4 10     4        4  6  1  3  3  2
Oklahoma           2  3  5 10           2  6     6  3     1  2  4  3
Pittsburgh        10     9  8     1  3  1  4  3  5  9  3  2  3
Villanova       1  2  1  2  9     9  2  3 12  9  1  5                 8
Illinois                    7     9     5    12  4  1  5  4  4  1  4
Xavier             2  6       10  6  6  4  3  9 14     7  3  7 11
Memphis                  8  6  8 12     2  1  2  1     7  7
Marquette      10           3  3 11  6  6  6  8  7        3  5
W Virginia      4  3  5       10  5  2  6  7     6  7
Stanford                10                 3 11     8  1  4  8  1  1  2
Georgetown            4     2  3  6  3     2  2  7             10
Oregon          3  1  8  7 12              9  3           8  2     7
Purdue          4  5  9       10  3  4  5  6  9           9        6
California         4       12        8  7        7        8  6  8
Tennessee            11           9  6  2     5  2              8  4  4
Butler          4  9  6     6     8  5  9  7  5          12    10 12
Iowa St         5  4  3  3 10  8                    9           2  2
Miami (Fl)      8  3        2              7                 5     6  2
Oklahoma St    10     9  9  5        7              2  2  6  7 11  3
Washington                        7 11  4        5  1  8              7
Utah               3  5                 5           6 11  9 12     8  2
Wake Forest                          9  4           2  4  2  7  7
Boston C                                7     7  4  4  6    11  3
UNLV                        5  6  8  8     8  7                   10
Baylor          3  5  3  6     3     3    11
Michigan        7 11     2  4  4  8    10
Virginia        5  1  2  1    10              4                 5
LSU                   9                 8        4  6     8        4
Vanderbilt      9              5  5  4     4           6
San Diego St          8  4  7  6  2 11          11          13
BYU                     10    14  3  7  8  8  8       12 12    12
Arkansas        8     5                    9 12  8              7 11  4

Creighton       6        3  7  8             10    10     6 12 10 10
Temple            10        9  5  7  5 11                      11  2  6
Iowa               7  7                          3 10           7     5

N Carolina St         8 12  8 11                10 10  3  9  7
Missouri                    9  2 11 10  3                 6 12  9  9  8
Texas AM           3              7  5  9  9  3 12
Wichita St     10 11  7  1  9  5                 7
Kansas St      11        9  4  8  5  2    11
Texas Tech         8                         10     6  8     6
USC            11  8                   10     5              4  6
New Mexico            7     3  5     3             12
Mississippi St                         13  8        9  2  5  3

Florida St      3              3 10  9  5
Alabama                        9                10  5  8 10  2
Minnesota       5          11       11 10           8                 7
Dayton          7  7 11 11             11             10  4       11
St John's             9           6                          9     2  3
Clemson                          12  7  7  5
Saint Joseph's     8    10                11           1  7     9
VCU            10 10  7  5  5 12 11          11       13
Georgia T                           10       10     5  3        8

S Illinois                                    4 11  7  9 11 11
Auburn                                                   10        7  1
Saint Louis              5  4  9                                   9
Colorado           8     8 10                            10
Seton Hall      9  6                            10     8          10
Providence         9  6 11                             5       10
SMU             6     6
Virginia T      9                             5
Saint Mary's    7       11     7    10    10       10
Nevada         12                             7  5  9 10
Georgia              10          10       14                 3  8
Washington St                              4  3
Charlotte                                           7  9     9  9     5

Colorado St                 8 11                         14
Richmond                             7                11
Southern Cal                               6
Tulsa                   13                               13 12     7
Arizona St              10              6                10
Pacific                    15                   13  8 12
Drake                                      5
Massachusetts            6
Oregon St          7
N Iowa            11  5              9 12       10 11 14
S Carolina      7                                     10
Murray State                   6    13          14    12    14
DePaul                                                 7           9
Penn State                       10                             7
Northwestern    8
Binghampton                            15     6
Mississippi          11    12                                   3
George Mason                      8       12    11             14
George Wash              9                   11  8 12
College of Charleston                                                 8

Wagner                                                   15
UTEP                                12             11 13
Utah State                       12 12 11       12 14    15    12 12
Southern Utah                                                  14
Air Force                                       13    11
Siena                               13  9 13                16
Sam Houston St                      14                   15
E Illinois                                                     15
IUPUI                                                    16
S Alabama                                 10    14
Texas AM CC                                  15                   Corpus Christi
Florida Atlantic                                            15
C Connecticut St                                            14    15
N Texas                                      15
C Conn St                                    16
Ball State                                                        11
Appalachian St                                                    14
Lamar                                                             16
Old Dominion                      9 11       12    12
Oral Roberts                                 14 16
Long Beach St                 12             12
Hofstra                                                        13 14
Albany                  16 15                13 16
Pepperdine                                                  10    11
N Carolina AT              16
Ohio                          13    14             13
Coast Carolina       16 16
Cal St Fullerton                          14
McNeese State                                               14
Cornell                             12 14
S Florida                     12
Houston                             13
Manhattan               13                            12 14
Mercer                  14
UC Santa Barbara                 15 15                      14
Alabama St                                            16       16
Illinois Chicago                                            15
Little Rock       12
Montana                    13       14          12 16       15
Belmont                    11 14 13       15 15 15
SE Louisiana                                       15
Farleigh Dickinson                                 16
Miss Valley St                            16
Detroit                       15
Vermont                       16    16             13 15 16
Texas San Antonio                                     16
Iona           14 13       15                   13             14 14
Southern                   16                   16
WKU                                    12 12             13
Fresno St         14                                            9  9
Cal St Northridge                      15                      13
Milwaukee               15                         12
N Arizona                                                         15
Akron                      12    15    13
Boston U                         16                         16
Nebraska                11
Bradley                                         13
San Diego                                 13             13
Davidson             10    14 13          10 13 15          13
UIC                                                   13
James Madison              16
Wyoming              12                                     11
Boise State                               14
Princeton                        13                   14       15
Indiana St                       14                            13 12
Long Island                      15
UTSA                             16
UC Irvine            13
Albany               14
Oakland                          13 14             16
Bucknell                         14              9 14
N Colorado                       15
Belmont              15
N Carolina Cent         14
Lafayette            16                                           15
Louisiana-Lafayette                                13 14          13
Cleveland St                           13
Richmond                         12
Morehead State                   13    16
Morgan State                        15 15
Radford                                16
Saint Peter's                    14
UW Milwaukee                                    11       12
Delaware                13
Yale              12
UNC Wilmington    13                                     11 13    15
Green Bay         14
UNC Greensboro                                                 16
CalSt Bakersfield 15
Holy Cross        16                         13          14 16 15
Wright State                                 14
Weber State                                  15          12
Niagara                                      16    14
Kent St        14                          9    12          10 13
M Tennessee    12 15
Winthrop       13                         13 11 15 14       16    14
Kent St        14
N Kentucky     15
E Kentucky              15                   16    15
W Kentucky                 16 16                             9 14
Delaware St                                        16
Texas Southern 16    15
N Texas                             15
S Carolina St                                            16       16
UC Davis       16
Miami (Ohio)                                 14
Chattanooga       12                   16          15
Stony Brook       13
Stephen F Austin  14 12 12             14
E Washington         13                               15
Liberty                                               16
UAB                  14                          9 11  9
Weber State       15
Vermont        13
Rhode Island   11
W Michigan              14                            11
UMBC                                      15
Ole Miss                                                     9
La Salle                   13
SE Missouri State                                                 13
Southern Miss                  9
Wofford              12 15       14 13
Cal Poly SLO            16
Portland State                            16
Harvard              13 12 14 12
Montana                       13
St Bonaventure                14                                  12
Samford                                                           13
Loyola                        15
Georgia St           14                                        11
UNC Wilmington                                   9
Jacksonvill St 15
Jackson State                                16                   16
C Michigan                                               11
Northwestern St            14                   14             16
Norfolk State                 15
Long Island                   16
S Dakota St    16 12       13 14
N Dakota St          15 12             14
Lehigh                        15    16
Robert Morris        16             15 15
Arkansas Pine Bluff                 16
Hawaii            13                                        10 12
Buffalo           14 12
Valparaiso           13    14                         15    13    16
Northeastern         14
UNC Asheville     15          16 16                      16
Austin Peay       16                      16             13
Penn                                         14 15 13    11 11    13
Princeton      12
Bucknell       13          11
Xavier         11
Florida Gulf C 14 16       15
C Florida                                          15 14
Florida AM                                            16
Mount St Mary's                           16
N Dakota       15
New Mex St     14 15 13    13 13    12       13
Louisiana-Laf        14
American             15
Weber State          16
Hampton           16 16          16                         15 15
Monmouth                                        16    15       16
Troy           15
Troy State                                            14
UNC Wilmington 12
Mt St Mary's   16
E Tenn St      13                                     13
American                               15
E Tennessee St                      16                   15

Year           17 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1  0  9

NFL playoffs

1:  Superbowl winner
2:  Superbowl loser
3:  Conference championship loser
4:  Divisional round loser
5:  Wildcard game loser


Year        17 16 15 14 13 12 11 10  9  8  7  6  5  4  3  2  1    Champ  Final  Semi  Playoffs

New England  2  1  3  1  3  3  2  4  5     2  3  4  1  1     1      5      8    12     16
Pittsburgh   4  3  4  5        5  2     1  5     1  3     4  3      2      3     7     13
Green Bay       3  4  3  5  4  4  1  5     3        5  4  5  4      1      1     4     13
Indianapolis          3  4  5     5  2  5  4  1  4  4  3  5         1      2     4     12
Seattle         4  4  2  1  4     4        4  4  2  5  5            1      3     3     11
Philadelphia 1           5        5  5  3     4     2  3  3  3      1      2     6     10
Baltimore             4     1  3  4  4  3     4        5     4      1      1     3      9
Atlanta      4  2           3  5  4     5           3     4                1     3      9
Denver             1  4  2  4  4                 3  5  5            1      2     3      8
Carolina     5     2  4  4              4        3     2                   2     3      8
Kansas City  5  4  4     5        5           5        4                                8
NY Giants       5              1        4  1  5  5        5         2      2     2      7
New Orleans  4           4     4  5  1        3                     1            1      7
Arizona            3  5              4  2           4  4     2             2     3      7
Minnesota    3     5        5        3  5           4                            2      7
Cincinnati         5  5  5  5  5     5           5                                      7
NY Jets                           3  3        5     4     4  5                   2      6
Tennessee    4                          4  5           4  3                      1      6
Dallas          4     4              4     4  5        5                                6
S Francisco              3  2  3                          4  5             1     3      5
San Diego                4           4     3  4     5                            1      5
Chicago                           3           2  4           4             2     3      4
Oakland         5                                         2  4             1     1      4
Jacksonville 3                             4     5                               1      4
Tampa Bay                                  5     5        1  5      1                   4
Washington         5        5              5     4                                      4
Houston         4  5        4  4                                                        4
Detroit         5     5        5                                                        3
Miami           5                       5                    5                          3
Los Angeles  5                                                                          2
Buffalo      5                                                                          2
Cleveland                                                 5                             1
-->
NBA history

1:  Champion
2:  Final
3:  Semifinal
4:  Quarterfinal
5:  Round of 16

Year          17 16 15 14 13 12 11 10  9  8  7  6  5  4  3  Champ   Final   Semifinal

San Antonio    3  4  5  1  2  3  5  4  5  3  1  4  1  4  1    4       5        8
Miami             4     2  1  1  2  5  5     5  1  3  4       3       5        6
Detroit           5                    5  3  3  3  2  1  3    1       2        6
Cleveland      2  1  2              4  3  4  2  4             1       4        5
LA Lakers                  5  4  4  1  1  2  5  5     2  4    2       4        4
Boston         3  5  5     5  3  4  2  4  1        5  5  4    1       2        4
Oklahoma City  5  3     3  4  2  3  5              4                  1        4
Golden State   1  2  1  5  4                                  2       3        3
Dallas            5  5  5     5  1  5  4  5  5  2  4  5  3    1       2        3
Phoenix                             3     5  4  3  3     5                     3
Indiana        5  5     3  3  4  5              5  4  3  5                     3
Orlando                       5  5  3  2  4  5           5            1        2
Brooklyn             5  4  5                 4  4  5  4  2            1        1
Atlanta        5  4  3  5  5  5  4  4  4  5                                    1
Chicago        5     4  5  4  5  3  5  5     4  5  5                           1
Memphis        5  5  4  5  3  5  4              5  5  5                        1
Toronto        4  3  5  5                 5  5                                 1
Houston        4  5  3  5  5           4  5  5     5  5                        1
Denver                     5  5  5  5  3  5  5  5  5  5                        1
Utah           4              5     4  5  4  3           5                     1
Minnesota                                             3  5                     1
Portland       5  4  5  4        5  5  5                 5
LA Clippers    5  5  4  4  5  4                 4
Milwaukee      5     5     5        5           5     5  5
Washington     4        4                 5  5  5
Charlotte         5     5           5
Washington           4                             4
New Orleans          5           5     5  4           5  5
New York                   4  5  5                    5
Philadelphia                  4  5     5  5        5     4
Golden State                                 4
Sacramento                                      5  5  4  4

Year          17 16 15 14 13 12 11 10  9  8  7  6  5  4  3

World cup history

6: Win    5: Final    4: Semifinal    3: Quarterfinal    2: Round 16    1: Round 32


Year      3 3 3 5 5 5 6 6 7 7 7 8 8 9 9 9 0 0 1 1 1   Win  Final  Semi   Quarter
          0 4 8 0 4 8 2 6 0 4 8 2 6 0 4 8 2 6 0 4 8               final  final

Germany     4 2   6 4 3 5 4 6 3 5 5 6 3 3 5 4 4 6 *    4    8     13     17
Brazil    3 2 4 5 3 6 6 2 6 4 4 3 2 3 6 5 6 3 3 4 *    5    7     11     16
Italy       6 6 3 2   2 2 5 2 4 6 2 4 5 3 2 6 1 1      4    6      8     10
Argentina 5 2       2 2     3 6 3 6 5 2 3 1 3 3 5 *    2    5      5     10
England         3 3 2 3 6 3     3 3 4   2 3 3 2 1 *    1    1      2     10
France    3 2 3 3 2 4   2     2 4 4     6 1 5 1 3 *    1    2      5      9
Spain       3   4     2 2     2 3 3 2 3 1 3 2 6 1 *    1    1      2      7
Serbia    4     3 3 3 4     3   2   3   2   1 1   *                2      7
Uruguay   6     6 4   2 3 4 2     2 2     1   4 2 *    2    2      5      6
Neth.       2 2             5 5     2 3 4   2 5 4           3      5      6
Sweden      3 4 4   5     2 3 2     1 4   2 2     *         1      4      6
Hungary     3 5   5 2 3 3     2 2 1                         2      2      5
Russia              3 3 4 3     3 2 1 1   1     1 *                1      5
Austria     4 2   4 2         3 3   1   1         *                2      4
Czech       5 3   2 2 5   2     2   3       1               2      2      4
Belgium   3 2 2   2       2     3 4 2 2 1 2     3 *                1      4
Switz.      3 3 3 3   2 2             2     2 1 2 *                       4
Mexico    3     3 2 2 2 2 3   2   3   2 2 2 2   2 *                       4
USA       4 2   3                   1 2 1 3 1 2 2                  1      3
Poland        2           3 4 3 4 2       1 1     *                1      3
Chile     3     3     4 2   2   2       2     2 2                  1      3
Paraguay  3     3   2             2     2 2 1 3                           3
Portugal                4         1       1 4 2 1 *                2      2
Romania   3 2 2           2         2 3 2                                 2
Bolivia   3     3                     1                                   2
S. Korea          2               1 1 1 1 4 1 2 1 *                1      1
Bulgaria              2 2 2 2     2   4 1                          1      1
Turkey            2                       4                        1      1
Cameroon                        2   3 1 1 1   1 1                         1
Denmark                           2     3 2   1   *                       1
Costa Rica                          2     1 1   3 *                       1
Senegal                                   3       *                       1
Ukraine                                     3                             1
India           3                                                         1
Ireland                             3 2   2                               1
Colombia              2             2 1 1       3 *                       1
Peru      3                   3 2                 *                       1
North_Korea             3                     1                           1
Ghana                                       2 3 1                         1
Japan                                   1 2 1 2 1 *
Croatia                                 4 1 1   1 *
Ecuador                                   1 2   1
Iceland                                           *
Panama                                            *
Scotland          2 2       2 2 2 1 1   1
Nigeria                               2 2 1   1 2 *
Honduras                        2             1 1
Algeria                         2 1           1 2
Ivory Coast                                 1 1 1
Iran                          2         1   1   1 *
Bosnia Herz                                     1
Greece                                1       1 2
Israel                    2
Norway        2                       1 2
El_Salvador               2     2
Tunisia                       2         1 1 1     *
UAE                                 1
South_Africa                            1 1   1
Canada                            1
N_Ireland           3           3 1                                       2
Wales               3                                                     1
Saudi_Arabia                          2 1 1 1     *
Trin_Tob                                    1    
Egypt       2                       1             *
Morocco                   2       2   1 1         *
Haiti                       2
Australia           2       2                   1
Togo                                        1
Austria                                 1
Zaire                       2
Slovakia                                1   2
Jamaica                                 1
China                                     1
Kuwait                          2
Angola                                      1
Algeria                           1           1
New_Zealand                     2             1
Iraq                              1

FA Premier League

Numbers are league rank.

Year               17  16  15  14 13 12 11 10  9  8  7  6  5  4  3  2  1  Champ  2nd  3rd

Manchester U        6   5   4   7  1  2  1  2  1  1  1  2  3  3  1  3  1    7     3    3
Chelsea             1  10   1   3  3  6* 2  1  3  2  2  1  1  2  4  6  6    5     4    3
Arsenal             5   2   3   4  4  3  4  3  4  3  4  4  2  1  2  1  2    2     4    4
Manchester City     3   4   2   1  2  1  3  5 10  9 14 15  8 16  9    18    2     2    2
Liverpool           4   8   6   2  7  8  6  7  2  4  3  3- 5  4  5  2  3          3    3
Tottenham           2   3   5   6  5  4- 5  4  8 11  5  5  9 14 10  9 12          1    1
Leicester City     12   1  14                                18    20 13    1
Newcastle U            18  15  10 16  5 12    18 12 13  7 14  5  3  4 11               1
Everton             7  11  11   5  6  7  7  8  5  5  6 11  4 17  7 15 16
Aston Villa            20  17  15 15 16  9  6  6  6 11 16 10  6 16  8  8
West Ham U         11   7  12  13 10    20 17  9 10 15  9       18  7 15
Sunderland         20  17  16  14 17 13 10 13 16 15    20       20 17  7
Stoke City         13   9   9   9 13 14 13 11 12
West Bromwich      10  14  13  17  8 10 11    20       19 17    19
Southampton         8   6   7   8 14                      20 12  8 11 10
Crystal Palace     14  15  10  11                         18
Swansea City       15  12   8  12  9 11
Burnley            16      19
Watford            17  13
Hull City          18      18  16          19 17
Middlesbrough      19                         19 13 12 14  7 11 11 12 14
Norwich City           19      18 11 12                   19
Queens Park                20     20 17
Fulham                         19 12  9  8 12  7 17 16 12 13  9 14 13
Cardiff City                   20
Wigan Athletic                    18 15 16 16 11 14 17 10
Reading                           19
Bournemouth         9  16
Boston Wanderers                     18
Blackburn Rovers                     19 15 10 15  7 10  6 15 15  6 10
Wolverhampton                        20 17 15                20            Wanderers
Bolton Wanderers                        14 14 13 16  7  8  6  8 17 16
Birmingham City                         18  9    19    18 12 10 13
Blackpool                               19
Burnley                                    18
Portsmouth                                 20 14  8  9 17 17 13
Reading                                          18  8
Derby County                                     20                19 17
Sheffield U                                         18
Charlton Athletic                                   19 13 11  7 12 14
Watford                                             20                 9
Leeds United                                                 19 15  5  4
Ipswich Town                                                       18  5
Coventry City                                                         19
Bradford City                                                         20

Football results

Euro 2016

                                              Portugal
                                   Portugal   Croatia
                        Portugal
                                   Poland     Switzerland
                                              Poland
            Portugal
                                              Belgium
                                   Belgium    Hungary
                        Wales
                                   Wales      Northern Ireland
                                              Wales
 Portugal
                                              Germany
                                   Germany    Slovakia
                        Germany
                                   Italy      Spain
                                              Italy
            France
                                              Iceland
                                   Iceland    England
                        France
                                   France     Republic of Ireland
                                              France


 A            B             C               D           E              F

*France  7   *Wales    6   *Germany   7   *Croatia 7   *Italy     6   *Hungary  5
*Switz   5   *England  5   *Poland    7   *Spain   6   *Belgium   6   *Iceland  5
 Albania 3   *Slovakia 4   *N Ireland 3    Turkey  3   *R Ireland 4   *Portugal 3
 Romania 1    Russia   1    Ukraine   0    Czech R 1    Sweden    1    Austria  1

UEFA Nations League 2019

Teams are divided into leagues A through D, in decending order of strength. At the conclusion of the tournament the top 4 teams from each league are promoted and the bottom 4 are relegated.

Each leagues are divided into 4 groups which play a double round robin. In league A the winner of each group advances to a 4-team knockout round.

A             B           C            D

Germany       Austria     Hungary      Azerbaijan
Portugal      Wales       Romania      Macedonia
Belgium       Russia      Scotland     Belarus
Spain         Slovakia    Slovenia     Georgia
France        Sweden      Greece       Armenia
England       Ukraine     Serbia       Latvia
Switzerland   R Ireland   Albania      Faroe Islands
Italy         Bosnia H    Norway       Luxembourg
Poland        N Ireland   Montenegro   Kazakhstan
Iceland       Denmark     Israel       Moldova
Croatia       Czech R     Bulgaria     Leichtenstein
Netherlands   Turkey      Finland      Malta
                          Cyprus       Andorra
                          Estonia      Kosovo
                          Lithuania    San Marino
                                       Gibraltar

Copa America Centenario 2016

                               Chile
                    Chile      Mexico
         Chile
                    Colombia   Peru
                               Colombia
 Chile
                               USA
                    USA        Ecuador
         Argentina
                    Argentina  Venezuela
                               Argentina


 A               B             C              D

*USA        6   *Peru     7   *Mexico    7   *Argentina 9
*Colombia   6   *Ecuador  5   *Venezuela 7   *Chile     6
 Costa Rica 4    Brazil   4    Uruguay   3    Panama    3
 Paraguay   1    Haiti    0    Jamaica   0    Bolivia   0


Qualifiers:

All ten South American teams qualify automatically
USA and Mexico qualify automatically
Jamaica qualified by winning the Caribbean Cup
Costa Rica qualifed by winning the Copa Centramericana

Copa America 2015

                                 Chile
                      Chile      Uruguay
          Chile
                      Peru       Bolivia
                                 Peru
 Chile
                                 Paraguay
                      Paraguay   Brazil
          Argentina
                      Argentina  Colombia
                                 Argentina


 A             B               C

*Chile   7    *Argentina 7    *Brazil    6
*Bolivia 4    *Paraguay  5    *Peru      4
 Ecuador 3    *Uruguay   4    *Colombia  4
 Mexico  2     Jamaica   0     Veneuzela 3


 3rd place:  Peru def. Paraguay

CONCACAF Gold Cup 2015

                             Mexico
                    Mexico   Costa Rica
          Mexico
                    Panama   Trinidad and Tobago
                             Panama
 Mexico
                             USA
                    USA      Cuba
          Jamaica
                    Jamaica  Haiti
                             Jamaica


 A             B                C

*USA      7   *Jamaica     7   *Trinidad T 7
*Haiti    4   *Costa Rica  3   *Mexico     5
*Panama   3    El Salvador 2   *Cuba       3
 Honduras 1    Canada      2    Guatemala  1

Playoff to determine qualifiers for the Copa America.

Panama   def.   Cuba
Haiti    def.   Trinidad and Tobago

Qualifying for the CONCACAF Gold Cup.

USA           Automatic
Mexico        Automatic
Canada        Automatic
Costa Rica    Copa Centroamericana #1
Guatemala     Copa Centroamericana #2
Panama        Copa Centroamericana #3
El Salvador   Copa Centroamericana #4
Jamaica       Caribbean #1
Trinidad T    Caribbean #2
Haiti         Caribbean #3
Cuba          Caribbean #4
Honduras      Copa Centroamericana #5       Had to defeat Caribbean #5 in a playoff.

CONCACAF Gold Cup 2017

                               USA
                   USA         El Salvador
         USA
                   Costa Rica  Panama
                               Costa Rica
USA
                               Mexico
                   Mexico      Honduras
         Jamaica
                   Jamaica     Canada
                               Jamaica


 A                  B               C

*Costa Rica    7   *USA        7   *Mexico      7
*Canada        5   *Panama     7   *Jamaica     5
*Honduras      4    Martinique 3   *El Salvador 4
 French Guiana 0    Nicaragua  0    Curacao     0


Copa Centroamericana 2014

1st place match:   Costa Rica  def.  Guatemala   2-1
3rd place match:   Panama      def.  El Salvador 1-0
5th place match:   Honduras    def.  Nicaragua   1-0


 A                 B

*Guatemala    9   *Costa Rica   4
 El Salvador  6    Panama       4
 Honduras     3    Nicaragua    0
 Belize       0

Caribbean Cup 2014

1st place match:   Jamaica     def.  Trinidad T  0-0
3rd place match:   Haiti       def.  Cuba        2-1


 A                   B

*Trinidad T    7    *Jamaica             1
 Cuba          5     Haiti               4
 French Guinea 4     Martinique          4
 Curacao       0     Antigua and Barbuda 1

Asia Cup 2015

                                     Australia
                        Australia    China
           Australia
                        UAE          Japan
                                     UAE
Australia
                                     Iraq
                        Iraq         Iran
           South Korea
                        South Korea  Uzbekistan
                                     South Korea

3rd place:  UAE def. Iraq

 A              B               C            D

*S Korea   9   *China      9   *Iran    9   *Japan     9
*Australia 6   *Uzbekistan 6   *UAE     6   *Iraq      6
 Oman      3    S Arabia   3    Bahrain 3    Jordan    3
 Kuwait    0    N Korea    0    Qatar   0    Palestine 0

Asian EAFF E-1 Football Championship, 2017

 1st round          2nd round         Final round

*Taiwan       9    *N Korea    9     *S Korea      7
 Mongolia     4     Hong Kong  6      Japan        6
 Macau        4     Taiwan     3      China        2
 N Mariana Is 1     Guam       0      N Korea      1

South Asian SAFF Championship, 2015

                      India
         India        Maldives
India
         Afghanistan  Sri Lanka
                      Afghanistan


 A              B

*India     6   *Afghanistan 9
*Sri Lanka 3   *Maldives    6
 Nepal     0    Bangladesh  3
                Bhutan      0

East Asian AFF Championship, 2016

                      Indonesia
           Indonesia  Vietnam
Indonesia
           Thailand   Myanmar
                      Thailand

 A                 B

*Thailand    9    *Vietnam  9
*Indonesia   4    *Myanmar  6
 Philippines 2     Malaysia 3
 Singapore   1     Cambodia 0

West Asian WAFF Championship, 2014

                 Qatar
        Qatar    Kuwait
Qatar
        Jordan   Bahrain
                 Jordan


 A              B            C

*Qatar     6   *Bahrain 2   *Jordan  4
 Palestine 1    Iraq    2   *Kuwait  3
 S Arabia  1    Oman    2    Lebanon 1

Oceana OFC Nations Cup 2016

                                  New Zealand
               New Zealand        New Caledonia
New Zealand
               Papua New Guinea   Solomon Islands
                                  Papua New Guinea


 A                  B

*Papua NG      5   *New Zealand     9
*New Caledonia 5   *Solomon Islands 3
 Tahiti        5    Fiji            3
 Samoa         0    Vanuatu         3

Africa Cup of Nations 2015
                                          Ivory Coast
                            Ivory Coast   Algeria
              Ivory Coast
                            DR Congo      Congo
                                          DR Congo
Ivory Coast
                                          Eq Guinea
                            Eq Guinea     Tunisia
              Ghana
                            Ghana         Guinea
                                          Ghana


 A                 B               C                 D

*Congo        7   *Tunisia    5   *Ghana        6   *Ivory Coast 5
*Eq Guinea    5   *DR Congo   3   *Algeria      6   *Guinea      3
 Gabon        3    Cape Verde 3    Senegal      4    Mali        3
 Burkina Faso 1    Zambia     2    South Africa 1    Cameroon    2

Sports records
                 Men      Women
   50 meter      5.47      5.96  seconds
   60 meter      6.31      6.92  seconds
  100 meter      9.58     10.49  seconds
  200 meter     19.19     21.34  seconds
  400 meter     43.18     47.60  seconds
  800 meter    100.91    113.28  seconds
 1000 meter    131.96    148.98  seconds
 1500 meter    206.00    230.07  seconds
 5000 meter  12:37.35  14:11.15  seconds
10000 meter  26:17.53  29:31.78  seconds
Marathon      2:02:57   2:17:42  seconds
40 km         1:56:29            seconds
90 km         5:20:49            seconds
4x100 meter     36.84     40.82  seconds
4x200 meter     78.63     87.46  seconds
4x400 meter    174.29    195.17  seconds
High jump        2.45      2.09  meters
Pole vault       6.16      5.06  meters
Long jump        8.95      7.52  meters
Shot put        23.12     22.63  meters    Men=7.26 kg.  Women=4.0 kg
Discus          74.08            meters
Hammer          86.74            meters
Javelin         98.48     72.28  meters
Broad jump       3.73            meters
Baseball pitch  46.98     30.85  meters/second

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