Eigenranking

edited March 21 in Assignments

(10 pts)

For this assignment, you'll use our Eigenranking technique to rank a small sports league. So here's your problem:

Use this webpage to generate some data for a league with five teams. Then, use this Python code to rank the teams. Report your results here.

Comments

  • edited March 22

    My matrix was:

    matrix = [

      [0,2,1,2,4],

      [4,0,4,4,2],

      [4,2,0,1,2],

      [3,2,4,0,4],

      [4,1,4,4,0]

    ]


    The ranking for my league is:

    Team 2: rating = 0.5165517842331686
    Team 4: rating = 0.48670829470439997
    Team 5: rating = 0.47767125643216296
    Team 1: rating = 0.3784150823149017
    Team 3: rating = 0.3534423380504801
    

    Team 2 is the best.

    mark
  • My team matrix: [

      [0,3,3,2,2],

      [4,0,1,3,1],

      [1,4,0,4,2],

      [2,1,3,0,2],

      [3,1,4,2,0]

     }

    Team 3: rating = 0.4848807961654844
    Team 5: rating = 0.47317429197368976
    Team 1: rating = 0.4632070845269747
    Team 2: rating = 0.4163867448282543
    Team 4: rating = 0.39122624975897735
    

    Team 3 had the highest rating at 0.48488.

    mark
  • My matrix was:

      [0, 1, 3, 1, 2],

      [2, 0, 1, 3, 1],

      [2, 4, 0, 1, 3],

      [2, 3, 1, 0, 1],

      [4, 2, 2, 2, 0]

    My ranking was:

    Team 3: rating = 0.5273129974036033
    Team 5: rating = 0.5215157378625016
    Team 1: rating = 0.4172591286356548
    Team 4: rating = 0.3713873702087703
    Team 2: rating = 0.3713873702087703
    


    mark
  • My matrix is:

    matrix = [

      [0,3,4,1,3],

      [4,0,1,3,4],

      [4,3,0,4,4],

      [4,1,4,0,2],

      [2,4,3,4,0],

    ]

    The ranking for my league is below. Team 3 is the highest ranked in the league.

    Team 3: rating = 0.5176519293474793
    Team 5: rating = 0.4613383888892107
    Team 2: rating = 0.4237581736661745
    Team 1: rating = 0.41451885767177027
    Team 4: rating = 0.4096419141952378
    


    mark
  • edited March 22

    My team matrix

    [0,2,0,1,2,1,0,2],

      [1,0,1,2,1,0,2,2],

      [2,2,0,2,2,2,2,2],

      [2,1,0,0,1,2,2,2],

      [0,2,0,2,0,1,1,0],

      [2,2,1,1,2,0,2,2],

      [2,1,1,0,2,1,0,2],

      [0,1,0,0,2,0,0,0]

    Team 3: rating = 0.5330684574735053
    Team 6: rating = 0.44328808110881446
    Team 4: rating = 0.3658903880213609
    Team 2: rating = 0.3361884024157472
    Team 7: rating = 0.3288985633701758
    Team 1: rating = 0.2800826887310974
    Team 5: rating = 0.27160622973048154
    Team 8: rating = 0.10974860949549743
    

    Team 3 is the best

    mark
  • My matrix is

    [0,4,2,2,4]

    [3,0,1,4,4]

    [1,2,0,1,2]

    [2,2,4,0,1]

    [4,2,4,3,0]

    The ranking for the league is:

    Team 1: rating = 0.5184926437130086
    Team 2: rating = 0.5124889651579149
    Team 5: rating = 0.5112730954121437
    Team 4: rating = 0.3571588647222856
    Team 3: rating = 0.28205993381697697
    

    So team 1 is the best. Go team 1!!

    mark
  • My matrix was : [

    [0,1,2,3,1],

    [2,0,4,2,4],

    [1,2,0,4,1],

    [4,3,2,0,3],

    [3,4,3,4,0] ]

    Team 5: rating = 0.5552749621639953
    Team 2: rating = 0.493080305685833
    Team 4: rating = 0.4796470095274982
    Team 3: rating = 0.3560934619397378
    Team 1: rating = 0.3027832907437918
    

    Team 5 was the best.

    mark
  • AbSAbS
    edited March 22

    My matrix was:

    matrix = [

      [0,1,4,3,3],

      [2,0,2,4,3],

      [3,3,0,3,2],

      [2,1,1,0,2],

      [3,1,3,1,0]

    ]

    and my ranking was:

    Team 3: rating = 0.5054388063612655
    Team 1: rating = 0.5016207712530641
    Team 2: rating = 0.48157957363128245
    Team 5: rating = 0.4108981576640922
    Team 4: rating = 0.30356553355238997
    

    Team 3 was the best.

    mark
  • edited March 22

    My team matrix: [

      [0, 1, 1, 3, 1],

    [2, 0, 2, 2, 2],

    [3, 4, 0, 1, 4],

    [1, 4, 1, 0, 2],

    [4, 3, 2, 3, 0]

    ]

    The ranking for the league was:

    Team 3: rating = 0.5616064344284055
    Team 5: rating = 0.5279808500356232
    Team 2: rating = 0.4002177984108782
    Team 4: rating = 0.3946242396754421
    Team 1: rating = 0.29988640866168415
    

    Team 3 was the best.

    mark
  • Here is my Matrix:

    M=[

    [0,4,1,2,3],

    [4,0,2,1,4],

    [3,4,0,4,4],

    [1,3,2,0,2],

    [3,4,3,1,0]

    ]


    And here is my team ranking:

    Team 3: rating = 0.5621626778711195
    Team 5: rating = 0.45596356825094614
    Team 2: rating = 0.4451535544402384
    Team 1: rating = 0.40012824676275205
    Team 4: rating = 0.34322885535517655
    


    mark
  • My matrix: [

    [0,4,1,1,4],

     [1,0,1,2,3],

      [1,3,0,1,4],

      [2,3,1,0,1],

      [1,1,1,4,0]

    ]

    Eigenranking:

    Team 1: rating = 0.5312098699110835
    Team 3: rating = 0.4855376577979557
    Team 4: rating = 0.408991251670405
    Team 5: rating = 0.39800103471102516
    Team 2: rating = 0.39546250061814175
    

    Team 1 is the best.

    mark
  • edited March 22

    My matrix is:

    matrix = [

      [0,4,2,1,4],

      [4,0,2,3,1],

      [3,1,0,3,2],

      [1,1,1,0,4],

      [4,4,1,2,0]

    ]

    Team 1: rating = 0.5079982820145703
    Team 5: rating = 0.5032938392103756
    Team 2: rating = 0.4485785148338271
    Team 3: rating = 0.4101302319490532
    Team 4: rating = 0.34525869395863085
    

    That means Team 1 was the best but doesn't look like it is by too much.

    mark
  • My matrix:[

    [0, 4, 2, 2, 1],

    [1, 0, 4, 4, 1],

    [1, 3, 0, 4, 4],

    [1, 3, 2, 0, 1],

    [2, 1, 4, 1, 0]

    ]


    Team 3: rating = 0.5317387251068555
    Team 2: rating = 0.4743664736534873
    Team 1: rating = 0.43963279846587106
    Team 5: rating = 0.41258201033241837
    Team 4: rating = 0.3587888852214044
    


    Clearly, team 3 has the advantage. However, since this is bling archery, you can never tell who will pull out on top.

    mark
  • edited March 22

    My matrix is

    matrix = [

      [0,1,3,2,4],

      [2,0,2,2,2],

      [3,1,0,1,3],

      [4,4,3,0,3],

      [2,4,4,4,0]

    ]

    Team 5: rating = 0.5369571232846212
    Team 4: rating = 0.5349109263288253
    Team 1: rating = 0.4288594144453331
    Team 3: rating = 0.35096444755792117
    Team 2: rating = 0.34416697668415475
    

    Team 5 was the best, followed very closely by team 4.

    mark
  • edited March 22

    My Matrix was ;

    matrix = [

    [0,2,1,3,3],

    [3,0,4,3,4],

    [1,1,0,1,4],

    [1,2,2,0,2],

    [4,1,3,2,0]

    ]

    Eigen Ranking ;


    My best team being Team 2 by far.

    mark
  • My matrix was

    matrix = [

       [0,   4,   4,   4,   2],

       [2,   0,   3,   4,   4],

       [3,   1,   0,   3,   3],

       [2,   1,   1,   0,   1],

       [2,   3,   2,   2,   0]

    ]


    The eigenranking was

    Team 1: rating = 0.5676428888501164
    Team 2: rating = 0.5140250259852949
    Team 3: rating = 0.4266803335123048
    Team 5: rating = 0.4096681506358447
    Team 4: rating = 0.25234048971012685
    

    And team 1 was the best.

    mark
  • My matrix was matrix = [

      [0,2,4,1,1],

      [1,0,3,2,1],

      [3,4,0,1,2],

      [1,3,3,0,4],

      [4,3,1,4,0]

    ]

    The eigen ranking was:

    Team 5: rating = 0.5351649756702808
    Team 4: rating = 0.516996248452163
    Team 3: rating = 0.43493231817629663
    Team 1: rating = 0.3710347855055461
    Team 2: rating = 0.3456593618764917
    

    Team 5 was the best team.

    mark
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