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It is the next version of a rank of ranks.

Kenneth Massey has made a remarkable thing - has collected about hundred ranking systems of College Football teams. And having assumed, that as behind everyone ranking authors stand and all of them are equal and are the experts as though armed with mathematics. And time so that is naturally simple to calculate certain average ranking, for example, by summing ranks of teams.

As has truly noticed by Kenneth Massey models of an estimation of validity of ranks much. Probably as much how many models of ranks.

More or less the general structure probably is fair

ESTIMATION of the MISTAKE = IMPORTANCE of MISTAKE * SIZE of  MISTAKE

Here:

IMPORTANCE of MISTAKE =
                           ESTIMATION of WINNER'S RANK  + ESTIMATION of DEFEATED RANK

SIZE of MISTAKE = ESTIMATION of  DEFEATED RANK  - ESTIMATION of WINNER'S RANK

It results in beautiful expression:

ESTIMATION of MISTAKE =
                        ESTIMATION of RANK DEFEATED ^ 2 - ESTIMATION of WINNER'S RANK ^ 2

In the previous version the elementary estimation of the RANK of participants was used

1. RANK ESTIMATION = N - RANK

However it is only one of possible elementary arithmetic expressions.

To look as influence various  estimation models of the RANK, I used one another expressions

2. RANK ESTIMATION = N / RANK - gives more "attention" to the top rank

15 November 2003
RnkM Links ABR M-11 M-10 M9 Add11 Add10 N/R N-R
1 Slots SLT 91 63 49 28 14 67 34
2 Massey BCS MB 94 90 70 4 20 26 6
3 Sports TSR 105 103 77 2 26 1 1
4 Dolphin DOL 106 100 91 6 9 18 17
5 Wilson WIL 108 101 78 7 24 21 4
6 CPA Retro CPR 109 99 79 10 20 82 3
7 Craig CRD 110 108 83 2 25 54 27
7 McCormick MCK 110 104 82 6 22 17 2
7 MJS MJS 110 110 90 0 20 12 67
10 Colley COL 112 109 85 3 24 25 57
10 CPA CPA 112 104 84 8 20 93 56
10 E-Rating Real E31 112 120 101 -8 19 85 24
10 Random Monkeys RM 112 106 84 6 22 61 15
10 Rothman RTH 112 99 84 13 15 23 5
10 Welch WEL 112 113 88 -1 25 19 60
15 Dunkel DUN 113 115 91 -2 24 89 82
15 Maas MAA 113 106 85 7 21 86 25
17 Anderson AND 114 109 89 5 20 9 31
17 Bowl Champ Series  BCS 114 109 80 5 29 20 16
17 DeSimone DES 114 109 88 5 21 40 68
17 Wobus WOB 114 106 84 8 22 8 32
21 Montgomery MGY 115 109 89 6 20 68 33
21 New York Times NYT 115 103 79 13 24 92 58
21 Rudacille RUD 115 106 91 9 15 37 14
21 Sagarin-Elo SE 115 107 80 8 27 22 7
21 Suni SUN 115 115 87 0 28 60 43
21 Wolfe WOL 115 106 81 9 25 15 11
27 Armstrong ARM 116 106 89 10 17 38 21
27 Ashburn ASH 116 107 86 9 21 32 12
27 Billingsley BIL 116 111 85 5 26 27 38
27 McMurry MMY 116 107 90 9 17 33 10
27 Palm PSR 116 108 87 8 21 70 72
27 Rager RAG 116 106 89 10 17 42 64
27 Sorensen SOR 116 104 86 12 18 52 26
34 Bihl BIH 117 102 83 15 19 16 9
34 Kiser KIS 117 102 81 15