15 November

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• ФОРМУЛА 1 •
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• БЕНДИ •
• ЭКОНОМИКА •

Гостевая

271314@mail.ru

ФУТБОЛ

ШАХМАТЫ

У.Е.НОТА

ХОККЕЙ

ТЕННИС

ЭКОНОМИКА

ОЛИМПИАДЫ

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	21	87	45
34	Matthews	MAT	117	109	84	8	25	63	29
34	Mease	MEA	117	109	89	8	20	7	23
34	SportsDoc	SD	117	104	91	13	13	44	35
34	WAJL10	WAJ	117	112	88	5	24	51	53
40	BMC	BMC	118	111	94	7	17	81	80
40	Claassen	CLA	118	111	85	7	26	41	40
40	Coffey	COF	118	110	89	8	21	62	37
40	Massey COMP	CONS	118	108	80	10	28	34	28
40	Eck	ECK	118	105	84	13	21	10	66
40	Flyman	FLY	118	105	87	13	18	24	65
40	Fleming	FMG	118	106	92	12	14	69	49
40	Massey	MAS	118	108	90	10	18	36	20
40	Reese	RSE	118	110	91	8	19	4	41
40	Sauceda	SAU	118	113	93	5	20	50	30
40	UCS	UCS	118	104	94	14	10	66	63
51	Bassett	BAS	119	112	93	7	19	79	44
51	BoCaDuck	BCD	119	105	84	14	21	5	59
51	Boyer-DeSimone	BD	119	107	86	12	21	39	47
51	Bobcat	BOB	119	108	82	11	26	95	22
51	Greenfield	GRN	119	104	90	15	14	29	13
56	CSL	CSL	120	114	91	6	23	48	71
56	Dwiggins	DWI	120	105	87	15	18	55	55
56	Pigskin	PIG	120	120	103	0	17	84	74
56	Self	SEL	120	99	81	21	18	28	8
60	ARGH	ARG	121	112	95	9	17	47	39
60	Colton	CTN	121	106	89	15	17	45	50
60	Elrod	ERD	121	113	92	8	21	65	83
60	Hermrats	HER	121	105	91	16	14	31	36
60	Howell	HOW	121	117	92	4	25	73	54
60	Maurer	MAU	121	128	105	-7	23	53	70
60	Mark	MRK	121	111	89	10	22	13	48
60	PerformanZ	PRZ	121	116	99	5	17	59	52
60	Sagarin	SAG	121	110	92	11	18	35	19
60	Whitlock	WLK	121	112	99	9	13	49	42
70	Holland	HOL	122	104	89	18	15	11	73
70	Imes	IMS	122	109	85	13	24	30	69
72	Daniel	DAN	123	109	88	14	21	14	62
72	Stephens-Sabey	SS	123	115	95	8	20	83	76
74	Hatch	HAT	124	110	97	14	13	94	93
74	Ranma	RAN	124	116	95	8	21	64	85
76	Born	BRN	125	125	104	0	21	77	88
76	Congrove	CGV	125	118	97	7	21	46	89
76	Tellshow	TSW	125	120	97	5	23	71	86
78	P-Rating Real	P10	125	119	99	6	20	6	95
79	Marsee	MAR	126	122	103	4	19	72	78
80	Gindin	GRS	127	112	86	15	26	76	87
81	Gupta	GUP	129	114	92	15	22	99	96
82	Krueger	KGR	130	116	95	14	21	58	61
82	Moore	MOR	130	127	102	3	25	91	92
84	Solecismic	SOL	131	122	100	9	22	98	81
85	Dolphin Pred	DP	132	118		14	118	56	77
85	Matschke	MKE	132	118	97	14	21	97	84
87	E-Rating	ER	134	110	87	24	23	88	79
88	Laz	LAZ	135	124	100	11	24	75	75
89	Pankratz	PFZ	136	119	108	17	11	57	90
90	Markov	MKV	140	127	104	13	23	78	91
91	YourLinx	YL	142	140	113	2	27	96	99
92	Dokter	DOK	146	129	101	17	28	90	94
93	Kambour	KAM	148	129	108	19	21	80	97
94	Reid	REI	149	138		11	138	74	98