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Hierank
"The Season's Final Score"

A content platform built on a proprietary power-ranking & scoring algorithm which specializes in ranking large, disparate, quasi-tiered leagues of competitive teams or interests against each other, based on multitudes of head-to-head interactions.

Key Opportunities:
NCAAF, NCAAM, All NCAA sports, High School Athl. Associations, World & European Soccer.

Prototype staging at:
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www.hierank.com
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Slow-load, non-cached, pulls from sheet in real time. But check out the search filter, sorting, & Column Selection functions (thanks Ajay!)
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The richest team-level content is still viewable in google ranking & team sheets
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https://docs.google.com/spreadsheets/d/1CulakelQVgV4jZ9KE2SEQjIPB3YIvetEVCTkKc1F2ks/edit?usp=sharing
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Sheet Tab Contents:
Use Sandwhich Button (=) in bottom-left of sheet to quickly navigate tab-to-tab.

- 1 Info & Definitions
 - 2-4 League Rankings
 - 5-15 10 FBS Conferences + Independents
 - 16-28 13 FCS Conferences
 - 29-282 254 CFB Teams (alphabetical by ESPN shorthand)
 - 283-End Analyses/Weekly Summaries
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Proceed to CFB HIERANK tab to see all Div. I teams ranked, 1-253 >>
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BASIC DEFINITIONS
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Decision Quality (DQ) -
How strongly a game was decided For/Against a team, with 0 meaning a very neutral outcome & higher-magnitude values being more certain.
[DQ = Sqrt of score spread. For each period of OT, divide result by 2.]
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Schedule Dominance (SD) -
How well a team performed directly against all their opponents. Affected mostly by Wins/Losses (pos./neg.), then by score differentials.
[SD = Season DQ average]
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Comparative Quality (CQ) -
How a team performed against their opponent vs how well others performed against that opponent.
[CQ = DQ + oppSD]
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Comparative Dominance (CD) -
How well a team performed against all their opponents, compared to all of those opponents' other opponents, on average.
[CD = Season CQ Average]
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Hierarchial Quality (HQ) -
Signals quality of opponent by looking at other coutcomes for opponent, opponents' opponents, opponents' opponents' opponents, etc.
[HQ = (HQ0 + 2HQ1 + 4HQ2 + 8HQ3 + 16HQ4 + 32HQ5)/6]
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Hierarchial Dominance (HD) -
Aggregate value of all opponents' quality (i.e. schedule difficulty, quality wins, bad losses).
[HD = Season HQ Average]
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Performance Quality (PQ) -
How much a single game outcome contributed to overall season-dominance, all things considered.
[PQ = 1/6DQ + 1/3CQ + 1/2HQ]
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OVERALL DOMINANCE (OD) -
[(1/6)SD + (1/3)CD + (1/2)HD = OD]
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[OD = Season PQ Average*]
*Late-season 'bid' games (any rewarded or stakes game - i.e. bowl or playoff) have a weight of 2 when won, 1 when lost.
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HIERANK POWER -
0-100 Rating, indexed using Overall Dominance, marking 50 Power at 0 OD (simply meaning the most neutral/average/median team), pinning 0 or 100 to the most-extreme positive or negative dominance value, and scaling both sides equally from there (so there likely won't be a zero AND a 100).

HIERANK POWER is Hierank's primary output value.
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HIERANK -
Ranking, based on Hierank Power, for any given team.
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VOLATILITY -
0-100 Rating, corresponding to how inconsistent a team can perform (higher Volatility = less consistent) - up or down - from their average Power state.
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NORMAL POWER -
Range of Power that a team is likely to exhibit in any given performance, considering their Hierank Power & Volatility
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*All calculations are done with numbers that have zero(0) as the center, and +/- representing Positive/Negative outcomes at varying extremes.
**After all calculations are made, Rating Values are indexed 0-100 with 50 at zero.
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