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From:
charlie shub <[log in to unmask]>
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Date:
Tue, 20 Feb 2018 10:22:38 -0700
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Thank you very much.


On 2/20/2018 10:10 AM, Bill Fenwick wrote:
> By request, here are the Playoff Permutations for Atlantic Hockey's last
> weekend.  I'm enough of a math geek that I actually enjoy doing stuff 
> like
> this -- but I realized a little late that when the first-place team is
> separated from the last-place team by only ten points, things get really
> ugly really fast.
>
> Going into the final weekend of league play, here's a breakdown of where
> each team in Atlantic Hockey could finish.  For each AHA team, I've 
> listed
> the following:
>
> THIS WEEKEND:  The team's weekend game(s), its last one or two of the 
> season.
> ON THEIR OWN:  The highest the team could finish with no help from the
>       competition.  Generally, this involves a weekend sweep.
> BEST CASE:  The highest the team could finish if everything goes right.
> WORST CASE:  The lowest the team could finish if everything goes wrong.
>       This generally involves getting swept while teams nearby in the
>       standings win.
> TIEBREAKERS:  How the team would fare if they finished the season tied 
> with
>       some other team which is currently close (i.e. within 4 points) 
> in the
>       standings.  Note that there may be cases in which Team A "could 
> win or
>       lose" the tiebreaker against Team B, depending on whether there are
>       more than just those two teams tied.  For instance, Air Force 
> wins the
>       head-to-head tiebreaker against Canisius with a 3-1 record (0.750);
>       however, in a three-way tie involving these two and Army West 
> Point,
>       Air Force would actually be seeded lower than Canisius.  If a 
> listed
>       tiebreaker result depends on more than just those two teams being
>       tied, it is marked with an asterisk:
>
>            Air Force could win or lose* against Canisius
>
> For two or more teams tied in the standings, the Atlantic Hockey 
> tiebreakers
> are:
>
> 1.   Head-to-head winning percentage in AHA games (non-conference 
> meetings,
>      such as in tournaments, do not count).
> 2.   League wins.
> 3.   Goal differential (net goals) head-to-head.
> 4.   Goals allowed head-to-head.
> 5.   Head-to-head winning percentage against teams in descending order in
>      the standings, starting with #1.
> 6.   Goal differential against teams in descending order in the 
> standings,
>      starting with #1.
>
> Note that if the tie is among three or more teams, the tiebreaking 
> steps are
> used in order until a team, or multiple teams, is/are separated from the
> "pack".  Once that happens, the process starts all over to break the 
> remaining
> ties.  For example, when the above steps are applied to a four-way 
> tie, once
> one team is separated out leaving a three-way tie, the procedure goes 
> back to
> the first step with the three remaining tied teams.
>
>
> Here's a look at Atlantic Hockey's final weekend:
>
> Mercyhurst:
>       THIS WEEKEND:  At RIT, at RIT.
>       ON THEIR OWN:  Three points will give the Lakers first place.
>       BEST CASE:  First.
>       WORST CASE:  Finishes second if they lose twice and Canisius 
> gets at
>       least two points.
>       TIEBREAKERS:  Loses to Canisius.
>
> Canisius:
>       THIS WEEKEND:  Niagara, at Niagara.
>       ON THEIR OWN:  Clinches second with two points on the weekend.
>       BEST CASE:  Rises to first with a pair of wins if Mercyhurst 
> gets no
>       more than two points.
>       WORST CASE:  Drops to fifth with two losses if Holy Cross wins, Air
>       Force gets exactly three points, RIT sweeps, and Army West Point 
> does
>       not win twice.  This sets up a three-way tie for third among 
> Canisius,
>       Holy Cross, and Air Force, with the tiebreakers putting the Golden
>       Griffins fifth.
>       TIEBREAKERS:  Beats Mercyhurst and Army West Point; could win or 
> lose
>       against RIT; could win* or lose against Air Force; could win or 
> lose*
>       against Holy Cross and Robert Morris.
>
> Holy Cross:
>       THIS WEEKEND:  American International.
>       ON THEIR OWN:  Takes fifth place with a win.
>       BEST CASE:  Gets second if they win, Canisius loses twice, Air 
> Force
>       gets exactly three points, and RIT gets no more than two points.
>       This sets up a three-way tie for second among Holy Cross, Canisius,
>       and Air Force, with the tiebreakers giving Holy Cross second.
>       WORST CASE:  Would fall to eighth if they lose, Air Force and 
> Robert
>       Morris split their games (or tie twice), RIT gets at least two 
> points,
>       Army gets at least three points, and American International also 
> beats
>       Bentley.  This sets up a three-way tie for sixth among Holy Cross,
>       Robert Morris, and American International, with the tiebreakers 
> putting
>       the Crusaders eighth.
>       TIEBREAKERS:  Beats Air Force and Army West Point; loses to Robert
>       Morris and American International; could win* or lose against 
> Canisius
>       and RIT.
>
> Air Force:
>       THIS WEEKEND:  At Robert Morris, at Robert Morris.
>       ON THEIR OWN:  Guarantees third with a sweep.
>       BEST CASE:  Finishes second with two wins if Canisius gets no 
> more than
>       one point.
>       WORST CASE:  Slides to ninth if they lose twice, RIT does not 
> get swept,
>       Army gets at least two points, and American International and 
> Niagara
>       both win twice.
>       TIEBREAKERS:  Loses to Holy Cross; could win* or lose against 
> Army West
>       Point and Niagara; could win or lose* against Canisius, RIT, and
>       American International.
>
> RIT:
>       THIS WEEKEND:  Mercyhurst, Mercyhurst.
>       ON THEIR OWN:  A sweep wraps up fourth place.
>       BEST CASE:  Would take second with two wins if Canisius gets no 
> more
>       than one point and Air Force does not sweep.
>       WORST CASE:  Ends up in ninth place with two losses if Robert 
> Morris
>       and Army each get at least two points and American International 
> and
>       Niagara each win twice.
>       TIEBREAKERS:  Beats Robert Morris; loses to Niagara; could win or
>       lose against Canisius; could win* or lose against Air Force; could
>       win or lose* against Holy Cross, Army West Point, and American
>       International.
>
> Robert Morris:
>       THIS WEEKEND:  Air Force, Air Force.
>       ON THEIR OWN:  Will clinch fourth place with two wins.
>       BEST CASE:  Climbs to second with a sweep if Canisius loses twice,
>       Holy Cross wins, RIT gets no more than two points, and Army does 
> not
>       sweep.  This sets up a three-way tie for second among Robert 
> Morris,
>       Canisius, and Holy Cross, and the tiebreakers would give Robert 
> Morris
>       second place.
>       WORST CASE:  Finishes tenth if they get swept, Army does not lose
>       twice, American International gets at least three points, and 
> Niagara
>       sweeps.
>       TIEBREAKERS:  Beats Holy Cross, American International, Niagara, 
> and
>       Sacred Heart; loses to RIT; could win* or lose against Canisius; 
> could
>       win or lose* against Army West Point.
>
> Army West Point:
>       THIS WEEKEND:  Sacred Heart, Sacred Heart.
>       ON THEIR OWN:  Two wins will wrap up sixth place.
>       BEST CASE:  Gets third with a sweep if Holy Cross does not win, RIT
>       gets no more than two points, and Air Force and Robert Morris split
>       their games (or tie twice).
>       WORST CASE:  Falls to eleventh with two losses if American Inter-
>       national gets at least three points and Niagara wins twice.
>       TIEBREAKERS:  Beats Niagara; loses to Canisius and Holy Cross; 
> could
>       win* or lose against RIT, Robert Morris, and Sacred Heart; could 
> win
>       or lose* against Air Force and American International.
>
> American International:
>       THIS WEEKEND:  At Holy Cross, at Bentley.
>       ON THEIR OWN:  Will get seventh place with a sweep.
>       BEST CASE:  Clinches fourth with two wins if either Air Force or
>       Robert Morris sweeps, RIT loses twice, and Army West Point gets no
>       more than one point.
>       WORST CASE:  Drops to eleventh if they lose twice and Niagara and
>       Sacred Heart each get at least two points.
>       TIEBREAKERS:  Beats Holy Cross and Sacred Heart; loses to Robert
>       Morris; could win or lose against Niagara; could win* or lose 
> against
>       Air Force, RIT, Army West Point, and Bentley.
>
> Niagara:
>       THIS WEEKEND:  At Canisius, Canisius.
>       ON THEIR OWN:  Takes ninth place with a pair of wins.
>       BEST CASE:  Rises to fifth with a sweep if RIT, Robert Morris, 
> and Army
>       West Point all lose twice and American International gets no 
> more than
>       two points.
>       WORST CASE:  Would slide to eleventh with two losses if Bentley 
> wins
>       and Sacred Heart sweeps.
>       TIEBREAKERS:  Beats RIT and Bentley; loses to Robert Morris and 
> Army
>       West Point; could win or lose against American International and 
> Sacred
>       Heart; could win or lose* against Air Force
>
> Bentley:
>       THIS WEEKEND:  American International.
>       ON THEIR OWN:  Can do no better than eleventh without help.
>       BEST CASE:  Wraps up ninth place with a win if American 
> International
>       does not beat Holy Cross, Niagara gets no more than one point, and
>       Sacred Heart gets no more than two points.
>       WORST CASE:  Finishes eleventh if they lose and Sacred Heart 
> gets at
>       least one point.
>       TIEBREAKERS:  Loses to Niagara; could win* or lose against Sacred
>       Heart; could win or lose* against American International.
>
> Sacred Heart:
>       THIS WEEKEND:  At Army West Point, at Army West Point.
>       ON THEIR OWN:  Takes ninth place with a sweep.
>       BEST CASE:  Would jump to seventh with two wins if American Inter-
>       national gets no more than one point and Niagara gets no more than
>       two points.
>       WORST CASE:  Ends up in eleventh if they get swept.
>       TIEBREAKERS:  Loses to Robert Morris and American International;
>       could win or lose against Niagara; could win or lose* against Army
>       West Point and Bentley.
>
>
> Bill Fenwick
> [log in to unmask] 

-- 
charlie shub at home  cell: (719) 761-8778
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