--- Home Lock - 39 (BU/MC/ME) ---
UNH 28 - 48 [1-8]
BC 28 - 44 [1-8]
--- In - 27 (PC/UVM) ---
BU 23 - 39 [1-9]
MC 21 - 41 [1-10]
ME 20 - 40 [1-10]
NU 19 - 35 [1-10]
UMA 14 - 34 [1-10]
PC 10 - 30 [2-10]
UVM 9 - 29 [2-10]
UML 6 - 22 [4-10]
--- Home Eligible - 23 (BU/MC/ME) ---
--- Out - 10 (PC) ---
Remaining LEAGUE schedules:
UNH - MEx2, MC/@MC, @UVMx2, NU/@NU, @BC/BC
BC - UMA, @PC, NU/@NU, @UMA/UMA, UNH/@UNH
BU - UML, @UMA, PC/@PC, UVMx2, @NU/NU
MC - @NU, UMA, @UNH/UNH, @UMA/UMA, @MEx2, PC/@PC
ME – @UNHx2, UVMx2, @UMLx2, MCx2, @UMAx2
NU - MC, @UML, @BC/BC, @UNH/UNH, BU/@BU
UMA - @BC, @MC, BU, PC, @MC/MC, BC/@BC, MEx2
PC – @UVMx2, BC, @UMA, @BU/BU, UML/@UML, @MC/MC
UVM - PCx2, @MEx2, UNHx2, @BUx2, UMLx2
UML - @BU, NU, MEx2, @PC/PC, @UVMx2
UNH, BC and BU are all out of reach of UML, meaning they could each be no lower than 9th and UML can get no higher than 4th.
While either PC or UVM could pass UNH and BC's already-earned 28 points, since the Friars and Catamounts play each other for two this weekend, they can't both do it. That means there's another team that can't pass the top two, making each no lower than 8th. Therefore, both UNH and BC have clinched spots.
Conversely, while either PC or UVM could catch where UNH and BC are now, since the Wildcats and Eagles play each other for two on the final weekend, at least one of them has to move up to 30+ points. That's above UVM's max meaning UVM can get no higher than 2nd. 30 points also ties PC's max, but with PC being a combined 0-5-0, losing both tbs against the top two, that leaves PC also unable to reach 1st.
Everything else is still up for grabs.
Explanatory notes:
For those that haven't read one of these threads before, I'm basically following a couple of key benchmarks and comparing each team's min and max points to see where they might fall. As results come in, the benchmarks themselves change and the teams above or below them change.
The keys are:
"In" - what point threshold needs to be reached to guarantee a playoff spot (can't fall to 9th or 10th).
"Home Eligible" - can still reach home ice (4th seed),
"Home Lock" - can't fall below 4th,
"Home Ice" - once the top four spots are settled,
and "Out" - can no longer reach 8th.
If you're below a line, your minimum (points already earned) has not yet reached that benchmark, or in the case of "Out", cannot. If you are above a line, your maximum keeps you in play. At this point, two teams are already In but no one has yet locked up Home Ice. Conversely, no one is yet Out and everyone is still Home Eligible.
As teams earn points (win or tie), their minimum will increase, since those points are already in the bank. At the same time, as the teams fail to get points (tie or lose), their maximum falls since those are points that team can no longer get. As the mins and maxes change, any associated benchmarks move with them.
As results come in, In and Out will draw closer together and, at some point, merge once the top eight (or bottom two) are set in stone. The same is true of Home Eligible and Home Lock, which will merge into Home Ice once the top four are set.
Here's an example of how this works:
Once you earn more points than at least two other teams can reach - even if you lost every game and they won every game - then at least two teams are surely behind you, you can fall no lower than 8th, and you have clinched a playoff spot. You're "In"!
The simplest way to determine where to set the initial "In" benchmark is to find the two lowest maximums, which are usually, but not always, the maxes for teams currently at 10 and 9. That's UML (22) and UVM (29).
However, as noted above, the current 8 team (PC) is only one point ahead (with a max of 30) and plays 9 (UVM) for two games still on the schedule. For UVM to reach their max, that would be four points that PC couldn't get, so PC's best effort would yield only 26 points. If they split, each would lose the opportunity for two points, making their maxes 28 (PC) and 27 (UVM). If UVM got another point from the games to raise their max to 28, then PC would lose one to drop their max to 27, so no matter how their series works out one of them will have a max of 27 or lower. That means that if you can beat 27 points, you are assured of being ahead of one of these teams and also UML (max 22). You'd be "In" and that's why that benchmark stands at 27 ( by comparison, the last several years used 32-34 at this point).
Hence, UNH and BC, with 28 points already earned are above this mark and have clinched spots.
"Home Lock" would mean that no more than three teams could pass you. The default for this benchmark would be to find the fourth highest max. If you can exceed that (or meet it with the tie-breakers in your favor), then you'll have clinched home ice.
In this case, Maine has the 4th highest max, so it would seem that 40 would be the mark to beat. However, just like several other examples in this post, MC and ME still have two to play, and their adjacent maxes can't both be reached. At least one of them has to fall below BU's current max at 39, so effectively that puts the winner of MC/ME at the 3rd highest max, BU at 4th max and the MC/ME series loser at 5th max. BU's 39 becomes the "Home Lock" benchmark.
As Merrimack or Maine get points, or UML doesn't get points (ties or loses), UML's max could fall behind the points that either MC or ME have already banked, meaning that UML could get no higher than 5th (or even 6th) and would no longer be eligible for Home Ice, which would drop them below the Home Eligible line.
With this many games to go, I haven't factored in the remaining schedule to the benchmarks and maximum points too deeply yet. When the permutations are fewer and those fine points become more relevant, I'm sure they'll get added in either by myself or fellow posters.
UNH 28 - 48 [1-8]
BC 28 - 44 [1-8]
--- In - 27 (PC/UVM) ---
BU 23 - 39 [1-9]
MC 21 - 41 [1-10]
ME 20 - 40 [1-10]
NU 19 - 35 [1-10]
UMA 14 - 34 [1-10]
PC 10 - 30 [2-10]
UVM 9 - 29 [2-10]
UML 6 - 22 [4-10]
--- Home Eligible - 23 (BU/MC/ME) ---
--- Out - 10 (PC) ---
Remaining LEAGUE schedules:
UNH - MEx2, MC/@MC, @UVMx2, NU/@NU, @BC/BC
BC - UMA, @PC, NU/@NU, @UMA/UMA, UNH/@UNH
BU - UML, @UMA, PC/@PC, UVMx2, @NU/NU
MC - @NU, UMA, @UNH/UNH, @UMA/UMA, @MEx2, PC/@PC
ME – @UNHx2, UVMx2, @UMLx2, MCx2, @UMAx2
NU - MC, @UML, @BC/BC, @UNH/UNH, BU/@BU
UMA - @BC, @MC, BU, PC, @MC/MC, BC/@BC, MEx2
PC – @UVMx2, BC, @UMA, @BU/BU, UML/@UML, @MC/MC
UVM - PCx2, @MEx2, UNHx2, @BUx2, UMLx2
UML - @BU, NU, MEx2, @PC/PC, @UVMx2
Todd said:Around this time of year for the past few years, I've started a thread that lays out the math behind the playoffs in Hockey East. The impetus for starting the thread each year was when someone clinched... something. These are all manual calculations, so, as always, if anyone notices an error or oversight, feel free to let me know.
Well it’s about that time, so... where are we? Has anyone clinched anything?
UNH, BC and BU are all out of reach of UML, meaning they could each be no lower than 9th and UML can get no higher than 4th.
While either PC or UVM could pass UNH and BC's already-earned 28 points, since the Friars and Catamounts play each other for two this weekend, they can't both do it. That means there's another team that can't pass the top two, making each no lower than 8th. Therefore, both UNH and BC have clinched spots.
Conversely, while either PC or UVM could catch where UNH and BC are now, since the Wildcats and Eagles play each other for two on the final weekend, at least one of them has to move up to 30+ points. That's above UVM's max meaning UVM can get no higher than 2nd. 30 points also ties PC's max, but with PC being a combined 0-5-0, losing both tbs against the top two, that leaves PC also unable to reach 1st.
Everything else is still up for grabs.
Explanatory notes:
For those that haven't read one of these threads before, I'm basically following a couple of key benchmarks and comparing each team's min and max points to see where they might fall. As results come in, the benchmarks themselves change and the teams above or below them change.
The keys are:
"In" - what point threshold needs to be reached to guarantee a playoff spot (can't fall to 9th or 10th).
"Home Eligible" - can still reach home ice (4th seed),
"Home Lock" - can't fall below 4th,
"Home Ice" - once the top four spots are settled,
and "Out" - can no longer reach 8th.
If you're below a line, your minimum (points already earned) has not yet reached that benchmark, or in the case of "Out", cannot. If you are above a line, your maximum keeps you in play. At this point, two teams are already In but no one has yet locked up Home Ice. Conversely, no one is yet Out and everyone is still Home Eligible.
As teams earn points (win or tie), their minimum will increase, since those points are already in the bank. At the same time, as the teams fail to get points (tie or lose), their maximum falls since those are points that team can no longer get. As the mins and maxes change, any associated benchmarks move with them.
As results come in, In and Out will draw closer together and, at some point, merge once the top eight (or bottom two) are set in stone. The same is true of Home Eligible and Home Lock, which will merge into Home Ice once the top four are set.
Here's an example of how this works:
Once you earn more points than at least two other teams can reach - even if you lost every game and they won every game - then at least two teams are surely behind you, you can fall no lower than 8th, and you have clinched a playoff spot. You're "In"!
The simplest way to determine where to set the initial "In" benchmark is to find the two lowest maximums, which are usually, but not always, the maxes for teams currently at 10 and 9. That's UML (22) and UVM (29).
However, as noted above, the current 8 team (PC) is only one point ahead (with a max of 30) and plays 9 (UVM) for two games still on the schedule. For UVM to reach their max, that would be four points that PC couldn't get, so PC's best effort would yield only 26 points. If they split, each would lose the opportunity for two points, making their maxes 28 (PC) and 27 (UVM). If UVM got another point from the games to raise their max to 28, then PC would lose one to drop their max to 27, so no matter how their series works out one of them will have a max of 27 or lower. That means that if you can beat 27 points, you are assured of being ahead of one of these teams and also UML (max 22). You'd be "In" and that's why that benchmark stands at 27 ( by comparison, the last several years used 32-34 at this point).
Hence, UNH and BC, with 28 points already earned are above this mark and have clinched spots.
"Home Lock" would mean that no more than three teams could pass you. The default for this benchmark would be to find the fourth highest max. If you can exceed that (or meet it with the tie-breakers in your favor), then you'll have clinched home ice.
In this case, Maine has the 4th highest max, so it would seem that 40 would be the mark to beat. However, just like several other examples in this post, MC and ME still have two to play, and their adjacent maxes can't both be reached. At least one of them has to fall below BU's current max at 39, so effectively that puts the winner of MC/ME at the 3rd highest max, BU at 4th max and the MC/ME series loser at 5th max. BU's 39 becomes the "Home Lock" benchmark.
As Merrimack or Maine get points, or UML doesn't get points (ties or loses), UML's max could fall behind the points that either MC or ME have already banked, meaning that UML could get no higher than 5th (or even 6th) and would no longer be eligible for Home Ice, which would drop them below the Home Eligible line.
With this many games to go, I haven't factored in the remaining schedule to the benchmarks and maximum points too deeply yet. When the permutations are fewer and those fine points become more relevant, I'm sure they'll get added in either by myself or fellow posters.