Tag Archives: Quinnipiac

The 1 seeds – UND and three of QU, SCSU, PC, BC, DU

The 1 seeds

These teams have a shot at 1-seed:
North Dakota (lock)
Quinnipiac
St Cloud St
Providence
Boston College
Denver

Extracted from PWR Possibilities:

Team Result 1 2 3 4 5 6 7 8
UND Win 0 34% 41% 21% 4%
Win 1 63% 30% 7% < 1%
Win 2 100%
Quinnipiac Win 0 < 1% 35% 39% 25% < 1% < 1%
Win 1 4% 46% 38% 12% < 1%
Win 2 57% 42% 1%
SCSU Win 0 < 1% 29% 40% 24% 7%
Win 1 8% 18% 48% 25% 1%
Win 2 62% 27% 11%
Providence Win 0 1% 58% 32% 9%
Win 1 7% 44% 41% 7%
Win 2 14% 51% 30% 5%
Boston College Win 0 82% 18%
Win 1 < 1% 4% 81% 15%
Win 2 < 1% 29% 41% 29% < 1%
Denver Win 0 98% 2% < 1%
Win 1 1% 3% 93% 2%
Win 2 31% 36% 8% 24% < 1%

UND will finish in the top 4 and get a 1-seed.

Quinnipiac, St Cloud St, and Providence are each guaranteed a top 4 finish, and a 1-seed, if they win their conference tournament.

Quinnipiac is nearly (but not quite!) a lock for a 1-seed regardless of outcome, and St Cloud St is nearly (but not quite!) a lock for a 1-seed if they win 1.

Boston College and Denver each need at least one win, preferably two.

BC to #1 overall

An example:
http://pwp.uscho.com/rankings/pairwise-predictor/?uniq=pwp_56e6c9fa056fc

Obviously Boston College needs to win and North Dakota, Quinnipiac, St Cloud St, and Providence need to lose enough to be passed by BC. Finally, it takes an unusual combination of other outcomes to give BC a small RPI advantage over those teams (note, for example, that the linked scenario actually has Providence win one then lose one to give BC just enough of an RPI edge; note also that the top 4 in that example end up within .0003 in RPI).

This is pretty unlikely, occurring only in about 1 of 940 scenarios in which Boston College wins its conference championship.

Quinnipiac missing a 1 seed

An example:
http://pwp.uscho.com/rankings/pairwise-predictor/?uniq=pwp_56e8cbd15d592

Even with a win, it’s possible for Quinnipiac to fall to 5th and miss out on a 1 seed. Success by other teams eligible for #1 is a key, in this case Boston College, Denver, and St Cloud St. Note how unusual this scenario is, with a 3-way tie in pairwise comparisons and the RPI tie-breaker settled by just .001 between the three teams.

This is pretty unlikely, occurring in only about 1 of 1900 scenarios in which Quinnipiac wins one, or 1 in 210 scenarios in which Quinnipiac loses its first game.

A few top teams are starting to look like locks for NCAA tournament

For the first time this season, the top PWR teams are starting to look like locks for the NCAA hockey tournament. Aside from current PWR ranking, the biggest determinant in how possible it is for a top team to fall out of contention is how many games it has remaining (because when looking for the worst case, each is a potential loss). Some teams are down to 4 regular season games remaining while others have as many as 8 (plus up to 2 conference tournament losses, in the worst case, for most teams).

While it’s tough to imagine #1 Quinnipiac or #2 St Cloud St losing out, including a pair in the conference tournament, even that probably wouldn’t be enough to bump them (dependent on how many conferences’ tournament champions come from outside the top of the PWR).

quinnipiac scsu

While #3 North Dakota is mathematically vulnerable, getting swept 4 more weekends (including into the conference tournament) seems unlikely.

und

With only 4 games remaining, #4 Boston College and #5 Providence are near locks (again, dependent on how many conferences’ tournament champions come from outside the top of the PWR).

bc providence

#6 Michigan is the highest ranked team with a significant chance of falling to the bubble, largely by virtue of having more games remaining than any other similarly ranked team.

michigan

Despite a brutal schedule of series against #5 Providence and #11 Boston University, #7 Notre Dame won’t fall much with only 4 regular season games remaining. But, 11-12 going into the conference tournament would leave the Irish vulnerable to being excluded with a poor performance.

notredame

With 6 regular season games remaining for each, it’s too early to call #8 Denver and #9 Nebraska-Omaha safe. It would take a slump for either to miss the NCAA tournament, but they do play each other head-to-head and the Mavericks have a particularly brutal schedule (#8 Denver, #3 North Dakota, and #2 St Cloud).

denver uno

Who’s in position for the NCAAs with four weeks left in the regular season?

With most conferences having just four weeks of games remaining before their tournaments begin (the Big Ten has five), the field is tightening up a bit compared to my first look at the cutlines.

Still, no one is mathematically a lock — leaving the regular season in the 10-14 range, as is possible for even the top teams, is not safe because each can accumulate two additional losses and no wins in the conference tournament (only in the Big Ten conference tournament is the worst case scenario exiting immediately with a single loss and no wins).

#1 Quinnipiac
#2 St Cloud St
#3 North Dakota
#4 Boston College
#5 Providence
#6 Michigan
#7 Notre Dame
#8 Boston University
#9 Nebraska-Omaha
#10 Yale
#11 Harvard
#12 Denver

Through #12 Denver should be safe for an at-large bid unless they slump and sink below .500 in their remaining games. Teams near the top have more margin for mistakes than near the bottom.

qu

denver

From #13 Mass.-Lowell through #26 Minnesota-Duluth can position themselves for an at-large bid, with those near the bottom requiring near perfect records.

#13 Mass.-Lowell
#14 Cornell
#15 Penn St
#16 Dartmouth
#17 Clarkson
#18 Michigan Tech
#19 Robert Morris
#20 Rensselaer
#21 Minnesota St
#22 Minnesota
#23 Bowling Green
#24 Miami
#25 St. Lawrence
#26 Minnesota-Duluth

masslowell

umd

#27 Northeastern and below would need near perfection and some luck to sneak into position for an at-large bid. Even then, success in the conference tournament would be required to not fall out of position. These teams should plan to do well in their conference tournaments.

#27 Northeastern
#28 Ferris St
#29 Union
#30 Northern Michigan
#31 Air Force
#32 Holy Cross
#33 Bemidji St
#34 New Hampshire
#35 Vermont
#36 Western Michigan
#37 Ohio St
#38 Wisconsin
#39 Mercyhurst
#40 RIT
#41 Merrimack
#42 Bentley
#43 Connecticut
#44 Colgate
#45 Massachusetts
#46 Alaska Anchorage
#47 Michigan St
#48 Maine
#49 Colorado College
#50 Army
#51 Lake Superior
#52 Princeton
#53 Brown
#54 Sacred Heart
#55 Canisius
#56 Alaska
#57 Alabama-Huntsville
#58 Niagara
#59 Arizona St
#60 American International

northeastern

These lines are approximate because it’s entirely possible for a currently lower ranked team to have a better chance of a higher finish than a higher ranked team. Individual teams’ records, remaining games, and opponents can result in different potentials. For example, most of the teams in the 30s have literally no chance of rising onto the bubble, see #35 Vermont, but then you occasionally stumble across a chart like #36 Western Michigan.

vermont

westernmichigan

Methodology

Forecasts include the results of games played through Tuesday of this week.

Each forecast is based on at least one million monte carlo simulations of the games in the described period. For each simulation, the PairWise Ranking (PWR) is calculated and the results tallied. The probabilities presented in the forecasts are the share of simulations in which a particular outcome occurred.

The outcome of each game in each simulation is determined by random draw, with the probability of victory for each team set by their relative KRACH ratings. So, if the simulation set included a contest between team A with KRACH 300 and team B with KRACH 100, team A will win the game in very close to 75% of the simulations. I don’t simulate ties or home ice advantage.

Resources

North Dakota eyeing taking #1 from Quinnipiac, but don’t count out St. Cloud

#1 Quinnipiac has held the top PWR ranking for as long as it has been calculable this season, and the top three have been unchanged for about a month. However, the Bobcats haven’t been perfect and last week’s forecast revealed the first possibility of a new leader. QU held onto its top ranking with a win and a tie, but the odds of someone overtaking them continued to increase.

history

Though Quinnipiac hasn’t lost since December 12, a string of ties (4 out of 7 games in 2016, including 3 of the last 5) has chipped away at their once formidable PWR lead.

On a 5-0-1 streak until last weekend, #2 St. Cloud St. has been nipping at the Bobcats’ heels the last couple weeks. However, St. Cloud’s position also weakened a bit with a split last weekend.

#3 North Dakota, in contrast, has continued to strengthen its position with a 12-1-1 run since Thanksgiving. With St. Cloud St. idle this weekend, UND is the most likely beneficiary of any additional stumbling by Quinnipiac. Not only do the Fighting Hawks stand their first measurable chance of taking #1 this weekend, but it’s a pretty realistic chance.

Even if Quinnipiac wins both its games this weekend, North Dakota can give itself about a 28% chance of taking #1 by also sweeping. A complicated mix of other game outcomes would determine the RPI leader between QU and UND, who would then also win the PWR comparison, and take #1.

If Quinnipiac loses one of its two games this weekend and North Dakota sweeps, the Fighting Hawks are almost certain (over 99% of scenarios) to take #1. A single win doesn’t seem likely to do it for UND, as that would make it difficult to overtake idle St. Cloud St.

If the Bobcats keep up their undefeated streak, but earn another draw, that will also open the door for North Dakota. Those scenarios give UND about a 95% chance of taking #1 with a sweep.

Finally, though they don’t control their own fate, St. Cloud St. still stands a chance of taking #1. If UND loses one, the Huskies would have about a 33% chance of taking #1 with one Quinnipiac loss, or about a 94% chance with two losses by QU (again, those would come down to complicated RPI movements based on other games).

qu scsu und

Weekend outlook – a new #1?, St. Lawrence, and the bubble watch

Could there be a new #1?

Coming off 3 ties in the last 6 games, Quinnipiac is just damaged enough that falling from #1 has become a realistic possibility. Losses to both Cornell and Colgate this weekend would make a fall to #3-#4 quite likely.

qu

What’s up with St. Lawrence?

After a 1-6 run dropped #27 St. Lawrence from #9 to #26, a pair of wins last weekend failed to advance them in the PWR (on the bottom end of my prediction for that scenario).

StLawrenceHistory

However, you should think of those wins as creating additional ranking potential in the Saints, such that if they can keep winning we could see that potential unleashed in a big jump. Coming out of the weekend between #18 and #22 is reasonably likely if they can notch victories over Rensselaer and Union.

stlawrence

Weekend bubble watch

Looking at #9 Nebraska-Omaha through #18 Minnesota State, only UNO and Dartmouth have really overachieved and underachieved to get there (and Dartmouth wouldn’t be at all surprising if you instead started looking on Jan 4, after a pair of wins vaulted them from #32 to #21).

bubblewatch

#9 Nebraska-Omaha should have a pretty quiet week off, though might slip a little (particularly if Notre Dame experiences success over Vermont and/or BU defeats Mass.).

uno

#10 Notre Dame and #11 Mass.-Lowell face typical outlooks for their positions — the possibility of a small rise with a pair of wins, or a bit steeper fall with a pair of losses.

notredame

masslowell

#12 Denver shouldn’t move much while idle, though might climb a little if Mass.-Lowell and/or Notre Dame falter.

denver

After tumbling a bit from a split last weekend, #13 Yale is unusual in this pack for facing a little more upside than downside potential.

yale

#14 Rensselaer is standing on the edge of a cliff — a couple wins should strengthen its position without much of a corresponding rise in PWR, while a couple of losses could send them plummeting toward 20. Looking at their PWR details, the elevated risk seems to come from a large number of ties in COP that will turn comparisons against them with losses to St. Lawrence and Clarkson.

renssalaer

#15 Dartmouth, #16 Cornell, #17 Penn St, #18 Minnesota St all face noticeably more downside risk from losing than upside potential from winning this week.

dartmouth

cornell

pennstate

mankato

Methodology

Forecasts include the results of games played through Tuesday of this week.

Each forecast is based on at least one million monte carlo simulations of the games in the described period. For each simulation, the PairWise Ranking (PWR) is calculated and the results tallied. The probabilities presented in the forecasts are the share of simulations in which a particular outcome occurred.

The outcome of each game in each simulation is determined by random draw, with the probability of victory for each team set by their relative KRACH ratings. So, if the simulation set included a contest between team A with KRACH 300 and team B with KRACH 100, team A will win the game in very close to 75% of the simulations. I don’t simulate ties or home ice advantage.

Resources

A first look at the 2016 at-large bid cutlines

If you’re new here, you might want to start with Welcome to collegehockeyranked.com. While anything related to college hockey rankings is fair game for this site, in most articles I try to provide insight as to where teams are likely to end up in the PairWise Rankings (PWR) that mimic the NCAA’s men’s ice hockey tournament selection process (and, thus, which teams are likely to be selected for the tournament).

In last year’s When to start looking at PWR, I noted that the early January PWR does give us some useful information as to what each team needs to do to make the tournament at-large. Top teams can still fall out of contention (though it takes a notable collapse for the top few), and it’s pretty unusual for a team ranked much lower than 25 at this time of year to climb to an at-large bid.

To test those larger trends against this year’s schedule and results, I ran simulations for the remaining scheduled regular season games to see where each team is likely to end up. The full methodology is described at the bottom of this article.

Before we jump into the data, I do want to remind you that starting simulations now (with over 450 scheduled games remaining) makes it pretty likely that some of the 1% events will happen. So, just telling you the average outcome for each team wouldn’t be particularly useful, because it would include an assumption about the team’s future performance that will prove wrong for some teams. Instead, I tell you where a team is likely to end up conditional on how many games they win (or, how many games a team needs to win to achieve an outcome such as making the NCAA tournament at-large).

Which teams are likely to get an at-large bid?

Around this time last year, I asked, “Is anyone safe?”, and answered,

Not completely. Even #1 Harvard could slip to the bubble if it wins only 6-7 of its remaining 14 scheduled games. That’s not particularly likely

Harvard went 5-10-1 in its next 16 games to fall to #22 in the PWR at the end of the regular season. The Crimson were still very much on the bubble until they secured a bid by winning the ECAC tournament. Though the assumption that Harvard would keep performing as it had to date (and thus win far more than 6-7 more games) proved wrong, the simulated prediction proved correct that Harvard would be on the bubble if that happened.

#1 Quinnipiac’s KRACH is so strong relative to its scheduled competitors that none of my simulations (which weight likely outcomes by KRACH) had them winning fewer than 6 games! However, knowing that past results aren’t a perfect predictor of future results, we can look at the positioning of the “win 6” and guess that they could get into trouble if they win just 2-4 of their remaining scheduled games.

quinnipiac

If you’re feeling deja vu, let me add that #2 Harvard could find itself in trouble with only 6 wins in its remaining 16 scheduled games.

harvard

Down to about #11 Penn State, teams just need avoid a slump that approaches (or goes beneath) .500 to stay positioned for the at-large field.

1 Quinnipiac
2 Harvard
3 Nebraska-Omaha
4 St Cloud St
5 North Dakota
6 Providence
7 Cornell
8 Michigan
9 Yale
10 St. Lawrence
11 Penn State

pennstate

From about #12 Boston University to about #19 Minnesota, teams need to win 60-80% of their remaining games.

12 Boston University
13 Notre Dame
14 Mass.-Lowell
15 Rensselaer
16 Boston College
17 Minnesota State
18 Union
19 Minnesota

bostonuniversity

minnesota

The lowest rank at this time of year from which a team usually climbs to an at-large bid is in the mid-20s. It takes a hot streak, but someone usually does it.

20 Dartmouth
21 Denver
22 Bowling Green
23 Holy Cross
24 Robert Morris
25 Minnesota Duluth
26 Western Michigan

dartmouth westernmichigan

Is anyone out of contention?

#27 Michigan Tech to #45 Mercyhurst aren’t mathematically eliminated, but need something approaching a perfect remaining season to get an at-large bid. It’s a bit easier for teams near the top of the list (2-3 losses for most) than those at the bottom (almost no losses and a bit of a luck).

27 Michigan Tech
28 Miami
29 New Hampshire
30 Alaska Anchorage
31 Merrimack
32 Clarkson
33 Massachusetts
34 Wisconsin
35 Ferris State
36 Northern Michigan
37 Brown
38 Vermont
39 Princeton
40 Bentley
41 Bemidji State
42 Air Force
43 Ohio State
44 Connecticut
45 Mercyhurst

mtech

mercyhurst

For #46 Lake Superior State and below it looks like the only path to the NCAA tournament is through the conference tournaments. Those include:

46 Lake Superior State
47 Colgate
48 RIT
49 Northeastern
50 Sacred Heart
51 Alaska
52 Maine
53 Michigan State
54 Army
55 Arizona
56 Canisius
57 Colorado College
58 Alabama-Huntsville
59 Niagara
60 American International

LakeState

Methodology

Forecasts include the results of games played through Sunday of this week, unless otherwise noted.

Each forecast is based on at least one million monte carlo simulations of the games in the described period. For each simulation, the PairWise Ranking (PWR) is calculated and the results tallied. The probabilities presented in the forecasts are the share of simulations in which a particular outcome occurred.

The outcome of each game in each simulation is determined by random draw, with the probability of victory for each team set by their relative KRACH ratings. So, if the simulation set included a contest between team A with KRACH 300 and team B with KRACH 100, team A will win the game in very close to 75% of the simulations. I don’t simulate ties or home ice advantage.

Resources

Tonight’s headlines – PWR effects of Hockey East games

The bulk of games are tonight, so there will plenty of PWR tables, simulations, blogs, and tweets about PWR implications of the outcomes. I’ll try to give you a preview of some of those in advance.

These claims are a little less certain than my usual articles because they involve a fair amount of human tweaking, tallying, and writing. So, I may have introduced some error, so I’ll use the words “appear to be” a lot.

Like the ECAC, Hockey East has quite a few teams near the bubble. However, the outcomes of their games tonight have far less impact on other teams’ scenarios than do the ECAC teams’.

  • Quinnipiac appears to be able to secure an at-large bid with just one additional win if Boston University and Mass.-Lowell win tonight.
  • Harvard appears to move into the position of needing at least one win to still have a chance at an at-large bid if New Hampshire and Vermont win tonight.

Plus the effects on the playing Hockey East teams themselves, previously discussed:

  • New Hampshire appears to need to win the conference tournament to advance
  • Mass.-Lowell appears to need at least one win to advance, so losing tonight would eliminate them
  • Vermont appears to need at least one win to advance, so losing tonight would eliminate them

 

A look at the bubble teams

If you haven’t read them yet, you might want to start with my articles from earlier this week, Who’s a lock for the NCAA tournament? and Who might fall out of contention for the NCAA tournament? Having visited those two extremes, this article goes into a little more depth on the teams in between.

Background on how PWR matters for tournament selection

Because we get lots of new readers during the tournament season, here’s some background information that my posts generally assume you know:

  • The PWR rankings are not a poll or computer model, but are instead an implementation of the same process the NCAA uses to select its tournament participants. They have correctly predicted the NCAA tournament participants for a decade or two.
  • Each conference gets to send one tournament winner to the NCAA tournament. So, we don’t need to look at the PWR of a team that wins its conference tournament.
  • The remaining 10 slots are given to top teams as ranked by the process implemented in PWR. So, PWR ranks 1-10 are in for sure; but, for 11-16 to make it requires some of the autobids to have gone to teams ranked above them (e.g. if an autobid goes to the team ranked #3, then an extra slot is open for the team ranked #11, and so on).

Because of that structure, we think of teams that are going to finish in the 12-15 range as “on the bubble”. Teams’ prospects are dependent not only on their final ranking, but also on how many lower ranked teams wins conference tournaments. Bubble teams’ chances for an at-large bid increase as slots are freed up by more conference tournaments being won by teams that would have made the NCAA tournament at-large.

A look at the bubble teams

#9 Providence would be on the bubble if eliminated from their conference tournament this weekend. They’d then need a bit of luck to make the NCAA tournament, needing to either climb a bit while idle and/or have a lot of conference tournaments won by top ranked teams.

If Providence wins this weekend, they’ll be in pretty good shape. A semifinal loss would probably push them back down to the high end of the bubble, while a win would nearly lock up a bid.

providence

#10 Boston College is in a very similar position to Providence. They’d be on the bubble if eliminated this weekend and would be watching the other conference tournaments carefully.

If they advance this weekend, they’ll be in pretty good shape — favored, though probably not mathematically secure, for an NCAA bid.

bostoncollege

#11 Bowling Green would likely be pushed down below the bubble if eliminated this weekend. It would take a lot of luck to climb back onto the bubble while idle and have most of the conference tournaments won by top ranked teams.

If Bowling Green advances, they would still probably need a semifinal win to stay on the bubble.

bowlinggreen

#12 Quinnipiac has a chance of staying on the bubble if eliminated this week, but would have to watch future tournament results carefully.

If they advance, another win would probably be needed to stay atop the bubble.

quinnipiac

#13 Yale is likely to be pushed just below the bubble if eliminated this weekend, but would stand a slim chance of climbing onto it dependent on other tournament results.

Advancing this weekend would position them well, but not secure a spot in the NCAAs. With an additional win, Yale would be favored to secure a spot.

yale

#14 Minnesota hasn’t entered conference tournament play yet, so does not face elimination. Getting swept this weekend would put them in a bad spot for an at-large bid, but would also probably force them to play in the Big Ten quarterfinals. The extra game would give them the chance to go 2-1 in the conference tournament and possibly get back onto the bubble.

minnesota

#15 Mass.-Lowell is likely to end well below the bubble if eliminated this weekend. It would take a very unlikely confluence of events for them to move into an at-large bid from that position.

Advancing puts them in a precarious spot on the bubble, such that a subsequent loss would probably push them off.

masslowell

#16 St Cloud St is currently at 11-12-1 so needs one more win than loss in its remaining games to meet the .500 requirement for consideration for the NCAA tournament. So, the Huskies won’t be considered if eliminated this weekend. If they advance (either 2-1 or 2-0), they’ll be in a decent bubble position, but probably need at least one more win.

stscloudst

#17 Harvard will be below the bubble if eliminated this weekend and it’s very unlikely they could slide into position for an at-large bid while idle.

Advancing would put them right on the bubble, such that they’d probably want another win to stay there.

harvard

#18 Colgate is out if eliminated this weekend. Advancing puts them on the low end of the bubble, such that a subsequent loss would probably push them off. Best to advance and win one more.

colgate

#19 Vermont is very likely out if eliminated this weekend. Advancing would put them right on the low end of the bubble, such that another win would probably be required to make the tournament at-large.

vermont

#20 Michigan is not yet in its conference tournament so is not facing elimination this weekend. Two losses would likely put an at-large bid out of reach, while two wins would bring the bubble within sight. A first round bye, though, would reduce their opportunities to climb in the PWR.

michigan

#21 Bemidji State is out if eliminated this weekend. It’s possible, though not particularly likely, that Bemidji State could position itself for an at-large bid by advancing to the conference tournament final and losing.

bemidjist

#22 St. Lawrence is almost identical to Bemidji State. They’re out if they lose this weekend. It’s possible, though not particularly likely, that St. Lawrence could position itself for an at-large bid by advancing to the conference tournament final and losing.

stlawrence

#23 Dartmouth is out if they fail to advance. Dartmouth is better positioned than the teams above it to get an at-large bid by winning a few games then losing the conference final. Winning the conference tournament would be a safer bet.

dartmouth

Methodology

Forecasts include the results of games played through Sunday of this week, unless otherwise noted.

Each forecast is based on at least one million monte carlo simulations of the games in the described period. For each simulation, the PairWise Ranking (PWR) is calculated and the results tallied. The probabilities presented in the forecasts are the share of simulations in which a particular outcome occurred.

The outcome of each game in each simulation is determined by random draw, with the probability of victory for each team set by their relative KRACH ratings. So, if the simulation set included a contest between team A with KRACH 300 and team B with KRACH 100, team A will win the game in very close to 75% of the simulations. I don’t simulate ties or home ice advantage.

Resources

Big PWR game of the week

The big PWR game of the week is #14 Yale vs. #10 Quinnipiac. They only play one game vs. each other, but then another each vs. #56 Princeton and #48 Brown, respectively.

A single win this weekend for either most likely results in a small decline in ranking. The interesting outcome is if the loser of the head-to-head also loses their other game, which could result in falling of at-large bid position in the PWR.

yale

quinnipiac

The runner-up big PWR game is #23 Western Michigan vs. #2 North Dakota. North Dakota isn’t moving much, even if they get swept; it doesn’t seem possible to overtake idle #1 Minnesota State this weekend. However, Western Michigan could jump just below the bubble with a sweep.

westernmichigan

northdakota

Methodology

Forecasts include the results of games played through Sunday of this week, unless otherwise noted.

Each forecast is based on at least one million monte carlo simulations of the games in the described period. For each simulation, the PairWise Ranking (PWR) is calculated and the results tallied. The probabilities presented in the forecasts are the share of simulations in which a particular outcome occurred.

The outcome of each game in each simulation is determined by random draw, with the probability of victory for each team set by their relative KRACH ratings. So, if the simulation set included a contest between team A with KRACH 300 and team B with KRACH 100, team A will win the game in very close to 75% of the simulations. I don’t simulate ties or home ice advantage.

Resources