Re: RPI Hockey 2014-2015 Part II: Dedicated to Rich Curadi
Here's another way to look at this. We are favored to beat Brown (I should hope). If we do, and Cornell or Colgate loses then we are one point out of 8th with 5 games left. Say what you want about that scenario but I'd put money down against 10-1 odds that we can squeak into 8th from there.
While I don't doubt the mathematics here, the question is the model. Using Krach as an estimate assumes a team is as good (or bad) as it's overall record and that we are going to play at that level the rest of the way. Absent any trends or other information that makes sense. In our case, there are a number of factors that might lead you to question the wisdom of declaring this as the most likely set of outcomes. First off, we really stunk it up earlier in the season when playing OOC (especially against Bentley). So is the OOC Krach a good indicator of our team or should you consider ECAC only? Secondly, what are we doing lately. One might argue we are even worse however other than the Union game, it seems like we are still playing hard and staying in games. Third, our team is like a box of chocolates so...I do include a flat 13.45% chance of tie factor (I counted how many ties happened in the last five years or something like that). I'm not rigorously checking every single possibility, because as I and others have noted, that would require >10[sup]17[/sup] simulations. My tiebreaking can't handle anything greater than a three way tie, and if two teams are still tied after the ECAC win tiebreak, I flip a coin and break the ties that way.
EDIT: Outcomes with an "x" rather than a number never occurred in my simulation, but may be possible. I defer to FD08 on tiebreaking and whether something is possible or not.
MORE EDIT: I just don't understand how you're getting us in ninth (alone or as a tie) 69% of the time, which is nearly double what I have. Here is the relevant line from my post in the other thread:Would you mind sharing your code? I can post mine too and we can compare.Code:| KRACH | 1 2 3 4 5 6 7 8 9 10 11 12 |Avg Rk |AvgPts ----------------------------------------------------------------------------------------------------- RP | 53.0 | x 0.0 0.0 0.2 0.5 1.3 3.2 8.5 37.2 48.9 0.1 x | 9.27 | 18.43
Here's another way to look at this. We are favored to beat Brown (I should hope). If we do, and Cornell or Colgate loses then we are one point out of 8th with 5 games left. Say what you want about that scenario but I'd put money down against 10-1 odds that we can squeak into 8th from there.