Re: John t whelan ranking simulator
Something seems to be amiss with someone's calculation, whether it be mine, USCHO's, or someone else, and I think I know where it is. I'm going to take the Northeastern example given earlier.
Northeastern has won four games: ALH, ALH, HLC, HLC. Three were home, one (HLC) was away, meaning out of a possible 3.6 points, they have gained 3.6. Divide into it for 1.00, and multiply by the factor of 25 for 25.00.
Let's now take a look at the teams they have played:
Alabama Huntsville (ALH) has not yet had any other opponents, therefore the Opponent's Winning Percentage (OWP) part from that team is 0 out of a possible 0, meaning it is indeterminate because of the existence of 0/0. Remember that the OWP parts do NOT count the two particular teams in question, i.e. any games between ALH and NE are thrown out.
Holy Cross (HLC) has had one opponent in Boston University, and BU won. Therefore, it is 0 out of a possible 1, or 0.00. Remember, weights do not apply to OWP or OOWP.
I add all of this up for indeterminate + indeterminate + 0.00, divide by the number of games which is 3, and multiply by the factor of 21.
To take a team's Opponents of Opponents Winning Percentage (OOWP), for each of the team's games, you must at each part take your opponent's OWP.
For ALH, it's two parts Northeastern. With Northeastern, they have played Holy Cross twice and won, making 2 out of a possible 2. Therefore, ALH's OWP is 1.000.
For HLC, it's one part BU, two parts Northeastern. With BU, they have had three other games at home, and have won two (beat UMA and WIS, lost to RPI) for 0.667. As we saw earlier with Northeastern, take the games with Alabama Huntsville, 2 out of 2. I add this all up for 0.667 + 1 + 1, divide by the number of games which is 3, for 0.889.
Now, let's put the OOWP together: ALH 1.000 + ALH 1.000 + HLC 0.889 + HLC 0.889 = 3.778, divide by four games for a total of 0.9445, multiply by a factor of 54 for 51.00.
Therefore, BEFORE the quality wins bonus, the RatingsPI of Northeastern I have at 76.00. I don't see why they would remove any of the games from Northeastern's consideration. MAYBE remove Holy Cross games because of the dip in OOWP. I'll check the formula I use and adjust it accordingly. If USCHO did that, then USCHO probably had the divide by zero issue I spoke of earlier, and so they removed the ALH games as well. We'll have a better calculation come November 1st.