Never Apologize, Never Explain, 2007

So, here's how we do it.  Follow the links for detailed computations.

Theory...

First we take base values directly computed from last year's team performance:

RS

 Regular season performance in previous season.

PS

 Post-season performance in previous season.

 

Factored into these base values is a function of the following modifiers:

Prv3

Standing in total conference record in the three previous seasons.

1/2

Second-half improvement, previous regular season.

RetF

Returning % of Leading Forwards points.

RetD

Returning % of Leading Defensemen points.

RetG

Returning % of Goaltender wins.

 

Pred is derived by adding all of the base values and modifiers together:

Pred = (RS + PS) + (Prv3 + 1/2 + RetF + RetD + RetG)

FPred, the basis for our final predictor, is derived by regressing Pred 25% back towards the team's aggregate conference standing over the previous ten seasons:

FPred = 3 * Pred + Prv10

Pred

 Sum of all base values and modifiers.

Prv10

 Standing in total conference record in the ten previous seasons.

FPred

 Final predictor and basis for the TBRW? Prediction.

Our final prediction, TBRW, is the rank order of FPred.

TBRW

 Predicted ranking.

The modifiers are computed for the present year, below.


... and Practice

RS

RS = (12 - Standing)

i.e., a reversal (returning the largest number for first place) of the prior season's ECAC regular season standings.  

 

 

Standing RS

Brown

12 0
Clarkson 8 4
Colgate 2 10
Cornell 3 9
Dartmouth 1 11
Harvard 4 8
Princeton 9 3
Quinnipiac 10 2
RPI 7 5
St. Lawrence 5 7
Union 6 6
Yale 11 1

 

PS

The number of post-season upset series wins (+1) and losses (-1) in the previous season's ECAC playoffs.  The consolation game is ignored.

 

 

PS

Brown

0
Clarkson 0
Colgate -1
Cornell 0
Dartmouth -1
Harvard +2
Princeton 0
Quinnipiac +1
RPI -1
St. Lawrence 0
Union -1
Yale +1

 

Prv3

The third (+1 top 33%, 0 middle 33%, -1 bottom 33%) in conference winning percentage (Pct) for the previous three years, i.e., those seasons in which the current returning classes have played.

 

Pct Rank Prv3

Brown

.447 7 0
Clarkson .409 9 -1
Colgate .689 2 +1
Cornell .727 1 +1
Dartmouth .644 3 +1
Harvard .614 4 +1
Princeton .326 11 -1
Quinnipiac .386 10 -1
RPI .470 5 0
St. Lawrence .462 6 0
Union .439 8 0
Yale .311 12 -1

 

1/2

The third (+1 top 33%, 0 middle 33%, -1 bottom 33%) in improvement in points gained in the second half (games 12-22) over the first half (games 1-11) of the previous ECAC regular season.

 

Pts Total Pts 12-22 Pts 1-11 Pts Diff 1/2

Brown

11 5 6 -1 0
Clarkson 20 9 11 -1 0
Colgate 30 13 17 -4 -1
Cornell 29 14 15 -1 0
Dartmouth 30 18 12 +6 +1
Harvard 27 13 14 -1 0
Princeton 17 13 4 +9 +1
Quinnipiac 17 11 6 +5 +1
RPI 22 9 13 -4 -1
St. Lawrence 25 9 16 -7 -1
Union 22 12 10 +2 +1
Yale 14 5 9 -4 -1

 

RetF

The third (+1 top 33%, 0 middle 33%, -1 bottom 33%)  in returning % of Leading Forwards points.  Team-by-team breakdown here.

 

RetF% RetF

Brown

1.00 +1
Clarkson .88 +1
Colgate .59 -1
Cornell .55 -1
Dartmouth .60 0
Harvard .77 0
Princeton .86 +1
Quinnipiac .89 +1
RPI .73 0
St. Lawrence .47 -1
Union .69 0
Yale .52 -1

 

RetD

The third (+1 top 33%, 0 middle 33%, -1 bottom 33%)  in returning % of Leading Defensemen points.  Team-by-team breakdown here.

 

RetD% RetD

Brown

.85 +1
Clarkson .83 0
Colgate .87 +1
Cornell .17 -1
Dartmouth .68 0
Harvard .59 -1
Princeton .38 -1
Quinnipiac 1.00 +1
RPI .16 -1
St. Lawrence .63 0
Union 1.00 +1
Yale .77 0

 

RetG

The half (roughly) (+1 top, -1 bottom)  in returning % of Leading Goaltenders wins.  Team-by-team breakdown here.

 

RetG% RetG

Brown

.05 -1
Clarkson 1.00 +1
Colgate 1.00 +1
Cornell .00 -1
Dartmouth 1.00 +1
Harvard .05 -1
Princeton .30 -1
Quinnipiac .95 +1
RPI 1.00 +1
St. Lawrence .95 +1
Union .00 -1
Yale .90 +1

 


Putting it All Together

Pred

Pred = (RS + PS) + (Prv3 + 1/2 + RetF + RetD + RetG)

 

RS PS Prv3 1/2 RetF RetD RetG Pred

Brown

0 0 0 0 +1 +1 -1 1
Clarkson 4 0 -1 0 +1 0 +1 5
Colgate 10 -1 +1 -1 -1 +1 +1 10
Cornell 9 0 +1 0 -1 -1 -1 7
Dartmouth 11 -1 +1 +1 0 0 +1 13
Harvard 8 +2 +1 0 0 -1 -1 9
Princeton 3 0 -1 +1 +1 -1 -1 2
Quinnipiac 2 +1 -1 +1 +1 +1 +1 6
RPI 5 -1 0 -1 0 -1 +1 3
St. Lawrence 7 0 0 -1 -1 0 +1 6
Union 6 -1 0 +1 0 +1 -1 6
Yale 1 +1 -1 -1 -1 0 +1 0

 

Prv10

Prv10 is a reversal (returning the largest number for first place) of the regular season Standing of the previous ten seasons, 1994-95 through  2003-04.  Prv10 = (12 - Standing).

 

Pct Standing Prv10

Brown

.393 10 2
Clarkson .594 2 10
Colgate .576 3 9
Cornell .658 1 11
Dartmouth .502 7 5
Harvard .557 4 8
Princeton .422 9 3
Quinnipiac .386 12 0
RPI .511 6 6
St. Lawrence .518 5 7
Union .388 11 1
Yale .454 8 4

 

FPred = (3 * Pred + Prv10).

Finally, TBRW is the rank order of FPred, and is the basis for our predicted ranking.

 

Pred 3*Pred Prv10 FPred TBRW

Brown

1 3 2 5 11
Clarkson 5 15 10 25 5(t)
Colgate 10 30 9 39 2
Cornell 7 21 11 32 4
Dartmouth 13 39 5 43 1
Harvard 9 27 8 35 3
Princeton 2 6 3 9 10
Quinnipiac 6 18 0 18 8
RPI 3 9 6 15 9
St. Lawrence 6 18 7 25 5(t)
Union 6 18 1 19 7
Yale 0 0 4 4 12