Home and Away Advantage - Dartmouth Math Department

Home and Away Advantage
By: Krista Dornfried and
Gillian Apps
Goals:
Our main goal was to figure out whether or
not there is an advantage for Dartmouth
hockey players when they play at home.
To do this, our data shows the number of
wins and non-wins against teams that are
similar in ranking.
The Competition...
 Cornell
 Colgate
 Rensselaer
 Boston College
 Yale
 Harvard
 Clarkson
 St. Lawrence
 Union
Minnesota
Harvard
St. Lawrence
New Hampshire
Minnesota-Duluth
Mercyhurst
Princeton
Pre-Test Beliefs
We believe that Dartmouth hockey teams
are more likely to win when playing at their
home arena.
Dartmouth College
Null Hypothesis
Playing at HOME, or at an AWAY arena
has no effect on the outcome of the game.
The result of the game has nothing to due
with where the game is played.
P= 0.5
Alternate Hypothesis
Dartmouth hockey teams are more likely to
win playing at their home arena
Location has an effect on the results of the
game.
P> 0.5
Results
We found the probability of Dartmouth
winning at home, or winning away.
Here is how we did it:
P =18/30= 60%
P =11/30= 36.67%
home
away
Initially, we entered our home and away
probabilities into the following equation:
In doing this, we found that P = 1.095 and
P =-1.46. Given that we chose to use a
significance level of 0.05, we were unable
to reject our Null Hypothesis.
home
away
 1.095 is not > 1.65
 -1.46 is not < 1.65
What Happened???
We believe that if we had a larger sample
size, we would have been able to reject our
null hypothesis.
Given the vast difference between our
original probabilities we chose to try a
different equation.
Here is the new equation:
****YIPEEEE****
 1.86> 1.65
Therefore, 1.86 falls into the critical region
and we are able to reject our null
hypothesis.
Conclusion
 Please come out and support the Ice
hockey teams!
GO
DARTMOUTH
GO