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Investigation


Part 1

This part was designed to find the probability of a team winning the Stanley Cup in their 

respective place in conference.

    

                         

Method

Previous NHL statistics were plotted on a graph using MATLAB. On the x-axis (the

horizontal line) the numbers indicate the place in conference that the 
winning team was in.  On the

y-axis (the vertical line) the numbers indicated the number of times the teams in the 1st to 8th  place

in the conference have won.


                          

         

                                              Analysis of  the Statistics

    The probability shown by the graph that a team in the respective place in conference will win the

Stanley cup is as follows.  To obtain the percentage the number of times  a team has won was

divided by the number of years  the data was collected (77 years) 

The 1st placed teams have a 35% chance to win  

The 2nd placed teams have a 34% chance to win

The 3rd placed teams have a 14% chance to win

The 4th and 5th placed teams have a 6% chance to win    

The 6th placed teams have a 1% chance to win

The 7th placed teams have a 3% chance to win

And the 8th placed teams have a 0% chance to win

The statistics of the graph indicate that the  1st and 2nd placed teams have the best chance to win, 

but the teams in the 3rd- 7th places, do not have good chances to win.  The 8th placed teams 

statistically  have no chance to win. There is also a pattern as the chances of a team to win decrease 

with placement.,  with the possible exception of  the 7th place teams(which is probably a statistic 

abnormality)

Part 2

 For a hockey pool, it is best to choose players that are on a team that will go far in the  Stanley

cup playoffs. This part  will statistically identify the teams that will go to the Stanley cup final,


Method

Data was collected about the teams that went to the Stanley cup finals but lost over the last 77 years

and then  plotted on the bar graph below using MATLAB.  The y-axis of the 

graph shows the number of times that a team from a certain place in conference (1st- 8th position)

has gone to the 

Stanley cup finals and lost, while the x-axis shows what place in conference the teams finished in.

 

 
 

GRAPH

   

                                            


Analysis of Statistics  

    

(% derived by dividing the number of times a team has lost in the Stanley Cup final by 77 years and multiplied by 100)      

        

       The 1st placed teams have gone to the Stanley Cup final but lost 26% of the time

       The 2nd placed teams have gone to the Stanley Cup final but lost 28% of the time
       
        The 3rd placed teams have gone to the Stanley Cup final but lost 17% of the time 

       
        The 4th placed teams have gone to the Stanley Cup final but lost 13% of the time

         
        The 5th placed teams have gone to the Stanley Cup final but lost 7% of the time

       
        The 6th placed teams have gone to the Stanley Cup final but lost 4% of the time 

        
        The 7th placed teams have gone to the Stanley Cup final but lost 4% of the time

        The 8th placed teams have gone to the Stanley Cup final but lost 1% of the time 

Through statistical analysis the best place for a team to be in to go to the Stanley Cup finals, and lose is the 2nd seeded team. 
 

 

 Part 3

 

This 3rd and final part of the model was designed  to find the perfect player for the hockey pool 

team. In a hockey pool, the most important aspect is to find the players; this part will help the 

hockey “pooler(s)” successfully pick a great dream team.                 

 

                               



Method

 

The graph below which has been plotted through MATLAB shows the probability that a player from
any team placed from 1st to 8th will win the scoring title in the playoffs. The data is from the last 77

years and the reason that the graph shows more top scorers than years is because some years there

are players who are tied for the scoring lead. On the x-axis, the data shows the seed in conference of

the teams which have the leading scorer(s), while the y-axis shows how many times the team in the

respective place in conference has had a player who has won the playoff scoring title.


   

 Analysis of Statistics

The statistics again show a definite pattern that the number of top scorers decrease from 1st to 5th 

placed teams with 6th being tied with 5th. The 7th and 8th place teams have never had a top scorer.

The statistics of the graph are as follows:
                 
Teams who are placed in the 1st seed have a 38% chance of having a top scorer

Teams who are placed in the 2nd seed have a 28%  chance of having a top scorer


Teams who are placed in the 3rd seed have a 16% chance of having a top scorer
               
Teams who are placed in the 4th seed have a  9%  chance of  having a top scorer
 

Teams who are placed in the 5th seed have a 5% chance of  having a top scorer

Teams who are placed in the 6th seed have a 5%   chance of having a top scorer


 

Selection Model



Now that the statistical investigation is over, a model is made on how to pick the best players.

There are two simple parts to the model as shown below;

1) When picking players for a hockey pool, it is statistically best to pick players from the 1st or

2nd place in the conference.

2)And when trying to pick a Stanley Cup winner, statistically it is best to pick the 1st seeded team.