Fantasy Football - Maths Coursework - Statistics

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Statistics Coursework  –  Jackie Webster         

Fantasy Football – Maths Coursework – Statistics

My coursework is based on the game ‘Fantasy Football’ which is ran by the British newspaper called ‘The Sun’.

Fantasy Football is a competition based on building your own ‘dream team’ and collecting points to try and have the most points at the end of the season with your team, to win the cash prize. All the players from the English Premiership are used and a scoring system is used to see how well the players are doing and who has picked the best eleven players for their team. You are allowed to create your own team consisting of 1 goalkeeper, 4 defenders, 3 midfielders, 2 attackers and a ‘sub’ which must be either an attacker or midfielder. All the players are valued depending on how well they play and the number of points they have from last season. Competitors have a total of £40million ‘money’ to spend on their players. A scoring system is used and players can both gain and loose points. The points for all the players on your team are added up at the end of the season and the competitor who has the team with the most points wins.

I am going to find out how to pick the top-scoring team and I will do this by using last year’s scores. I will use the 2003 scores as they were at the end of the season. I will not be including goalkeepers in my investigation because they have a different scoring system to defenders, midfielders and attackers. To do this I will use two hypotheses:

Hypothesis 1

I think that attackers achieve more points than midfielders and defenders.

Hypothesis 2:

I think that 7+ Ratings will affect the number of points more than goals or clean sheets.

The scoring system for attackers, midfielders and defenders is as follows:

Achieving a 7+ rating: +3 points

Achieving a Star Man Award: +5 points

For scoring a goal: +5 points

For scoring 3 or more goals in one match: +5 points extra

Defender keeping a clean sheet: +5 points

Defender conceding more than one goal: -1 point per goal

Receiving a booking: -1 point

Player being sent off: -3 points including bookings

For achieving the season’s top individual points: +20 points

All my data is from The Sun Newspaper. The data is secondary data, which has its advantages and disadvantages. The advantage is that it is quicker and easier than going out and collecting the data yourself. The disadvantage is that the data may not be 100% reliable or correct because you did not collect it yourself.

Hypothesis 1

I think that attackers achieve more points than midfielders and defenders because they have more chance of gaining points than defenders and midfielders for example, goals. You get 5 points for each goal and an extra 5 points if you score 3 or more goals. I think that attackers will also score more because unless they are booked during the game, there is no way for them to loose points, unlike defenders who loose points for conceding goals. I will use the data I have to prove this.

To do this I will take a sample of my data, from attackers, midfielders and defenders, and with my sample I will make a cumulative frequency graph. From this graph I will be able to find out the median and the interquartile range. I will group my data for this graph. With the information I find out from the cumulative frequency I will use it to draw box plots to compare the skew and distribution.

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For my sample I will use the method Random Quota. I am going to use this because I want my sample to be unbiased and totally random. I will take 30 samples from each group of players; attackers, midfielders and defenders. There are other sample methods I could have used:

Systematic Sampling: Taking data at regular intervals, such as every 5 or 3 players. I did not use this because this is not entirely random because the players are listed in order by the clubs they play for, so this would mean that there would be a player ...

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