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Major Project ¨C Performance of Professional European Soccer Clubs
The English Premier League, England¡¯s professional soccer league has long been considered one of the most difficult, lucrative, competitive and most loved soccer leagues in the world. So much is this fact that many people associate soccer immediately with England or one of its smaller teams. Sometimes even individual players such as David Beckham or Thierry Henry symbolise the game in England. Even if now the season has ended for the English Premier League has ended, there still are leagues all around the world, playing for the glory that comes for being the soccer champions of their nation. There are leagues established in every continent in the world, and the FIFA World Cup is a cumulation of all these leagues. The world cup is the most widely watched event in the world, and this is one of the reasons why soccer is sometimes considered as the ¡®World Game¡¯.
However, though the English Premier League has been considered the foremost soccer competition, this statement is based more on reputation and popularity. Because many people hear first of soccer from the League, these people consider the English Premier League as the best and most competitive. But there are many other Leagues around Europe alone that boast even more expensive teams, more ferocious competition and more soccer superstars than any other league. An example of one of these leagues is the Spanish version of the league the Spanish Primera Liga.
So does the English Premier League have what it takes to compete with the Spanish Primera Liga?
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To answer the question, four of the top teams as of this date are selected from both of these leagues. Their last 1 games were then found and then their scores were recorded down. From these scores, an estimate for the average for top-flight teams in both leagues could be found and thus compared. The league that can achieve the highest projected average for an entire season is then the most prolific scoring and therefore the better performers.
The Method
To predict the performance for an entire season of each club, a sample of 1 scores from each club from their last 1 games would be taken. Thus, 48 scores would be taken from each league, with 6 scores in total for both leagues combined. After the data is collected, the mean, sample distribution and the five number summary would be found for each league.
Because the entire season performance is being forecasted from a sample only, the population mean would instead be a range, with a certain level of confidence that the mean will fall inside that range. This equation
¦Ì = x ¡À (z) x ¦
¡Ìn
Where ¦Ì is the population mean, X is the sample mean, z is the confidence level, ¦ is the standard deviation for the sample data, and n is the count of results. This equation will determine within a certain confidence interval the mean of the population, on in this case, for an entire season of soccer.
To find these, the TI-8 function 1-Var Stats will summarise the data into a readable form. It will find x and ¦. The z score is equal to 1.6 for a 5% confidence interval for analytical comparison, and n is 48 or the number of stats for each league. However, the assumption must be made that the results obtained will be approximately normal for this to be effective.
Data Collection
The data, the goals scored by each team had been documented by one of the Internet¡¯s foremost sports networks. ESPN is a sport network dedicated to all major forms of sport and their soccer branch (named Soccernet) keep records of team statistics, player statistics, fixtures, records and general articles. The scores from this year¡¯s English Premier League and Spanish Primera Liga were taken from this site, as these results were accurate when compared to the official game records stored at the official sites of the leagues.
To ensure there was no bias in the scores supplied by the teams, the scores for all eight teams were taken from the last 1 games of their seasons. The theory behind this is that at the end of the season, every team adds to their regular performance to achieve the highest possible position in the ladder at the end of the season. So all the teams selected would have to have undergone this period of high performance during the selected 1 games of the season.
Also, to ensure the end result was to be as accurate as possible, 48 scores were collected for each league, adding up to a total of 6 scores. These 48 scores are needed for sufficient comparisons to be drawn between the leagues as well as for accurate use for the population mean equation.
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