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STATISTICAL ANALYSIS IN FOOTBALL INDUSTRIES

Using a dataset from Kaggle dataset 'Football Data: Expected Goals and Other Metrics' and utilize SPSS to find which metrics are significant to improve goal-scoring output. The technique used in this analysis included Stepwise Multiple Linear Regression (including ANOVA, homoscedasticity & multicollinearity test) to establish a causal relationship between the dependent and independent variable. Then Factor Analysis technique (correlation metric, PCA, Varimax) to reduce the dimension of an independent variable

Dataset Link : https://www.kaggle.com/slehkyi/extended-football-stats-for-european-leagues-xg

Multivariate Normality


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Normality of the error term distribution

Linear relationship


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where it assumes there is linear relationship between independent variable and dependent variable

Homoscedasticity (equal variance)


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Constant variance of the error terms where it assume of error term are similar across the value of independent variable

Minimum Multicollinearity


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Independence of the error term where it assumes that all independent variable are not highly correlated with each other

Model Summary


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Top 3 predictors(variable) that is the most significant to the model

Analysis of Variance (ANOVA)


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Determine whether there are any statistically significant differences between the means of three groups.

Coefficients of Regression


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Y = 0.210+0.989X1-0.049X2+0.150X3

  • Y=Goal scored against opponent (scored)
  • X1=Expected Goal (xG)
  • X2= Passes completed within an estimated 20 yards of goal (deep)
  • X3= Number of goals missed in games (missed)

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