Multicollinearity - Yousef's Notes
Multicollinearity

Multicollinearity

A situation in #ml/regression analysis where two or more independent variables are highly correlated, making it difficult to distinguish their individual effects on the dependent variable.

#Impact

  • Inflates standard errors of coefficients.
  • Leads to unreliable statistical tests (e.g., t-tests) and unstable estimates.

#Detection

  • High correlation between predictors (Variance Inflation Factor, VIF > 10 is a common threshold).
  • Condition Index or Eigenvalues from the correlation matrix.

#Consequences

  • Difficulty in assessing the effect of each predictor.
  • Potentially misleading p-values and confidence intervals.

#Solutions

  • Remove or combine correlated variables.
  • Use regularization techniques like Ridge Regression that can handle multicollinearity.
  • Principal Component Analysis 1 (PCA) to reduce dimensionality.