The Product Moment Correlation Coefficient

The Product Moment Correlation Coefficient

  • Product Moment Correlation Coefficient (r or ρ) measures strength and direction of linear relationship between two continuous variables.
  • The method evaluates fit of data points to a straight line on a scatterplot.
  • Coefficient values range from -1 (perfect negative linear relationship) to 1 (perfect positive linear relationship).
  • 0 indicates no linear association between variables.
  • Coefficient calculates using a specific formula that involves differences between individual data points and their means, divided by standard deviations of both variables.
  • Interpretation of the coefficient must be careful as strong correlation doesn’t imply causation, and other factors may influence the relationship.