Correlation vs. Causation

Correlation vs. Causation

  • Correlation does not equal causation.
  • Just because two variables are correlated, it doesn't mean they are causally linked.

Association Claims

  • Association claims are non-committal; they don't assert a causal connection.
  • Example: "Children who go to better preschools tend to get into better colleges."
    • Variables: Quality of preschool and quality of college.
    • Correlation: Positive (as one goes up, the other tends to go up).

Causal Claims

  • Causal claims assert that one variable causes the other to change.
  • Example: "Better preschools lead to better colleges."
    • Implies that preschool quality causes better college outcomes.
  • Causal claims are stronger and require more evidence than association claims.

Wording

  • Association claims use language like "tend to" or "are associated with."
  • Causal claims use language like "leads to" or "causes."

Association vs. Causal Truth

  • If a causal claim is true, the association claim is also true.
  • However, a true association claim does not guarantee the causal claim is true.
  • Example: Ice cream sales and drowning are correlated (association claim is true), but ice cream does not cause drowning (causal claim is false).

Establishing Causation

  • Causal claims require ruling out confounds (other explanations for the relationship).
  • To establish causation, manipulate one variable and measure its effect on the other.
  • This often involves conducting a true experiment.

Types of Claims and Variables

  • Frequency claims: Involve one measured variable.
  • Association claims: Involve two measured variables.
  • Causal claims: Involve two variables, where one is manipulated, and the other is measured.