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Statistics for Social Sciences · College

Social Science Stats: Correlation vs. Causation

Why correlation does not imply causation, with confounding variable and spurious correlation examples drawn from social research.

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What is a correlation?
A statistical relationship where two variables move together.
What is causation?
One variable directly produces changes in another.
Define a confounding variable.
A third variable that influences both the independent and dependent variables.
What is a spurious correlation?
An apparent relationship between variables that is not due to a direct causal link.
What is temporal precedence?
The cause must occur before the effect.
What is covariation in causal inference?
The cause and effect must be related; changes in one must accompany changes in the other.
What does 'no plausible alternative explanations' mean in causation?
Other variables cannot provide a simpler or more parsimonious explanation for the relationship.
Explain the 'third variable problem.'
X and Y correlate because both are influenced by Z, not because X causes Y.
What is reverse causality?
The presumed direction of causation is backwards; Y may cause X instead of X causing Y.
What is selection bias as a confound?
The sample studied differs systematically from the population in ways related to both variables.
What is regression to the mean?
Extreme values tend to move closer to the average on a second measurement, creating spurious correlation.
What is attrition bias?
Participants systematically drop out, changing sample composition and confounding relationships.
What are demand characteristics?
Cues that communicate the study hypothesis, causing participants to alter behavior to confirm it.
Why do ice cream sales and drowning deaths correlate?
Both increase during summer months; warm weather is the confounding variable.
What confound explains the education-income correlation in social research?
Family socioeconomic status influences both education attainment and earning potential.

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