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Direct comparison

Correlation vs. Causation: The Difference

Correlation means two variables move together; causation means one produces the other. How to tell them apart, spot confounders, and avoid false conclusions.

Side-by-side comparison

DimensionCorrelationCausation
What it meansTwo variables statistically move togetherOne variable directly produces a change in the other
DirectionalitySymmetric -- "A correlates with B" = "B correlates with A"Asymmetric -- cause precedes and produces effect
Typical measurePearson's r (-1 to +1) or Spearman's rhoEstimated treatment effect from a designed comparison (e.g., RCT, natural experiment)
Can be shown byAny dataset with two measured variablesRandomization, controlled comparison, or strong quasi-experimental design
Confounding riskHigh -- a third variable can drive bothMinimized by random assignment or explicit statistical control
Time order required?No -- can be measured at a single point in timeYes -- cause must precede effect
Typical study designCross-sectional survey, observational cohort, secondary data analysisRandomized controlled trial, natural experiment, well-controlled quasi-experiment
Common evaluation frameworkStatistical significance, effect size, confidence intervalBradford Hill criteria, replication, mechanism plausibility
Common error when confusedOverinterpreting an association as proof of a mechanismAssuming a single study or dataset is sufficient without ruling out confounders

Common questions

FAQ

Does correlation ever imply causation?+

Correlation is consistent with causation and is usually a necessary first signal for it, but it never proves it on its own. A causal claim needs supporting evidence such as correct temporal order, a plausible mechanism, ruling out major confounders, and ideally a randomized or well-controlled design.

What is a confounding variable, in plain terms?+

A confounding variable is a third factor that influences both variables you are studying, creating an association between them even though neither directly causes the other. A classic example is hot weather driving up both ice cream sales and swimming-related drowning risk at the same time.

Can causation exist without a strong measured correlation?+

Yes, in some cases -- if a causal effect is small, if it is masked by opposing effects in a mixed population, or if the relationship is non-linear, a simple correlation coefficient can understate or miss a real causal relationship, which is why researchers also look at study design and mechanism, not statistics alone.

Why do researchers prefer randomized controlled trials for causal claims?+

Random assignment balances both known and unknown confounding factors across groups before treatment, on average, which is what allows researchers to attribute a difference in outcomes to the treatment itself rather than to pre-existing differences between groups.

What are the Bradford Hill criteria?+

A set of considerations proposed by epidemiologist Austin Bradford Hill in 1965 for judging whether an observed association is likely causal -- including strength, consistency, temporality, dose-response gradient, plausibility, coherence, and supporting experimental evidence. It is a structured judgment framework, not a mechanical test.

Referenced across the research world

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