In the collection Epistemology and rationality

How do scientists tell correlation from causation?

Scientists rely on randomized trials where possible, and otherwise build a case from timing, strength, consistency, mechanism and dose-response while ruling out confounders and reverse causation.

AI-drafted from web search results, then checked by a second, independent AI that read 6 of its 6 cited pages in full and found the thread supported. No person has reviewed it.

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Diagram with 'Hot weather (confounder Z)' at top, with arrows labeled 'More people buy ice cream' to 'Ice cream sales (X)' and 'More people go swimming' to 'Drownings (Y)'. A dotted line between the two outcomes is labeled 'Correlated but neither causes the other', with a legend explaining solid arrows as causes and dotted lines as correlation.
A causal diagram shows hot weather as a confounder that causes both ice cream sales and drownings, which are correlated but do not cause each other. Image: Derek Jansen, CC BY 4.0, via Wikimedia Commons. Chosen automatically; not checked by a person.
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The short answer

Correlation means two variables are associated: when one changes, the other tends to change too. Causation means a change in one directly produces a change in the other. Scientists separate the two mainly by running randomized controlled trials, which are described as the gold standard for direct evidence. When trials are not possible, they gather several kinds of indirect evidence and check whether other explanations can be ruled out. [1] [2]

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Why a correlation can mislead

An orthopaedic research review names three common reasons a correlation is mistaken for causation. The first is coincidence: rising rates of breast cancer or liver disease may track rising joint replacements purely by chance. The second is reverse causality, where the supposed effect actually comes first. For example, a very low body mass index is linked to higher short-term mortality after joint replacement, partly because low weight reflects poor underlying health. The third, and the most common, is confounding, where a third factor distorts the apparent relationship between two variables. [2]

An ecology paper states the same idea as the Common Cause Principle. If two variables are statistically dependent, then either X causes Y, Y causes X, or a third variable causes both. [3]

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The power of randomized trials

In a randomized controlled trial, participants are randomly assigned to receive an intervention or to serve as controls. Because of this, a difference between the groups can be attributed to the intervention, since randomization minimizes the influence of measured and unmeasured confounders. A data science textbook likewise calls randomized experiments the most reliable way to infer causation from data. [1] [4] [2]

Trials are not always possible for ethical or practical reasons. There is no trial showing that smoking causes lung cancer, because the indirect evidence is so strong that running one would be unethical. Most analyses in science, medicine and the social sciences therefore use observational data, where causal conclusions depend on assumptions that can be hard to verify. [1] [4]

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Building a case from indirect evidence

Without a trial, scientists reason inductively, and each piece of evidence strengthens the case even if none is persuasive alone. Temporality is the only absolute requirement: the cause must come before the effect, though long lags, such as 20 to 60 years between asbestos exposure and mesothelioma, can obscure this. Other supports include a strong association, consistent results across studies using different methods, and a plausible mechanism, such as lab work showing how a substance damages cells. A dose-response relationship, where larger exposures produce larger effects, is also highly supportive, although some causes act only above a threshold, as with the minimum infectious dose for many infections. [1]

Other sources give similar checklists. The data science textbook adds the elimination of alternative explanations such as confounders, and the National Library of Medicine page lists biological plausibility, coherence and specificity of association among its criteria. [4] [5]

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A note on the slogan

A Nature Methods article states that correlation implies association but not causation, and that causation implies association but not necessarily correlation, since correlation measures specifically increasing or decreasing trends. [6]

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Sources

  1. If ‘correlation doesn’t imply causation’, how do scientists figure out why things happen? (theconversation.com) Found by source search. Not checked by a person.
  2. How to Distinguish Correlation from Causation in Orthopaedic Research (pmc.ncbi.nlm.nih.gov) Found by source search. Not checked by a person.
  3. Best practices for moving from correlation to causation in ecological research - PMC (pmc.ncbi.nlm.nih.gov) Found by source search. Not checked by a person.
  4. 19  Association Is Not Causation – Introduction to Data Science (rafalab.dfci.harvard.edu) Found by source search. Not checked by a person.
  5. Finding and Using Health Statistics (nlm.nih.gov) Found by source search. Not checked by a person.
  6. Association, correlation and causation | Nature Methods (nature.com) Found by source search. Not checked by a person.

Questions to follow next

  • What is a confounding variable, and how do researchers adjust for it?
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  • Why was it considered unethical to run a trial on smoking and lung cancer?
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  • How do natural experiments help establish causation without randomization?
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