Correlation vs Causation: The Difference, With Everyday Examples
Also called: correlation does not imply causation, correlation is not causation, cum hoc ergo propter hoc, false cause
Updated · 6 min read · 5 sources
The short answer
Correlation vs causation is the difference between two things happening together and one thing actually making the other happen. A correlation means two things tend to rise or fall together. Causation means changing one would change the other. A correlation can come from a hidden third factor, from the arrow pointing the other way, or from plain coincidence.
What is the difference between correlation and causation?
The difference between correlation vs causation comes down to one question: does one thing produce the other, or do the two just show up together? A correlation is a pattern. Causation is a mechanism: if you changed the first thing, the second would change too.
The Australian Bureau of Statistics makes the point plainly. Ice cream sales and sunscreen sales climb and fall together over the year, but neither one drives the other. The season does. A correlation measures how strongly two things move together; on its own it says nothing about cause and effect.
Why correlation is not causation: the usual suspects
When two things go together, there are several explanations besides 'A causes B'. Before you blame the obvious suspect, run through these.
- A third factor (confounder)
- Something else drives both. The JMP statistics guide describes data where people who exercise more also have more skin cancer; the likely link is sunshine, which brings both outdoor exercise and sun exposure. At home, a teen's screen time and slipping grades might both come from poor sleep, a brutal semester or a friendship falling apart.
- Reverse causation
- The arrow points the other way. Windmills spin faster when the wind is stronger, but the windmills don't make the wind. Maybe the phone isn't sinking the grades; maybe the phone is where a kid hides because school already feels hopeless.
- Both directions
- Each feeds the other. A couple who texts less may feel less close, and feeling less close may lead to fewer texts. Asking which one started it rarely helps.
- Coincidence
- With enough data, unrelated things line up by chance. Tyler Vigen's Spurious Correlations project shows Google searches for 'cat memes' tracking airbag recalls, found by comparing thousands of variables until some happened to match.
Correlation vs Causation examples
How it shows up in everyday arguments
Most of us don't argue with spreadsheets. We argue with patterns we've noticed: 'Every time you go out with them, you come home in a bad mood.' 'Whenever your sister calls, we end up fighting.' 'Since you started gaming again, you never help with dinner.' The pattern may be real. The leap is from 'these go together' to 'this one causes that one, so it has to stop.'
The trouble is that the conclusion usually points at a person or a thing to ban: the friends, the phone, the sister. If the real driver is something else, the ban costs a relationship and leaves the problem exactly where it was. A noticed pattern can also slide into a hasty generalization about someone's character, especially if you only remember the nights that fit and forget the ones that don't, which is cherry picking.
Correlation vs causation and the post hoc fallacy
Assuming causation from correlation has an old Latin name, cum hoc ergo propter hoc: 'with this, therefore because of this.' Its sibling is post hoc ergo propter hoc, 'after this, therefore because of this,' which treats the order of events as proof. Both are false cause errors, and the Fallacy Files notes that many writers treat them as one.
In real arguments they blend together. 'Ever since you started the new job, you've been short with me' leans on timing, so it's the post hoc version. 'You're always grumpy on the days you see your dad' leans on two things occurring together, so it's the correlation version. The test for both is the same: look for other explanations before you assign blame.
How to tell if one thing really causes another
Researchers lean on controlled studies: split people into comparable groups, change one thing, and compare what happens. The Australian Bureau of Statistics calls this the most effective way to establish cause, and when an experiment would be unethical, researchers follow groups over time instead. You can't randomize your family, but you can borrow the logic.
- Check the timing. Does the supposed cause come first, every time?
- Look for a third factor. What else is different on those days? Work deadlines, sleep, money, who else is around.
- Flip the arrow. Could the 'effect' be causing the 'cause'?
- Look for exceptions. Does the effect happen without the cause, or the cause without the effect?
- Ask for a mechanism. Is there a believable way A would produce B?
- Run a small, agreed test. Change one thing for a few weeks and see what happens.
When a correlation is a fair clue
Correlation isn't worthless. It's often the first hint that something is going on, and science starts there too. JMP describes how a link between exercise and heart health led researchers to look for a biological mechanism and then test it in a controlled experiment. The pattern was the clue; the test was the proof.
So 'every time you go out with them, you come home upset' is worth saying. Just say it as an observation and a question, not a verdict: 'I've noticed you're often down after those nights. Is something going on?' If you can't agree whether the evidence supports the claim, you can lay out both sides for our free argument judge and see which reading holds up.
What to say
I believe you've noticed that. Can we look at what else is going on those days before we decide what's causing it?
What if it's the other way around? Maybe I'm on my phone more because I'm stressed, not stressed because of my phone.
Those are also my longest workdays. Could being tired explain both?
Let's change one thing for two weeks and see if it makes a difference. If it does, I'll own it.
I might be connecting the wrong dots, but I keep seeing this happen after that. What do you think is going on?
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Questions people ask
What is an example of correlation but not causation?
Ice cream sales and sunscreen sales rise and fall together over the year. Neither causes the other; warm, sunny weather drives both.
What does 'correlation does not imply causation' mean?
It means a pattern between two things, however strong, isn't enough on its own to show that one produces the other. You also need the right timing, a plausible mechanism, and a reason to rule out third factors, reverse causation and chance.
What is a confounding variable?
A confounder is a third factor that affects both things you're comparing, which makes them look connected. Hot weather is the confounder behind ice cream and sunscreen sales.
Can correlation ever prove causation?
Not by itself. A correlation combined with controlled experiments, consistent timing and a known mechanism can make a causal claim very strong, which is how researchers build the case.
Is confusing correlation with causation a fallacy?
Yes. It's a false cause fallacy, often called cum hoc ergo propter hoc, and a close relative of the post hoc fallacy, which treats 'after' as 'because'.
Sources
Keep reading
- FallaciesPost Hoc Ergo Propter HocPost hoc ergo propter hoc (Latin for 'after this, therefore because of this') is the fallacy of assuming that because one thing happened after another, the first caused the second: 'Ever since your mom visited, you've been distant.' The timing may be a clue, but coincidence, a shared cause or something else entirely could explain it.
- FallaciesHasty GeneralizationA hasty generalization is a sweeping conclusion drawn from too few examples, or from examples that aren't typical: one unanswered text becomes 'you never answer me', one messy roommate becomes 'people from that school are slobs'. The examples may be real. There just aren't enough of them to support a claim about always, never or everyone.
- FallaciesCherry Picking FallacyThe cherry picking fallacy is selecting only the facts, examples or quotes that support your side while ignoring the ones that don't. Each picked item may be true, but the overall picture is false. Showing a friend three screenshots out of a two-hour text fight is a common everyday version.
- FallaciesAnecdotal FallacyThe anecdotal fallacy is using a personal story or an isolated example in place of solid evidence about a general claim. "My grandpa never wore a seatbelt and lived to ninety" says nothing about whether seatbelts save lives. Stories are vivid and memorable, which is exactly why they can outweigh better evidence in an argument.
- FallaciesDeductive vs Inductive ReasoningDeductive vs inductive reasoning is the difference between proving a conclusion and supporting it. Deductive reasoning aims for certainty: if the premises are true and the form is valid, the conclusion must be true. Inductive reasoning draws a probable conclusion from evidence such as past cases, so even strong induction can turn out wrong.
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