Skip to content
ArgueResolver
Reasoning basics

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

The new phone and the report cardParent and teen
Dad
Your grades dropped the same semester you got the new phone. The phone's going in a drawer.
Lena
My grades dropped because chemistry is killing me and I'm barely sleeping. I'm on my phone because I'm stressed.
Dad
Okay. Then let's try two weeks with the phone charging in the kitchen at night and see if your sleep and your grades change.
Lena
Fine. And can we talk about getting help with chem?
What's happening: Dad saw two things moving together and picked a cause. Lena offered a third factor (a hard class and lost sleep) and reverse causation (stress driving phone use). A small test is fairer than a ban based on timing alone.
Every time you go out with themCouple
Nadia
Every time you go out with Chris and those guys, you come home in a mood. They're a bad influence.
Sam
Those are also the Fridays I go straight from a ten-hour shift. I'm wiped out before I even get there.
Nadia
Huh. So is it them or the Fridays?
Sam
Probably the Fridays. Let me see them on Saturdays for a while and we'll find out.
What's happening: Nadia's pattern was real, but the friends were only one of the things showing up together. Exhaustion explains both the timing and the mood, and they agree on a test instead of a ban.
The project lead who is always lateCoworkers
Tom
Every project Dana leads runs late. She's the problem.
Ines
Dana also gets every client who changes the scope three times. That's why they keep giving her those projects.
What's happening: The confounder is hiding in how the work is assigned: the hardest projects go to one person, so lateness and Dana show up together. Comparing projects of similar difficulty would say much more about her.

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

When a pattern becomes a verdict
I believe you've noticed that. Can we look at what else is going on those days before we decide what's causing it?
When the arrow might point the other way
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.
When you suspect a hidden third factor
Those are also my longest workdays. Could being tired explain both?
When you want to settle it fairly
Let's change one thing for two weeks and see if it makes a difference. If it does, I'll own it.
When you're the one who noticed the pattern
I might be connecting the wrong dots, but I keep seeing this happen after that. What do you think is going on?

In an argument right now?

Type both sides and get a fair verdict, with the fallacies on each side. Free.

Who's right? →

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

  1. Australian Bureau of Statistics: Correlation and causation
  2. JMP Statistics Knowledge Portal: Correlation vs. causation
  3. The Fallacy Files: Cum hoc ergo propter hoc
  4. Wikipedia: Correlation does not imply causation
  5. Tyler Vigen: Spurious Correlations

The ArgueResolver app · iPhone and Android

Record the argument. Get the verdict.

ArgueResolver listens while you talk it out, works out who said what, and gives an honest verdict on what was actually said, with compromises and steps to fix it.

Free to start · See how it works