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LLOS.ai · Thinking Lab

Correlation and Causation

Moving together is not the same as one moving the other.

Ice cream sales rise and so do drownings — because summer drives both. Two things tracking each other is easy to find and easy to over-read: A might cause B, B might cause A, something else might cause both, or it might be nothing at all.

26of 32 cards
4hints, in order
7thinking lenses
~10minutes

The question

Write your answer before you read anyone else's
Card 26 · Critical Thinking
📈 ≠ ➡️

Just because two things rise together, does one cause the other?

💭 How to think about this

Ice cream sales rise - drownings rise! Does ice cream cause drowning? NO! Summer causes BOTH! This is the #1 statistical error: confusing CORRELATION (things happening together) with CAUSATION (one causing the other). Let's dive deeper!

Four hints, in order

Each one unlocks the next
🔒 Write a line or two above and the hints unlock.

CORRELATION = two things happening together or following patterns. CAUSATION = one CAUSES the other. Correlation is easy to find - causation requires proof! Just because A and B move together doesn't mean A→B, could be B→A, C→both, or coincidence!

CONFOUNDING VARIABLE = hidden third factor causing both! Ice cream/drowning example: SUMMER is confounding variable (causes both). Shoe size correlates with reading ability - does big feet = smart? NO! AGE is confounding (older = bigger feet AND better reading)!

Maybe B causes A, not A causes B! "Sick people take more medicine" - does medicine cause sickness? NO! REVERSE: sickness causes medicine-taking! "Firefighters are present at fires" - do firefighters CAUSE fires? Always consider direction!

To prove A causes B need: (1) A happens before B, (2) Correlation exists, (3) NO other explanation (ruled out confounders), (4) Mechanism (HOW does A cause B?). That's why controlled experiments matter - isolate the one variable!

Correlation ≠ Causation! Things can move together without one causing the other!

The four possibilities when A and B correlate:

1. A causes B: Smoking → lung cancer ✓

2. B causes A: (reverse causation) Wealth → education? Or education → wealth?

3. C causes both: (confounding) Summer → ice cream AND drowning

4. Coincidence: Nicolas Cage movies correlate with swimming pool drownings (meaningless!)

Famous spurious correlations:

• Divorce rate in Maine correlates with margarine consumption

• Number of people who drowned falling into pool correlates with Nicolas Cage films

• Shoe size correlates with salary (age is confounder!)

Requirements for causation:

✓ Temporal precedence (cause before effect)

✓ Correlation exists

✓ No plausible alternative explanations

✓ Dose-response (more A = more B)

✓ Plausible mechanism (HOW?)

✓ Consistency across studies

Critical question: When seeing correlation, always ask: "What else could explain this pattern?"

Which thinking lens did you use?

Select every one that applies

For parents & teachers

What this card is really practising

🌱 Story Seed

"Kids who eat breakfast get better grades! Breakfast makes you smarter!" "Or... maybe families who have time for breakfast are also more organized about homework? What's really causing what?"

Discussion Guide →
  • Find hidden factors: When two things correlate, brainstorm what else might cause both
  • Consider reverse: "A causes B" - could B actually cause A instead?
  • Look up spurious correlations: tylervigen.com has hilarious examples
  • News headlines: "Studies show X leads to Y" - discuss what else might explain it

Keep going

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