Evaluate evidence by its likelihood ratio, not by how it makes you feel
Ask how much more likely this evidence would be if you’re right versus if you’re wrong.
Why it works
Not all evidence is equal; its strength is determined by its likelihood ratio: how much more (or less) probable the evidence is in the hypothesis-true world versus the hypothesis-false world. Evidence that is equally likely under both hypotheses carries zero information. This framing cuts through the common mistake of treating "evidence I like" as strong evidence and "evidence I dislike" as weak.
How to do it
- State both hypotheses explicitly: H₁ (what you believe) and H₂ (the alternative).
- Ask: "Would I see this evidence more often if H₁ were true, or if H₂ were true?"
- If H₁ makes the evidence much more probable, it is strong evidence for H₁.
- If H₂ also predicts the evidence easily, the evidence barely updates you.
Evidence
The likelihood ratio is the formal measure of evidential strength in Bayesian statistics and signal detection theory. Its use as a practical reasoning heuristic is supported by calibration research showing it outperforms intuitive evidence weighting. (mechanistic)
Applying likelihood ratios verbally is an approximation of the formal method; the formal Bayesian apparatus requires quantified probabilities that real-world beliefs often lack.
Common mistake
Treating evidence as strong just because it exists — "there is evidence for X" — without asking how much more common that evidence would be in a world where X is true versus false.
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More practices for Bayesian Thinking: How to Update Beliefs Rationally
- State your prior probability before seeing the evidence
Before looking at any data, commit to a numerical estimate of how likely something is.
- Update beliefs incrementally, not all at once
New evidence should shift your probability somewhat — rarely from 5% to 95% in one step.
- Practice calibration by tracking your confidence predictions
Your "80% confident" beliefs should come true about 80% of the time — check that they do.
- Actively seek evidence that would disconfirm your belief
Ask: "What would change my mind?" and then look for exactly that.
- Use reference classes to ground personal estimates in base rates
Before estimating how your situation will unfold, find similar past situations and check what happened.
- Translate beliefs into bets to reveal your true confidence
Would you bet $100 on that belief at even odds? The answer often reveals the gap between claimed and actual confidence.
Related concepts
- Thinking, Fast and Slow, Made Usable
Two systems, the biases they create, and when to slow down
- Mental Models: Charlie Munger’s Latticework Approach
Building the multi-disciplinary toolkit that lets you see what single-discipline thinkers miss
- Confirmation Bias: Seeing What You Expect to See
The most pervasive cognitive bias and the practices that actually chip away at it
- Expected Value Thinking: Deciding Under Uncertainty
The math of rational choice under uncertainty, its real limits, and how to use it anyway