Confidence intervals & credible intervals

This is a note for me.

Confidence intervals: “Are the observed data x reasonable given the hypothesised values of θ?” == P(θ| x)


Credible intervals: “What values of θ are reasonable given the observed data x?” == P(x| θ)

Those are related as “P(θ| x) = P(θ)P(x| θ)”

Credible intervals are part of Bayesian approach.


One thought on “Confidence intervals & credible intervals

  1. Also, there is Coefficient of Confidence

    Trafimow, online first. Using the Coefficient of Confidence to Make the Philosophical Switch From A Posteriori to A Priori Inferential Statistics, doi: 10.1177/0013164416667977

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