Decomposing Belief Updating: Evidence Evaluation and Posterior Formation
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While a large empirical literature documents systematic biases in belief updating, previous work elicits posterior beliefs directly, leaving unresolved at which stage these biases arise. Using an experimental framework, I separate and examine the two stages of belief updating: evaluating evidence and forming posteriors with that evidence. I show that systematic distortions in the form of overestimation begin during evidence evaluation before it is combined with priors. These distortions account for much of posterior under-inference: reported posteriors closely track those obtained by applying Bayes' rule to participants' own likelihood reports, while independently elicited likelihoods reproduce much of the posterior bias in a posterior-only baseline. Intervening at the evidence evaluation stage -- either through elicitation or information provision -- additionally improves posterior beliefs. In a second experiment, I show that absolute likelihood levels systematically shape likelihood judgments and posterior beliefs even when the objective likelihood ratio remains fixed, violating a key ratio-invariance restriction shared by Bayesian updating and a wide class of behavioral models. These findings establish the importance of evidence evaluation in addressing systematic belief biases and in informing richer models of belief formation.
