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. Author manuscript; available in PMC: 2012 Nov 1.
Published in final edited form as: Cogn Sci. 2011 Oct 4;35(8):1407–1455. doi: 10.1111/j.1551-6709.2011.01203.x

Table 2.

Posterior Probabilities for Bayesian Model of Backwards Blocking (Experiment 1)

Prior Probability After AB Event After A Event

Causal Structures
 Graph 0 (1−ρ)2 0 0
 Graph 1 ρ(1−ρ) (1−ρ)/(2−ρ) 1−ρ
 Graph 2 ρ(1−ρ) (1−ρ)/(2−ρ) 0
 Graph 3 ρ2 ρ/(2−ρ) ρ
Probability of Being a Blicket/Containing Super Lead
 Object A ρ 1/(2−ρ) 1
 Object B ρ 1/(2−ρ) ρ

Note. The probability of an object being a blicket/containing super lead is computed by summing the probability of all causal structures in which a causal relationship exists between placing that object on the detector and the detector activating. The AB event corresponds to e+|a+,b+, and the A event is e+|a+,b−,