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Fig. 4.

image

Panel a: filled contour with the distribution of Bayes factors, BRA and BAR, over the two-dimensional data space 𝒟. Solid lines connect points with p(𝒟|MR) = p(𝒟|MA) (Bayes factor equal to zero). The computations are performed over a grid of points (Nf = 80, NP(f)⟩ratio = 155) over the ranges f ∈ [0.05, 4] and ⟨P(f)⟩ratio ∈ [0.25, 4.1]. The priors are p(ξE)∼𝒢(1.9, 0.3) for MR and p(ξE)∼𝒢(4.3, 0.6); p(R0)∼𝒢(0.5, 0.02) for MA. Triangles represent CoMP data. The error model for observed and synthetic average power ratio is the same adopted in the inference analysis, Sect. 3.1. Following Kass & Raftery (1995), the evidence in favour of a model, i, in front of an alternative, j, is inconclusive for values of 2log(Bij) from 0 to 2; positive from 2 to 6; strong from 6 to 10; and very strong for values above 10. Panel b: marginal likelihood for models MR and MA for the data points circled in (a) as a function of average power ratio. The vertical dotted lines are the CoMP average power ratio values.

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