About incoherent inference

Statistics – Methodology

Scientific paper

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This is an early draft for a letter to PNAS, reflecting only my opinions on Templeton's 2010 PNAS paper

Scientific paper

In Templeton (2010), the Approximate Bayesian Computation (ABC) algorithm (see, e.g., Pritchard et al., 1999, Beaumont et al., 2002, Marjoram et al., 2003, Ratmann et al., 2009) is criticised on mathematical and logical grounds: "the [Bayesian] inference is mathematically incorrect and formally illogical". Since those criticisms turn out to be bearing on Bayesian foundations rather than on the computational methodology they are primarily directed at, we endeavour to point out in this note the statistical errors and inconsistencies in Templeton (2010), refering to Beaumont et al. (2010) for a reply that is broader in scope since it also covers the phylogenetic aspects of nested clade versus a model-based approach.

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