TY - JOUR
T1 - Reply to Berger et al.: Improving ABC
JF - Proceedings of the National Academy of Sciences
JO - Proc Natl Acad Sci USA
SP - E158
LP - E158
DO - 10.1073/pnas.1009012107
VL - 107
IS - 41
AU - Templeton, Alan R.
Y1 - 2010/10/12
UR - http://www.pnas.org/content/107/41/E158.abstract
N2 - Berger et al. (1) claim that I (2) made “a broad attack on the foundations of Bayesian statistical methods.” Rather, I made focused criticisms on approximate Bayesian computation (ABC) as implemented in Fagundes et al. (3), who produced incoherent results. This incoherence arose in part because they used an equation that violates the core foundation of Bayesian analysis: conditional probability. Three models were tested—say A, B, and C—by calculating the conditional probability that a given model, say A, is true given that either A or B or C is true (3). Mathematically, this is:where ∪ is the union and ∩ is the intersection operator. If the models A, … 1E-mail: temple_a{at}wustl.edu.
ER -