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In their letter to PNAS and a comprehensive set of notes on arXiv[arXiv:0909.5673v2], Christian Robert, Kerrie Mengersen and Carla Chen (RMC)represent our approach to model criticism in situations when the likelihoodcannot be computed as a way to "contrast several models with each other". Inaddition, RMC argue that model assessment with Approximate Bayesian Computationunder model uncertainty (ABCmu) is unduly challenging and question its Bayesianfoundations. We disagree, and clarify that ABCmu is a probabilistically soundand powerful too for criticizing a model against aspects of the observed data,and discuss further the utility of ABCmu.

Notes to Robert et al.: Model criticism informs model choice and model comparison