I hadn’t read Gelman and Shalizi’s response to my comment on their paper in the British Journal of Mathematical and Statistical Psychology. I see the issue is posted on Gelman’s blog. Here’s the issue of the journal,Philosophy and the practice of Bayesian statistics (with all the discussions!)
Philosophy and the practice of Bayesian statistics (pages 8–38)
Andrew Gelman and Cosma Rohilla Shalizi
How to practise Bayesian statistics outside the Bayesian church: What philosophy for Bayesian statistical modelling? (pages 39–44) Denny Borsboom and Brian D. Haig
Posterior predictive checks can and should be Bayesian: Comment on Gelman and Shalizi, ‘Philosophy and the practice of Bayesian statistics’ (pages 45–56)
John K. Kruschke
Comment on Gelman and Shalizi (pages 65–67)
Stephen Senn
The humble Bayesian: Model checking from a fully Bayesian perspective (pages 68–75)
Richard D. Morey, Jan-Willem Romeijn and Jeffrey N. Rouder
Rejoinder to discussion of ‘Philosophy and the practice of Bayesian statistics’(pages 76–80)
Andrew Gelman and Cosma Shalizi
Error Statistics Philosophy 