Demystifying the Bias from Selective Inference: a Revisit to Dawid's   Treatment Selection Problem
  We extend the heuristic discussion in Senn (2008) on the bias from selective inference for the treatment selection problem (Dawid 1994), by deriving the closed-form expression for the selection bias. We illustrate the advantages of our theoretical results through numerical and simulated examples. 
Jiannan Lu and Alex Deng
math.ST stat.TH