Here's the editorial by David Trafimow and Michael Marks explaining the new policy for their journal "Basic and Applied Social Psychology": http://www.tandfonline.com/doi/pdf/10.1080/01973533.2015.101...

And here's their concluding paragraph explaining their rationale and objective:

  We conclude with one last thought. Some might view
  the NHSTP[1] ban as indicating that it will be easier to
  publish in BASP, or that less rigorous manuscripts will
  be acceptable. This is not so. On the contrary, we   
  believe that the p < .05 bar is too easy to pass and sometimes
  serves as an excuse for lower quality research. We hope
  and anticipate that banning the NHSTP will have the
  effect of increasing the quality of submitted manuscripts
  by liberating authors from the stultified structure of
  NHSTP thinking thereby eliminating an important
  obstacle to creative thinking. The NHSTP has dominated
  psychology for decades; we hope that by instituting
  the first NHSTP ban, we demonstrate that
  psychology does not need the crutch of the NHSTP,
  and that other journals follow suit.

[1] NHSTP = null hypothesis significance testing procedure