It is claimed that Kuipers’ approach to explanation opens the possibility for a further refinement of his own refined HD method for the evaluation of theories. One severe problem for the HD method, refined or not, is theory-ladeness. Given that experimental results are theory-laden, the comparative evaluation of alternative hypotheses is always relative to background knowledge. This difficulty can be avoided by supplementing HD considerations with the principle of inference to the best explanation. The authors sketch a program for doing this. The general idea plays on some similarities between Kuipers’ account of explanation and Lipton’s. The former, however, is considered more flexible than the latter, which makes it even more attractive for the purpose under consideration.