A paper should always say something about the bigger picture even if it is only three sentences in the Introduction or at the beginning of the discussion. Even when you are reading papers in your own specialty, it is often refreshing to have things put into perspective. If you use statistics, however, try to use them correctly. Do not be frightened by statistics. If there are a lot of statistics, find the right collaborator.
Teamwork makes for good papers.
Fortunately, in this day and age, biostatisticians abound. Usually the statistician points out better ways to analyze the data, more powerful tests that can be used or problems in the design. However, if there is a design problem, this is not a statistical quibble, but a basic problem in the structure of the work and it should be examined closely. Many journals will not even send a paper for statistical review until they have decided that they are really interested in it. If the data and design are sound, even complicated statistical problems can almost always be fixed.