I always wonder if this is a good idea. While getting a false positive is not really a problem, because you're going to do a follow up experiment, what happens to the things we miss? If you do an experiment that doesn't really have a large enough sample size, or comes from a biased sample (because it's really an offshoot of a different experiment) and you decided that there is no effect, does it stop others from researching that effect? I suppose since we don't tend to publish negative results maybe it doesn't matter, but it's always something that has niggled at me.

The trade-off between Type I and Type II error is an inherent problem in research. But false positives are most certainly a problem, too. Just look at the issues psychology and biomedicine have been grappling with in terms of replication. Whole careers were wasted based on what seem now like false positives.