Some statistical methods that involve many comparisons and, thus, a good chance for such errors include some "correction" or adjustment for the total number of comparisons.
However, many statistical methods (especially simple exploratory data analyses) do not offer any straightforward remedies to this problem.
Therefore, it is up to the researcher to carefully evaluate the reliability of unexpected findings. There are many examples in the
StatSoft online textbook that offer specific advice on how to do this and guidance can also be found in most research methods textbooks.