The correlation of .19 may be significant, but the magnitude of the relationship is still quite modest. For example, it might be true that in a study involving 5.000. second-year graduate students in clinical psychology across the nation, there is a correlation of 15 between their GRE scores and faculty ratings of academic competence. Even though the relationship is not a chance one, the actual importance is rather small. Most of the variance in faculty ratings is due to factors other than GRE scores. In some cases, a correlation of 15 may be judged important, but in many instances, it is not. At the same time, we should remember that accepting significance levels of .05 as non-chance represents a kind of scientific tradition, but it is not sacred. Other information may persuade us, in certain cases, that significance levels of .07 or 09, for example, should be taken seriously.