There is a lot of discussion going on in psychology about the usefulness of classical hypothesis testing as an indication of the importance of results. If one study rejects the null hypothesis at the .01 level and another study rejects at the .05 level, is the first indicative of a stronger effect?

i. Discuss the concern with determining importance from classical hypothesis testing? How do sample size and standard error contribute to this discussion?

ii. What indices besides statistical significance could a statistician utilize to describe the magnitude of an effect?