Google

Consider two hypothetical studies comparing men and women. In the first, a large sample of $$500$$ women and $$500$$ men yields a strong relationship of Cohen's $$d = 0.50$$. Such a strong result in a large sample is highly unlikely if the null hypothesis were true, meaning the null hypothesis would be rejected. In the second, a small sample of $$3$$ women and $$3$$ men yields a weak relationship of Cohen's $$d = 0.10$$. This weak result in a small sample is quite likely to occur by chance, so the null hypothesis would be retained.

Example of Sample Size and Relationship Strength

If a study with a large sample (e.g., 500 participants per group) yields a strong relationship (such as Cohen's $$d = 0.50$$), what is the typical statistical conclusion regarding the null hypothesis?

Learn Before

Related