Question

PSY: What is the relationship between sample size and different kinds of hypothesis testing errors?

please provide a detailed explanation, and as easy and simple to understand

Answer 1

The researcher must decide which type I error use for his test without reference to the sample size. If he enlarges his type I, enlarges the sample size or improves the experimental design, he enlarges the power of his test, but the sample size and the type I error do not usually affect to each other. May be that if someone adjust the type I error to the p value after the test, instead of deciding it a priori, that a larger sample size may "give" a smaller type I error, but this is a methodological abuse of the Test of Hypothesis.

Type I and Type II errors are dependent. In other words if Type I error rises,then type II lowers. So, if we assume Type II error constant, then yes with increasing sample size Type I error lowers and vice versa.