Question

What can increase of sample size lead to?

A. The ability to detect an effect if it exists has increased

B. Power has increased AND the ability to detect an effect if it exists has increased

C. Effect size has increased

D. All of these options

E. Power has increased

Answer 1

Increase in sample size will decrease the standard error, so a small change in the variable will lead us to reject the null hypothesis and thus increases the ability to detect an effect.

Power is rejection of false null hypothesis. Increase in sample size will decrease the standard error, so a small change in the variable will lead us to reject the null hypothesis and thus increases the probability to reject the false null hypothesis.

Effect size is ratio of change in means to standard deviation. Thus, the sample size do not have any impact on the effect size.

The answer is,

B. Power has increased AND the ability to detect an effect if it exists has increased