If other factors are held constant, how does sample size influence the likelihoo

Question

If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r2 and Cohen’s d? A larger sample increases both the likelihood and measures of effect size. A larger sample increases the likelihood but has little influence on measures of effect size. A larger sample decreases the likelihood but has little influence on measures of effect size. A larger sample decreases both the likelihood and measures of effect size.

Explanation / Answer

If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r2 and Cohen’s d?

A larger sample increases the likelihood but has little influence on measures of effect size

we know that when the sample size increase the likelihood is close to the the parameter so affect a lot the likelihood

but has a few influence on measrue of effect size

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