How does sample variance influence the estimated standard error and measures of effect size such as r² and Cohen's d? A)Larger variance increases both the standard error and measures of effect size. B)Larger variance increases the standard error but decreases measures of effect size. C)Larger variance decreases the standard error but increases measures of effect size. D)Larger variance decreases both the standard error and measures of effect size.

Question

Quizplus · Accepted Answer

Sample variance influences the estimated standard error and measures of effect size such as r² and Cohen's d in opposite ways. A larger variance increases the standard error because it implies greater variability in the data. However, a larger variance decreases measures of effect size because it reduces the signal-to-noise ratio, making it more difficult to detect a true effect. Therefore, option B is the correct choice as it correctly identifies that larger variance increases the standard error but decreases measures of effect size.

How Does Sample Variance Influence the Estimated Standard Error and Measures