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

Larger sample variance results in a larger standard error, as it increases the variability of the sample and the uncertainty in the estimation of the population parameter. However, larger variance decreases the effect size measures such as r² and Cohen's d because it increases the within-group variability, making it harder to detect differences or associations between groups or variables. This can lead to smaller effect sizes and less meaningful results.

How Does Sample Variance Influence the Estimated Standard Error and Measures