If the sample mean difference is 3 points,which of the following sets of data would produce the largest value for Cohen's d?
A)n = 10 for both samples and a pooled variance of 15
B)n = 20 for both samples and a pooled variance of 15
C)n = 30 for both samples and a pooled variance of 15
D)Cohen's d is the same for all three of the samples.

Question

If the sample mean difference is 3 points,which of the following sets of data would produce the largest value for Cohen's d?​
A)​n = 10 for both samples and a pooled variance of 15
B)​n = 20 for both samples and a pooled variance of 15
C)​n = 30 for both samples and a pooled variance of 15
D)​Cohen's d is the same for all three of the samples.

Quizplus · Accepted Answer

Cohen's d is calculated as the difference between two means divided by the standard deviation for the data. The size of the samples (n) and the pooled variance being constant across the options means that Cohen's d will be the same for all three samples, as it does not depend on the sample size but rather on the mean difference and the pooled standard deviation.

If the Sample Mean Difference Is 3 Points,which of the Following