Which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic and a large measure of effect size?
A)A small mean difference and small sample variances
B)A large mean difference and small sample variances
C)A small mean difference and large sample variances
D)A large mean difference and large sample variances

Question

Quizplus · Accepted Answer

A large mean difference indicates a greater difference between the two groups being compared, which can increase the likelihood of a significant t statistic. Additionally, small sample variances will decrease the standard error of the mean difference, making it easier to detect meaningful differences. A large effect size would also be more likely with a large mean difference.

Which Set of Sample Characteristics Is Most Likely to Produce