The correlated-groups t test is robust to violations of the normality assumption if _____.
A)the data is measured on a quantitative scale
B)there are homogeneous variances in the population
C)the population of difference scores is large
D)the sample size is relatively large

Question

Quizplus · Accepted Answer

The correlated-groups t test is robust to violations of the normality assumption if the sample size is relatively large. This is because the Central Limit Theorem states that as the sample size increases, the distribution of sample means approaches normality, even if the underlying population distribution is not normal. Homogeneous variances in the population and a large population of difference scores can also improve the performance of the t test, but a large sample size is the most important factor in making it robust to violations of normality.

The Correlated-Groups T Test Is Robust to Violations of the Normality