Under what circumstances is a very small treatment effect still likely to be statistically significant?
A)if the sample size is small and the sample variance is small
B)if the sample size is small and the sample variance is large
C)if the sample size is large and the sample variance is small
D)if the sample size is large and the sample variance is large

Question

Under what circumstances is a very small treatment effect still likely to be statistically significant?
A)​if the sample size is small and the sample variance is small
B)​if the sample size is small and the sample variance is large
C)if the sample size is large and the sample variance is small
D)​if the sample size is large and the sample variance is large

Quizplus · Accepted Answer

When the sample size is large, the statistical power increases, making it more likely to detect even small treatment effects. Additionally, when the sample variance is small, the data points are clustered closer around the mean, making it easier to detect a small treatment effect with statistical significance.

Under What Circumstances Is a Very Small Treatment Effect Still