When comparing more than two treatment means,should you use an analysis of variance rather than using several t tests,and if so,why?
A)Yes. Using several t tests increases the risk of a Type I error.
B)Yes. Using several t tests increases the risk of a Type II error.
C)Yes. The analysis of variance is more likely to detect a treatment effect.
D)No. There is no advantage to using an analysis of variance rather than several t tests.

Question

When comparing more than two treatment means,should you use an analysis of variance rather than using several t tests,and if so,why?​
A)​Yes. Using several t tests increases the risk of a Type I error.
B)​Yes. Using several t tests increases the risk of a Type II error.
C)​Yes. The analysis of variance is more likely to detect a treatment effect.
D)​No. There is no advantage to using an analysis of variance rather than several t tests.

Quizplus · Accepted Answer

Using several t tests to compare more than two treatment means increases the risk of a Type I error, which is the incorrect rejection of a true null hypothesis. An analysis of variance (ANOVA) controls for this risk by comparing the means within a single framework, thus maintaining the overall Type I error rate at the desired level.

When Comparing More Than Two Treatment Means,should You Use an Analysis