Question

In computing his ANOVA table, the investigator finds that his MS within groups is larger than his MS between groups. What does this result indicate?

1) There is a significant difference in retention among the study groups
2) There is no significant difference in retention among the study groups
3) The sample size is too small to draw any conclusions
4) The experiment was conducted incorrectly

Answer 1

The result indicates that there is no significant difference in retention among the study groups.

Step-by-step explanation:

The result indicates that there is no significant difference in retention among the study groups.

In ANOVA, the MS within groups measures the amount of variability within each group, while the MS between groups measures the amount of variability between the group means.

If the MS within groups is larger than the MS between groups, it suggests that the differences in retention among the study groups are likely due to chance or random variability, rather than a true difference. Therefore, there is no significant difference in retention among the study groups.