In a study comparing 4 group means, the F-ratio is statistically significant.This means that:
A)There is a significant difference between each of the four group means.
B)There is a significant difference between at least two of the four groups.
C)The variation within each group is much larger than in results that are not significant.
D)None of these.

Question

Quizplus · Accepted Answer

A statistically significant F-ratio means that there is a significant difference between at least two of the group means. It does not necessarily mean that there is a significant difference between all four group means. Option C is incorrect because a significant F-ratio usually indicates that the variation between groups is greater than the variation within groups, not the other way around. Option A is incorrect because it goes beyond what the F-ratio can tell us.

In a Study Comparing 4 Group Means, the F-Ratio Is