In an analysis of variance, if the within-group variance estimate is about the same as the between-group variance estimate, then:
A)the null hypothesis should be rejected
B)any difference between sample means is probably due to random sampling
C)an error in the figuring was made, because a within-group variance estimate must always be smaller than the between-group variance estimate
D)any difference between sample means is probably due to a real difference caused by the experimental conditions

Question

Quizplus · Accepted Answer

If the within-group variance estimate is similar to the between-group variance estimate, then it suggests that any differences between sample means are likely due to random sampling variability rather than a true difference caused by the experimental conditions. Therefore, the null hypothesis should not be rejected, and it is likely that any observed differences between groups are not statistically significant.

In an Analysis of Variance, If the Within-Group Variance Estimate