In the context of ANOVA, which of the following conditions implies that the chances of the differences being statistically significant are greater?
A) When the variance within groups is zero
B) When the variance across groups is very low, while the variance within groups is very high
C) When the variance across groups is the same as that within groups
D) When the variance across groups is significantly higher compared to that within groups
E) When the variance across groups is a negative integer and the variance within groups is a positive integer

Question

Quizplus · Accepted Answer

The higher the variance across groups compared to that within groups, the greater the chances of the differences being statistically significant. This is because if there is a large difference between the groups, it will be more apparent if there is less variability within each group compared to the variability between the groups.

In the Context of ANOVA, Which of the Following Conditions