Question

In general, what factors are most likely to reject the null hypothesis for an ANOVA?

A) Decreased variability within groups
B) Increased variability between groups
C) Decreased sample size
D) Decreased variability between groups

Answer 1

Increased variability between groups and decreased variability within groups are the factors most likely to reject the null hypothesis in an ANOVA test. Hence the correct answer is option A and B

Step-by-step explanation:

The factors that are most likely to reject the null hypothesis for an ANOVA are:

• Increased variability between groups: When there is a large difference in the means of the groups being compared, it indicates that the groups are not drawn from the same population and the null hypothesis can be rejected.
• Decreased variability within groups: If the data within each group is very similar and there is little variation, it suggests that the groups are drawn from the same population and the null hypothesis cannot be rejected.

Therefore, options B (Increased variability between groups) and A (Decreased variability within groups) are the factors most likely to reject the null hypothesis.

Hence the correct answer is option A and B