Which of the following statements about ANOVA are true? Select all that apply.

a.
The similar variabilility condition (also called the "constant variance condition") can be somewhat relaxed when the sample sizes are relatively consistent across groups.

b.
If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then the variability between groups is higher than the variability within groups.

c.
The independence assumption can be relaxed when the total sample size is large.

d.
If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then the appropriate significance level to be used in post hoc pairwise comparisons is 0.05 / 4 = 0.0125 since there are four groups.

e.
If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then we can conclude that all the means are different from one another.

f.
If the null hypothesis that the means of four groups are all the same is rejected using ANOVA at a 5% significance level, then the pairwise analysis will definitely identify at least one pair of means that are significantly different.

g.
As the number of groups being compared increases, the corrected significance level for post hoc pairwise tests also increases.

h.
As the total sample size increases, the degrees of freedom for the residuals (dfE) increases as well.