In a one-way ANOVA, which of the following is true?
A) The degrees of freedom associated with the between sum of squares is equal to one less than the number of populations.
B) The critical value will be an F-value from the F distribution.
C) If the null hypothesis is rejected, it may still be possible that two or more of the population means are equal.
D) All of the above

Question

Quizplus · Accepted Answer

All the statements are correct regarding a one-way ANOVA. A) The degrees of freedom for the between-group variation is indeed one less than the number of groups. B) The test statistic for ANOVA is an F-value, which is compared against critical values from the F distribution. C) Rejecting the null hypothesis (that all group means are equal) does not specify which means are different, only that at least one is, so some groups could still have equal means.

In a One-Way ANOVA, Which of the Following Is True