Question

You were comparing four treatments in a one-way ANOVA (or simply ANOVA in our class) and obtained a significant test statistic. How would you interpret the alternative hypothesis HA in words? justify your answer

a)At least two treatments are different from each other in terms of their effect on the mean response.

b)All of the above.

c)None of the above.

d)Exactly two of the four treatments have the same effect on the mean response.

e)All four treatments have different effects on the mean response.

Answer 1

Answer

In case of ANOVA, our null hypothesis is always that the mean for all groups are equal or we can say that there is no significant difference between the means for all groups

And alternate hypothesis is always that at least one pair of groups has significant difference between their means.

Therefore, correct statement for alternate hypothesis with 4 treatments will be option A

(A) At least two treatments are different from each other in terms of their effect on the mean response