Alex is writing the null and alternative hypotheses for a one-way between-subjects ANOVA for a factor with 4 levels. He writes his null hypothesis as H0 : u1 = u2 = u3 = u4. (i) Is this the correct null hypothesis? Write yes or no: (ii) Why or why not? Write the letter of your answer:
1) This hypothesis indicates that all levels of the factor are different, but what a one-way ANOVA is really testing is whether at least two of the levels are different.
2) The correct hypothesis would be that not all of the means (u's) are equal.
3) A statement of no effect (the null hypothesis) for a one-way ANOVA is that none of the levels of the factor are statistically different.
4) This is the correct alternative hypothesis.
