13.5 What’s wrong? In each of the following, identify what is wrong and then either explain why it is wrong or change the wording of the statement to make it true.

  1. (a) You should reject the null hypothesis that there is no interaction in a two-way ANOVA when the AB F statistic is small.

  2. (b) Sums of squares are equal to mean squares divided by degrees of freedom.

  3. (c) The test statistics for the main effects in a two-way ANOVA have a chi-square distribution when the null hypothesis is true.

  4. (d) The sums of squares always add in two-way ANOVA.