For Exercises 15.1 to 15.3, see pages 15-6 to 15-7; for 15.4 to 15.6, see page 15-10; for 15.7, see pages 15-12 to 15-13; for 15.8 to 15.10, see page 15-15; for 15.11, see page 15-16; for 15.12 and 15.13, see page 15-18; and for 15.14 to 15.16, see pages 15-20 to 15-21.

Question 15.18

15.18 How large does the statistic need to be?

For each of the following situations, state how large the statistic needs to be for rejection of the null hypothesis at the 5% level. Sketch each distribution and indicate the region where you would reject.

  1. The main effect for the first factor in a ANOVA with three observations per cell.
  2. The interaction in a ANOVA with five observations per cell.
  3. The interaction in a ANOVA with six observations per cell.