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 15.17

15.17 Describing a two-way ANOVA.

A ANOVA was run with six observations per cell.

  1. Give the degrees of freedom for the statistic that is used to test for interaction in this analysis and the entries from Table E that correspond to this distribution.
  2. Sketch a picture of this distribution with the information from Table E included.
  3. The calculated value of the statistic is 2.68. What is the -value?
  4. Would you expect a plot of the means to look parallel? Explain your answer.

15.17

(a) (c)

0.100 2.23
0.050 2.84
0.025 3.46
0.010 4.31
0.001 6.59

(d) The plot would be roughly parallel because the interaction is only marginally significant.