Chapter 12, Problem 20SP

You measure the dependent variable of participants’ relaxation level as a function of whether they meditated before being tested, and whether they were shown a film containing a low, medium, or high amount of fantasy. Here are the data and the ANOVA.

		Amount of Fantasy
	Low	Medium	High
Mediation	5	7	9
		6	5	8
		2	6	10
		2	9	10
		5	5	10
No Mediation	10	2	5
		10	5	6
		9	4	5
		10	3	7
	10	2	6

Source	Sum of Squares	$df$	Mean Square	$F$
A: Fantasy	42.467	2	21.233	13.134
B: Mediation	.833	1	.833	.515
$\text{A}\times \text{B}$: Interaction	141.267	2	70.633	43.691
Within	38.800	24	1.617
Total	223.367	29

(a) Which effects are significant? (b) Compute the main effect means and the interaction means. (c) Perform the Tukey HSD test where appropriate. (d) What do you conclude about the relationship(s) this study demonstrates? (e) Evaluate the impact of each effect.