Question

1. Two-Way Within-Subjects ANOVA

A hypothetical study investigated whether the tempo and scale of music can differentially enhance mood. Participants wore sound-canceling headphones through which four different types of music were played to each participant: music with a slow tempo-minor scale, fast tempo-minor scale, slow tempo-major scale, and fat tempo-major scale. After listening to each type of music, participants rated their change in mood on a scale from -3 (more negative mood) to +3 (more positive mood), with 0 representing no change in mood. The order in which music types were played was counterbalanced. The table below lists the data for this hypothetical within-subjects study. Test whether music tempo and scale influenced mood change at a .05 level of significance.

		Tempo
		Slow	Fast
Scale	Minor	1	2
		2	1
		-3	1
		0	0
		2	-2
		0	0
		-1	2
		0	1
	Major	0	2
		1	3
		1	3
		2	2
		-3	3
		0	3
		2	1
		-1	3

Based on the output given in SPSS, Complete the following F table:

Sources of Variation	SS	df	MS	F statistic	Sig. (p value)
Scale
Error (Scale)
Tempo
Error (Tempo)
Scale * Tempo
Error (Scale * Tempo)

Based on the value of the test statistics, what is the decision for the for each factor in the two-way within-subjects ANOVA (highlight one)

Scale: Not Significant Significant

Tempo: Not Significant Significant

Scale * Tempo Not Significant Significant

Write the statistics in APA format

Scale: ________________________

Tempo: ________________________

Scale * Tempo: ________________________

Answer 1

The SPSS output is:

Sources of Variation	SS	df	MS	F statistic	Sig. (p value)
Scale	8	1	8	4.129	0.052
Tempo	15.125	1	15.125	7.806	0.009
Scale * Tempo	6.125	1	6.125	3.161	0.086
Error	54.25	28	1.938

Scale: Not Significant

Tempo: Significant

Scale * Tempo Not Significant

There is no significant main effect of Scale. (F (1, 28) = 4.129, p = 0.052 > 0.05)

There is a significant main effect of Tempo. (F (1, 28) = 7.806, p = 0.009 > 0.05)

There is no significant interaction effect. (F (1, 28) = 3.161, p = 0.086 > 0.05)