Question

1) The eta squared value for the main effect of Varenicline given to participants (a drug to help stop smoking) was η²=.47 for the number of people who had side effects from the drug. Write this result out in sentence format.

2) Why are the results considered partial when referring to the eta square (η²) for the factorial ANOVA?

3) A behavioral economics psychologist wanted to see what factors were important when a person selects speakers. The tested price of speakers (of low and high) and sound amplitude (soft and loud), as some research shows the louder speakers sound better to people. He asked participants to rate the sound quality of the speakers they listened to from 0-10, with a score of 10 being the highest quality. Write the hypothesis (in words), perform the ANOVA and include the partial eta squared calculations in your APA write up of the results of the following data.
Test at an alpha level of α=.05.

		Factor B
		low	high
	soft	0	4
		1	6
		4	5
		3	4
		2	3
	Mean	2	4.4	N=20
	SS	10	5.2	G=104
Factor A	Total	10	22	∑x2=682
	loud	8	8
		6	5
		9	5
		5	9
		10	7
	Mean	7.6	6.8
	SS	17.2	12.8
	Total	38	34

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Answer 1

1. There is a medium effect of Varenicline given to participants.

2. Partial η2 is calculated by SSbetween/(SSbetween-SSerror). Essentially the partial η2 partials out the effects of other IV and interactions but, it's interpretation is less clear than η2.

3. There is a main effect of Factor A.

There is no main effect of Factor B.

There is an interaction effect.

Source	SS	df	MS	F	p-value	partial n²
Factor 1	80.00	1	80.000	28.32	.0001	2.299
Factor 2	3.20	1	3.200	1.13	.3030	0.076
Interaction	12.80	1	12.800	4.53	.0492	0.395
Error	45.20	16	2.825
Total	141.20	19