Question

Question 1 A researcher interested in the effects of alcohol on fine motor control randomly assigned 12 participants to one of three groups. Participants consumed either 0, 5, or 15 ounces of alcohol. They traced a star while looking at the image of the star in a mirror. The researcher counted the number of errors each participant made while performing the mirror image tracing task. Conduct a one-way ANOVA on the following data to determine if alcohol affected performance. You need to first determine whether the experiment was an independent-measures, correlated-measures, or a mixed-measures design.

0 Ounces- 5 1 0 2 5 ,

5 Ounces- 8 9 12 10 ,

15 ounces- 15 18 11 13

Question 2 A social psychologist compared the effects of different types of pick-up lines (Direct: "Hi my name is Taylor, what is yours?" versus Sexual: "I might not be Fred Flintstone, but I can make your bed rock") on participants ratings of how likelihood they'd date someone using that line using a 5 point scale (1 very unlikely to 5 very likely). Participants were exposed to one of two types of lines given by either an attractive or unattractive person. Note: this was a completely independent groups design so the five scores in each group below represent 5 participants. The ratings given by participants in each condition are shown below:

Attractive- Direct Line 5 4 5 5 4

Sexual Line 3 4 4 5 4

Unattractive- Direct Line 3 2 3 3 1

Sexual Line 1 1 2 3 1

Conduct a two-way ANOVA on these data and write your result up in APA style.

Answer 1

Answer 1:

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃

H_a: Not all means are equal

	Mean	n	Std. Dev
	5.5	4	3.32	Group 1
	9.8	4	1.71	Group 2
	14.3	4	2.99	Group 3
	9.8	12	4.49	Total
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	153.17	2	76.583	10.06	.0051
Error	68.50	9	7.611
Total	221.67	11

The p-value is 0.0051.

Since the p-value (0.0051) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that not all means are equal.

Answer 2:

		Factor 2
	Means:
		Direct Line	Sexual Line
	Attractive	4.6	4.0	4.3
Factor 1	Unattractive	2.4	1.6	2.0
		3.5	2.8	3.2
	5	replications per cell
ANOVA table
Source	SS	df	MS	F	p-value
Factor 1	26.45	1	26.450	44.08	5.69E-06
Factor 2	2.45	1	2.450	4.08	.0604
Interaction	0.05	1	0.050	0.08	.7765
Error	9.60	16	0.600
Total	38.55	19

There is a main effect of attractiveness. (F (1, 16) = 44.08, p = 0.000)

There is no main effect of pick-up lines. (F (1, 16) = 4.08, p = 0.0604)

There is no interaction effect. (F (1, 16) = 0.08, p = 0.7765)