Question

12. Suppose a 2 (gender) x 3 (handedness) ANOVA is conducted, with the dependent variable being the number of nuts that can be attached to bolts within a 60-second time limit. Suppose the mean scores are as follows: Right-handed males = 10.2 Right-handed females = 8.8 Left-handed males = 7.8 Left-handed females = 9.8 Ambidextrous males = 9.0 Ambidextrous females = 8.4

a. Draw the factorial ANOVA cells chart with the results included

b. What are the main effects means for handedness? Provide the numbers and describe the results in your own words.

c. What are the main effects means for gender? Provide the numbers and describe the results in your own words.

d. Graph the results

Answer 1

a)

	Handedness
Gender	Right	Left	Ambidextrous
Male	10.2	7.8	9
Female	8.8	9.8	8.4

b)

	Handedness
Gender	Right	Left	Ambidextrous
Male	10.2	7.8	9
Female	8.8	9.8	8.4
Main effect Mean	9.5	8.8	8.7

The main effect man for handedness is shown in the above table.

The mean difference between the Right and left = 9.5 - 8.8 =0.7

The mean difference between the Right and Ambidextrous  = 9.5 - 8.7 =0.8

The mean difference between the Left and Ambidextrous = 8.8 - 8.7 =0.1

The effect of Right-Ambidextrous can be significant as it has largest difference in means. similarly for Right and Ambidextrous also.

The effect of Left and Ambidextrous is not significant as its mean difference is less.

c)

	Handedness
Gender	Right	Left	Ambidextrous	Mean
Male	10.2	7.8	9	9
Female	8.8	9.8	8.4	9

The effect of Male and Female is not significant as its mean difference is zero.

d)

Main effects Gender Male Female

Main effects Right Left

Chart Title Left Ambidextrous