Problem Sets In ANOVA Essay

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There was also a main effect of brand on brand popularity for women, with means of 25 and 12 for brands X and Y respectively. D. What are the main effect means and thus the main effect of changing gender?

The main effect of gender (factor B) on brand popularity was revealed by the brand X means 14 and 25 for males and females, respectively. The main effect of gender was also revealed by the brand Y means 23 and 12 for males and females, respectively.

E. Why will a significant interaction prohibit you from making conclusions based on the main effects?

A significant interaction does not provide any information about the magnitude of the main effects, which could vary from a few percent to over 90%. Therefore, the main effect could be weak and not worthy of publication or further analysis.

Question 5

You conduct an experiment involving two levels of self-confidence ( A1 is low and A2 is high) and examine participants' anxiety scores after they speak to one of four groups of differing sizes ( B1 through B4 represent speaking to a small, medium, large, or extremely large group, respectively). You compute the following sums of squares (n = 4 and N = 32):

Source

Sum of Squares

df

Mean Square

F

Between

Factor A

8.42

1

8.42

...

Complete the ANOVA summary table.
The independent variables are self-confidence (factor A) and group size (factor B), while the dependent variable is anxiety scores.

a = levels of self-confidence = 2

c = audience sizes = 4

ac = cells in experiment = 8

N = total number anxiety scores = 32

n = number of anxiety scores per cell = 4

dfa = a -- 1 = 2 -- 1 = 1

dfc = c -- 1 = 4 -- 1 = 3

dfac = (a -- 1)(c -- 1) = 1*3 = 3

dfwithin = N -- ac = 32 -- 3 = 29

dftot = N -- 1 = 31

MSa = SSa/dfa = 8.42/1 = 8.42

MSc = SSc/dfc = 76.79/3 = 25.60

MSac = SSac/dfac = 23.71/3 = 7.90

MSwithin = SSwithin/dfwithin = 110.72/29 = 3.82

MStot = SStot/dftot = 219.64/31 = 7.09

Fa = MSa/MSwithin = 8.42/3.82 = 2.20

Fc = MSc/MSwithin = 25.60/3.82 = 6.70

Fac = MSac/MSwithin = 7.90/3.82 = 2.07

B. With a ? = .05, what do you conclude about each Fobt?

From the F.…

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