You are consulting for an advertising agency and trying to determine if three of your target markets (A, B, and C) differ in their responses to various degrees of humor in the advertising to which they are exposed. To test this 27 customers are selected, nine from each target market, and subjected to advertising containing various degrees of humor. All of the ads advertised the same product regardless of the degree of humor. The satisfaction scores were measured on a carefully constructed 10 point scale (10 being the highest satisfaction score) that was deemed to be interval in nature. The following results occurred.
d.What assumptions were necessary to conduct this factorial design?
e.How should the customers have been assigned to the various experimental conditions?
Target Markets |
No Humor in Ad |
Some Humor in Ad |
Very Humorous Ad |
Target market A |
4 4 6 |
7 6 6 |
5 5 4 |
Target market B |
3 4 4 |
7 6 7 |
7 9 9 |
Target Market C |
5 6 6 |
7 8 8 |
6 6 6 |
You are consulting for an advertising agency and trying to determine if three of your target markets (A, B, and C) differ in their responses to various degrees of humor in the advertising to which they are exposed. To test this 27 customers are selected, nine from each target market, and subjected to advertising containing various degrees of humor. All of the ads advertised the same product regardless of the degree of humor. The satisfaction scores were measured on a carefully constructed 10 point scale (10 being the highest satisfaction score) that was deemed to be interval in nature. The following results occurred.
Target Markets |
No Humor in Ad |
Some Humor in Ad |
Very Humorous Ad |
Target market A
|
4 4 6 |
7 6 6 |
5 5 4 |
Target market B |
3 4 4 |
7 6 7 |
7 9 9 |
Target Market C |
5 6 6 |
7 8 8 |
6 6 6 |
a.Set up hypotheses to determine whether or not the factors: target markets and degree of humor produce different mean satisfaction scores.
b.Perform the appropriate statistical tests to test your hypotheses.
c.Fully explain all the results you have obtained.
d.What assumptions were necessary to conduct this factorial design?
e.How should the customers have been assigned to the various experimental conditions?
Target Markets |
No Humor in Ad |
Some Humor in Ad |
Very Humorous Ad |
Target market A
|
4 4 6 |
7 6 6 |
5 5 4 |
Target market B |
3 4 4 |
7 6 7 |
7 9 9 |
Target Market C |
5 6 6 |
7 8 8 |
6 6 6 |
Target Markets |
No Humor in Ad |
Some Humor in Ad |
Very Humorous Ad |
Target market A
|
4 4 6 |
7 6 6 |
5 5 4 |
Target market B |
3 4 4 |
7 6 7 |
7 9 9 |
Target Market C |
5 6 6 |
7 8 8 |
6 6 6 |
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