Homework SourseIn a pilot study examining the effectiveness of three commer
In a pilot study examining the effectiveness of three commercials (A, B, and C), 10 consumers were assigned to view each commercial and rate it on a 9-point Likert scale. The data obtained are shown in the following table. These data should be analyzed by doing hand calculations (i.e., without using the computer).
A
B
C
4
7
8
5
4
7
3
6
7
4
5
6
3
4
8
4
6
7
4
5
8
3
5
8
5
4
5
5
4
6
a. Calculate the category means and the grand mean.
b. Calculate SSy, SSx, and SSerror.
c. Calculate 2.
d. Calculate the value of F.
e. Are the three commercials equally effective?
| A | B | C |
| 4 | 7 | 8 |
| 5 | 4 | 7 |
| 3 | 6 | 7 |
| 4 | 5 | 6 |
| 3 | 4 | 8 |
| 4 | 6 | 7 |
| 4 | 5 | 8 |
| 3 | 5 | 8 |
| 5 | 4 | 5 |
| 5 | 4 | 6 |
Solution
Prepare anova table from the sample
H0: All three commercials are equally effective
Ha: All three commercials are not equally effective
As p value =0.0000 < 0.01, reject null hypothesis.
There is statistical evidence to show that All three commercials are not equally effective
