In: Statistics and Probability
The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals who are in marketing. Three groups are considered: management, research and advertising (higher scores indicate higher ethical values).
Marketing Managers | Marketing Research | Advertising |
8 | 7 | 10 |
7 | 7 | 11 |
6 | 6 | 10 |
7 | 6 | 9 |
8 | 7 | 10 |
6 | 6 | 10 |
a. Compute the values identified below (to 2 decimal, if necessary).
Sum of Squares, Treatment | = |
Sum of Squares, Error | = |
Mean Squares, Treatment | = |
Mean Squares, Error | = |
b. Use to test for a significant difference in perception among the three groups.
Calculate the value of the test statistic (to 2 decimals). =
c. Using , determine where differences between the mean perception scores occur.
Calculate Fisher's LSD value (to 2 decimals).
Test whether there is a significant difference between the means for marketing managers (1), marketing research specialists (2), and advertising specialists (3).
Difference | Absolute Value | Conclusion |
- Select your answer | ||
- Select your answer | ||
- Select your answer |
I am using Excel
Data > Data analysis > Anova single factor > select the data > ok
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
Marketing Managers | 6 | 42 | 7 | 0.8 | ||
Marketing Research | 6 | 39 | 6.5 | 0.3 | ||
Advertising | 6 | 60 | 10 | 0.4 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 43 | 2 | 21.5 | 43 | 6.14E-07 | 3.682 |
Within Groups | 7.5 | 15 | 0.5 | |||
Total | 50.5 | 17 |
Sum of Squares, Treatment | =43.00 |
Sum of Squares, Error | =7.50 |
Mean Squares, Treatment | =21.5 |
Mean Squares, Error | = 0.5 |
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b) Test - stats = 43.00
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