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 4 9 8 3 9 9 2 8 8 3 8 7 4 9 8 2 8 8 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Use = .05 to test for a significant difference in perception among the three groups. Calculate the value of the test statistic (to 2 decimals). The p-value is What is your conclusion? Using = .05, 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 1 - 2 1 - 3 2 - 3
H0: There is no significance difference among the means of three groups
H1; There is significance difference among the means of three groups
Let the los be alpha = 5%
From the given data
1 | 2 | 3 | 4 | 5 | 6 | |||
Total | Ti^2/ni | |||||||
Managers | 4 | 3 | 2 | 3 | 4 | 2 | 18 | 54 |
Research | 9 | 9 | 8 | 8 | 9 | 8 | 51 | 433.5 |
Advertising | 8 | 9 | 8 | 7 | 8 | 8 | 48 | 384 |
Total G | 117 | 871.5 |
Here P-value < alpha 0.05 so we reject H0
Thus we conclude that there is significance difference among the means of three groups
Fisher's LSD Test:
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