In: Statistics and Probability
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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).
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| Marketing Managers | Marketing Research | Advertising | |
| 9 | 7 | 5 | |
| 8 | 7 | 6 | |
| 7 | 6 | 5 | |
| 8 | 6 | 4 | |
| 9 | 7 | 5 | |
| 7 | 6 | 5 | |
| Sum = | 48 | 39 | 30 |
| Average = | 8 | 6.5 | 5 |
| ∑Xij^2= | 388 | 255 | 152 |
| St. Dev. = | 0.894 | 0.548 | 0.632 |
| SS = | 4 | 1.5 | 2 |
| n = | 6 | 6 | 6 |


Reject H0 if LSD> Absolute Value and conculde there is significant difference
| Absolute Value | Conclusion | ||
| 1-2 | 1.5 | 1.5>0.87 | Significant difference |
| 1-3 | 3 | 3>0.87 | Significant difference |
| 2-3 | 1.5 | 1.5>0.87 | Significant difference |