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 10 8 8 9 8 9 8 7 8 9 7 7 10 8 8 8 7 8 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 a=.05 to test for a significant difference in perception among the three groups. Calculate the value of the test statistic (to 2 decimals). c. Using a=.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 overline x1 - overline x2 overline x1 - overline x3 overline x2 - overline x3
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 |
| 10 | 8 | 8 |
| 9 | 8 | 9 |
| 8 | 7 | 8 |
| 9 | 7 | 7 |
| 10 | 8 | 8 |
| 8 | 7 | 8 |
a. Compute the values identified below (to 2 decimal, if necessary).
| Sum of Squares, Treatment | |
| Sum of Squares, Error | |
| Mean Squares, Error |
b. Use a=.05 to test for a significant difference in perception among the three groups.
Calculate the value of the test statistic (to 2 decimals).
c. Using a=.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 |
| overline x1 - overline x2 | ||
| overline x1 - overline x3 | ||
| overline x2 - overline x3 |
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