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 4 3 2 3 4 2
Marketing Research 6 6 5 5 6 5
Advertising 9 10 9 8 9 9
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 alpha=.05 to test for a significant difference in perception among three groups. Calculate the value of the test statistic (2 decimals).
c. Using alpha=.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).
a)
sum of square; treatment= | 109.00 |
sum of square; error= | 7.50 |
mean square; treatment= | 54.50 |
mean square; error= | 0.50 |
b)
test statistic = | 109.00 |
c)
Fisher's (LSD) for group i and j = (tN-k)*(sp*√(1/ni+1/nj) = | 0.87 |
(try 0.86 if this comes wrong)
Difference | Absolute Value | Conclusion |
x1-x2 | 2.50 | significant difference |
x1-x3 | 6.00 | significant difference |
x2-x3 | 3.50 | significant difference |