Fill in the following blanks. The following data are from an experiment designed

Question

Fill in the following blanks.

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 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 = .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 less than.01 What is your conclusion? Conclude the mean perception scores for the three groups are not all the same 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 Significant difference -3 Significant difference | No significant difference

Explanation / Answer

a) applying one way ANOVA on above:

sum of square treatments =21.00

sum of square; error =7.50

mean square treatments =10.50

mean square ; error =0.50

b)

test statistic =21.00

c) for 15 degree of freedom and 0.05 level critical t =2.1314

MSE =0.5 ; n=6

therefore fisher's LSD =t*(2*MSE/n)1/2 =0.87

x1bar-x2bar =2.5

x1bar-x3bar =2

x2bar-x3bar =0.5

Source of Variation SS df MS F P-value treatments 21 2 10.5 21 0.0000 error 7.5 15 0.5 Total 28.5 17

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