Question

The following data are from an experiment designed to investigate the perception of corporate ethical values...

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
8 5 8
7 5 9
6 4 8
7 4 7
8 5 8
6 4 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 0.05 to test for a significant difference in perception among the three groups.

Calculate the value of the test statistic (to 2 decimals).

c. Using 0.05, 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

X1-X2

X1-X3

X2-X3

Homework Answers

Answer #1
Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):
Source SS df MS F P value
treatment 39.00 2 19.50 39.000 0.0000
error 7.50 15 0.50
Total 46.50 17

a)

sum of sq;treatment= 39.00
sum of sq; error= 7.50
mean sq;treatment= 19.50
mean square; error= 0.50

b)

test statistic = 39.00
p value is less than 0.01
Conclude the treatment mean for the three groups are not all the same

c)

critical value of t with 0.05 level and N-k=15 degree of freedom= tN-k= 2.131
Fisher's (LSD) for group i and j =(tN-k)*(sp*√(1/ni+1/nj)   = 0.87
Difference Absolute Value Conclusion
x1-x2 2.50 significant difference
x1-x3 1.00 not significant difference
x2-x3 3.50 significant difference
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