Question

In: Statistics and Probability

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
5 9 6
4 9 7
3 8 6
4 8 5
5 9 6
3 8 6

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  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
x1-x2 - Select your answer -No significant difference Significant difference
x1-x3 - Select your answer -No significant difference Significant difference
x2-x3 - Select your answer -No significant difference Significant difference

Solutions

Expert Solution

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):
Source SS df MS F
Between 61.0000 2 30.5000 61.0000
Within 7.5000 15 0.5000
Total 68.5000 17

a)

sum of sq;treatment= 61.00
sum of sq; error= 7.50
mean sq;treatment= 30.50
mean square; error= 0.50

b)

test statistic = 61.00
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 4.50 significant difference
x3-x1 2.00 significant difference
x3-x2 2.50 significant difference

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