Question

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 7 5 10 6 5 11 5 4 10 6 4 9 7 5 10 5 4 10 a. Compute the values identified below (to 2 decimals, 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). The -value is What is your conclusion? c. Using, 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

Answer 1

Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array):

Source	SS	df	MS	F	P value
Between	97.00	2	48.500	97.000	0.000
Within	7.50	15	0.5000
Total	104.50	17

a)

sum of sq;treatment=	97.00
sum of sq; error=	7.50
mean sq;treatment=	48.50
mean square; error=	0.50

b)

test statistic =	97.00
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	1.50	significant difference
x3-x1	4.00	significant difference
x3-x2	5.50	significant difference