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
4	7	7
3	7	8
2	6	7
3	6	6
4	7	7
2	6	7

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 a=.05 to test for a significant difference in perception among the three groups.

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

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

Answer 1

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

Source	SS	df	MS	F	P value
Between	57.00	2	28.500	57.0000	0.000
Within	7.50	15	0.5000
Total	64.50	17

a)

sum of sq;treatment=	57.00
sum of sq; error=	7.50
mean sq;treatment=	28.50
mean square; error=	0.50

b)

test statistic =	57.00
p value is less than 0.01
Conclude the treatment mean for the three groups are not all the same

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	3.50	significant difference
x3-x1	4.00	significant difference
x3-x2	0.50	not significant difference