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 Majors	Marketing Research	Advertising
5	8	10
4	8	11
3	7	10
4	7	9
5	8	10
3	7	10

a. calculate the values below

sum of squares treatment
sum of squares error
mean of squares treatment
mean squares error

b. use .05 to test for a significant difference in perception among these groups.

Calculate the value of the test statistic

c. using .05, determine where differences between the mean perception scores occur.

Calculate Fisher's LSD Value

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
treatment	109.0000	2	54.50	109.0000	0.0000
error	7.5000	15	0.50
Total	116.5000	17

a)

sum of sq;treatment=	109.00
sum of sq; error=	7.50
mean sq;treatment=	54.50
mean square; error=	0.50

b)

test statistic =	109.00
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	3.50	significant difference
x1-x3	6.00	significant difference
x2-x3	2.50	significant difference