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).
|
Applying one way ANOVA: (use excel: data: data analysis: one way ANOVA: select Array): |
Source | SS | df | MS | F | P value |
Between | 21.00 | 2 | 10.500 | 21.0000 | 0.000 |
Within | 7.50 | 15 | 0.5000 | ||
Total | 28.50 | 17 |
a)
sum of sq;treatment= | 21.00 |
sum of sq; error= | 7.50 |
mean sq;treatment= | 10.50 |
mean square; error= | 0.50 |
b)
test statistic = | 21.00 |
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 | 0.50 | not significant difference |
x3-x1 | 2.00 | significant difference |
x3-x2 | 2.50 | significant difference |
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 6 10 6 5 10 7 4 9 6 5 9 5 6 10 6 4 9 6 Compute the values identified below (to 1 decimal, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment...
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