A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among the recent graduates from nursing,engineering,business and education disciplines.She has randomly selected four graduates from each of the four areas. If MSE = 4,and SSTO = 120 complete the following ANOVA table and determine the value of the F statistic.
A)F = 8
B)F = 4
C)F = 6
D)F = 5

Question

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among the recent graduates from nursing,engineering,business and education disciplines.She has randomly selected four graduates from each of the four areas. If MSE = 4,and SSTO = 120 complete the following ANOVA table and determine the value of the F statistic. 
A)F = 8 
B)F = 4 
C)F = 6 
D)F = 5

Quizplus · Accepted Answer

The ANOVA table would look like this:

Source of Variation | SS | df | MS | F
-------------------|----|----|----|--
Between Groups     | 84 | 3  | 28 | 6  
Within Groups      | 36 | 12 | 3  |    
Total              |120 | 15 |    |

To calculate the F-statistic, we divide the MS for Between Groups by the MS for Within Groups:

F = MSBetween / MSWithin 
  = 28 / 3 
  = 6

Therefore, the value of the F statistic is 6. Choice C is the correct answer.

A Researcher Has Used a One-Way Analysis of Variance Model