Calculate the value of the between group sum of squares

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Reference no: EM13879137

Problem set 3: Use the following data to answer questions 11-15 (20 points):

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. Use the data in the accompanying table to calculate question 11 to 15.

Highest Degree

N

Mean

Less than high school

195

22.47

High school

590

22.87

Junior college

86

23.71

Bachelor's degree

185

24.58

Graduate degree

104

25.10

All Groups

1,161

23.33

 

  • Answer the blanks in the worksheet (8 pts).

Highest Degree

Y bar for each group

Total mean

Group mean - Total mean

Square of the difference

The number of cases

Nk*Square of the difference

Less than high school

 

 

 

 

 

 

High school

 

 

 

 

 

 

Junior college

 

 

 

 

 

 

Bachelor's degree

 

 

 

 

 

 

Graduate degree

 

 

 

 

 

 

 

 

 

 

 

 

Sum up=

 

  • Calculate the value of the between group sum of squares 
  • Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between ).
  • If the F statistic is 6.10, use the data below to determine the value of the mean square within .
  • If the value of the mean square within for these data is 36.87, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares .

Reference no: EM13879137

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