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).
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Highest Degree
|
Y bar for each group
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Total mean
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Group mean - Total mean
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Square of the difference
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The number of cases
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Nk*Square of the difference
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Less than high school
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|
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High school
|
|
|
|
|
|
|
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Junior college
|
|
|
|
|
|
|
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Bachelor's degree
|
|
|
|
|
|
|
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Graduate degree
|
|
|
|
|
|
|
|
|
|
|
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Sum up=
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- 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 .