A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups . Based on the data below, answer these questions.
|
Race |
N |
Mean |
|
Black |
113 |
25.39 |
|
White |
904 |
22.99 |
|
Other |
144 |
23.87 |
|
All Groups |
1,161 |
23.33 |
- Calculate the value of the between group sum of squares (SSB).
|
Race |
Y bar for each group |
Total mean |
Group mean – Total mean |
Square of the difference |
The number of cases |
Nk*Square of the difference |
|
Black |
||||||
|
White |
||||||
|
Other |
||||||
|
Sum up= |
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 calculated for these data is 8.49, what is the value of the mean square within n?
- Following answer of #3, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares.
Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. If the critical value for an F statistic of 8.49 is 2.99, are these results statistically significant or not
