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Problem set 1: Use the following data to answer questions 1-5 (30 points): A researcher is interested in whether there is a significant difference between
Problem set 1: Use the following data to answer questions 1-5 (30 points):
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, 10 pts).
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 |
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White |
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Other |
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| Sum up= |
- Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between (6 pts).
- If the F statistic calculated for these data is 8.49, what is the value of the mean square within n(4 pts)?
- 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 (6 pts).
- 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 (4 pts)?
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