The table depicts a two-way ANOVA in which gender has two groups (male and female), marital status has three groups (married, single never married, divorced), and the means refer to happiness scores (n = 100):
- What is/are the independent variable(s)? What is/are the dependent variable(s)?
- What would be an appropriate null hypothesis? Alternate hypothesis?
- What are the degrees of freedom for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance?
- Calculate the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.
- Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
- Identify the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.
- If alpha is set at .05, what conclusions can you make?
Source |
Sum of Squares |
(degrees of freedom [df]) |
Mean Square |
Fobt. |
Fcrit. |
Gender |
68.15 |
? |
? |
? |
? |
Marital Status |
127.37 |
? |
? |
? |
? |
Gender * Marital Status (A x B) |
41.90 |
? |
? |
? |
? |
Error (Within) |
864.82 |
? |
? |
NA |
NA |
Total |
1102.24 |
99 |
NA |
NA |
NA |