Answers the following questions using the ANOVA source table below. 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
|