Detailed essay with full explanations of each section listed below
Analyzing with ANOVA
Submit your answers to 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 are the independent variables and their levels? What is the dependent variable?
- State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses?
- 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 |
PLEASE SEE THE ATTACHED ASSIGNMENT:
Please Note: The table that you see in the assignment has been slightly modified, since it is beyond the scope of this unit to have students calculate p values. Instead you are asked to calculate the F value and compare it to the critical F value to determine whether the test is significant or not.
