Posted: July 26th, 2023

**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 |
F |
F |

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.**

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