# Conducting and analyzing statistical tests

**Question description**

Assignment 2: **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_{obt.} | F_{crit.} |

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 |

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