# ANOVA_Gender

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):

a. What are the independent variables and their levels? What is the dependent variable?

b. State all null hypotheses associated with independent variables and their interaction? Also suggest alternate hypotheses?

c. 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?

d. Calculate the mean square for 1) gender, 2) marital status, 3) interaction between gender and marital status, and 4) error or within variance.

e. Calculate the F ratio for 1) gender, 2) marital status, and 3) interaction between gender and marital status.

f. Identify the critical Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interaction between gender and marital status.

g. 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 1 68.15 7.407 3.9423
Marital Status 127.37 2 63.685 6.922 3.0933
Gender * Marital Status (A x B) 41.90 2 20.95 2.277 3.0933
Error (Within) 864.82 94 9.20 NA NA
Total 1102.24 99 NA NA NA

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