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# 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,

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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 Note: The table that you see in the assignment has been slightly modified from the one presented in the module notes 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.

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 interac±on? Also suggest alternate hypotheses? What are the degrees of freedom for 1) gender, 2) marital status, 3) interac±on between gender and marital status, and 4) error or within variance? Calculate the mean square for 1) gender, 2) marital status, 3) interac±on between gender and marital status, and 4) error or within variance. Calculate the F ra±o for 1) gender, 2) marital status, and 3) interac±on between gender and marital status. Iden±fy the cri±cal Fs at alpha = .05 for 1) gender, 2) marital status, and 3) interac±on 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 Note: The table that you see in the assignment has been slightly modi²ed from the one presented in the module notes 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 cri±cal F value to determine whether the test is signi²cant or not.

Kindly find the attached solution for the... View the full answer

(1) Independent variables are Gender, Marital Status
Dependent variable is Happiness score
(2) Ho: There is no difference between Happiness scores for Gender and there is no difference between...

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