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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 is/are the independent variable(s)? What is/are the
dependent variable(s)?
b.
What would be an appropriate null hypothesis? Alternate
hypothesis?
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

?

?

?

?

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.

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