What is the dependent variable

Reference no: EM131504755

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):

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	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

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.

Reference no: EM131504755

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