ANOVA Two-Way Between Subjects Factorial Design

1.Among other benefits, pets are thought to be great companions that increase satisfaction among pet owners, especially those who would otherwise live alone. A psychologist decides to test this notion. Participants who live with others or alone (Factor A: living status) and own pets or do not (Factor B: pet owner status) were asked to indicate how satisfied they were with their living arrangements. It was expected that pet owners would report greater overall satisfaction than those who did not have pets. The hypothetical results are given in the following table.

Pet Owner

Yes

No

Live Alone

Yes

7

6

7

6

3

4

5

5

No

6

6

7

5

4

2

5

7

a.(1 pt) Hypotheses:

b.(3 pt) F_crit/threshold for each test (2 main effects and the interaction):

c.(8 pts) Fill in:

Source of Variation

SS

df

MS

F_obt

Factor A

Factor B

A X B

Error (within groups)

Total

d.(3 pt) Conclusion (reject or fail to reject for each effect):