A student is interested in whether gender interacts with the effects of mood on
ID: 2906512 • Letter: A
Question
A student is interested in whether gender interacts with the effects of mood on problem solving. The student induces mood by having participants (both males and females) write about a time when they felt a certain emotion. The emotions used are fear and happiness. The participants are randomly assigned to one of these emotion conditions. To check the manipulation, the student has participants rate their emotional state after the manipulation, on a 1-7 scale with 1 meaning highly negative and 7 meaning highly positive mood. The student then gives the participants a series of problems to solve, and records the number solved.
Men
(A1)
Women
(A2)
Fear
(B1)
5
6
7
7
5
4
5
4
2
1
2
2
3
2
1
1
Happy
(B2)
1
2
4
2
3
4
3
2
5
6
5
5
5
4
3
4
Men
(A1)
Women
(A2)
Fear
(B1)
=
=
=
Happy
(B2)
=
=
=
=
=
d. Is there a significant main effect for Sex? Describe the findings.
e. Is there a significant main effect for Emotion? Describe the findings.
f. Is there a significant interaction? Describe the interaction using the names and levels of each variable.
Men
(A1)
Women
(A2)
Fear
(B1)
5
6
7
7
5
4
5
4
2
1
2
2
3
2
1
1
Happy
(B2)
1
2
4
2
3
4
3
2
5
6
5
5
5
4
3
4
Explanation / Answer
There are two factors: Sex (A) and Emotion (B) and Sex has two levels: Man (A1), Woman (A2) and Emotion has two levels: Fear (B1) and Happy (B2). Under each level combination i.e. (Ai,Bj), there are 8 observations.
Two-way ANOVA:
Source DF SS MS F P
SEX 1 5.2813 5.2813 5.45 0.027
EMOTION 1 0.0313 0.0313 0.03 0.859
Interaction 1 63.2813 63.2813 65.32 0.000
Error 28 27.1250 0.9688
Total 31 95.7188
From the above ANOVA table we observe that p-value corresponding interaction is very low and it is less than 0.05, hence iteraction between Sex and emotion is significantly present. Thus it is meaningless to test whether the main effects are significant or not.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.