A researcher is investigating the effects of emotion and gender on cooperation. He randomly assigns participants...

A researcher is investigating the effects of emotion and gender on cooperation. He randomly assigns participants to one of three conditions: control, guilt, happiness
After inducing one of the three emotions, the researcher measures each participant's level of cooperation in a game, on a scale from 1 to 10.

Men:
Control: 5 4 7 4 3 5 5 6
Guilt: 6 9 7 8 6 7 7 8
Happiness: 8 7 8 9 9 6 8 9

Women:
Control: 6 3 5 5 4 7 6 3
Guilt: 3 7 7 4 8 5 4 6
Happiness: 7 6 9 9 7 8 9 8

What statistical test should we do here? Report the results.

Solutions

Expert Solution

We will use Anova: Two-Factor With Replication:

SUMMARY	CONTROL	GUILT	HAPPINESS	Total
Men
Count	8	8	8	24
Sum	39	58	64	161
Average	4.875	7.25	8	6.708333
Variance	1.553571	1.071429	1.142857	2.998188

WOMEN
Count	8	8	8	24
Sum	39	44	63	146
Average	4.875	5.5	7.875	6.083333
Variance	2.125	3.142857	1.267857	3.731884

Total
Count	16	16	16
Sum	78	102	127
Average	4.875	6.375	7.9375
Variance	1.716667	2.783333	1.129167

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Gender	4.6875	1	4.6875	2.729636	0.10596	4.072654
Emotion	75.04167	2	37.52083	21.84922	0.00000	3.219942
Interaction	7.625	2	3.8125	2.220104	0.121187	3.219942
Within	72.125	42	1.717262

Test is significant for main effect of emotion ans score are different for each emotion. But not significant for Men and Women and hence not different across Men and Women.

THANKS

revert back for doubt

please upvote

orchestra answered 1 year ago

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