You are investigating the effectiveness of different types of interventions for

Question

You are investigating the effectiveness of different types of interventions for treatingdepression. You have three conditions, each with 5 randomly-assigned participants. In thefirst condition, participants receive psychoanalytic therapy for 3 hours a week. In the secondcondition, participants spend 3 hours a week engaged in a social activity with close friends.In the third condition, participants spend three hours a week exercising vigorously. After amonth, everyone competes a standardized depression inventory which gives a depressionscore (higher = more depressed). The values below shows the raw scores from each participant. Conduct a hypothesis test to determine if there are any significant differences between the treatment conditions.

Therapy: 10, 11, 13, 9, 8

Social: 14, 13, 11, 9, 7

Exercise: 6, 5, 7, 3, 2

Explanation / Answer

we get excel output as :

H0 : There are no any significant differences between the treatment conditions.

H1 : There are any significant differences between the treatment conditions.

Here calculated value of F = 10.8272

The critical value of F = 3.8853

Here calculated value of F > critical value of F

Hence we reject null hypothesis.

Conclusion : There are any significant differences between the treatment conditions.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Therapy 5 51 10.2 3.7 Social 5 54 10.8 8.2 Exercise 5 23 4.6 4.3 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 116.9333 2 58.46667 10.82716 0.002055 3.885294 Within Groups 64.8 12 5.4 Total 181.7333 14

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