ANOVA ANALYSIS IN RESEARCH: COMPARING GROUP DIFFERENCES ACROSS VARIOUS STUDIES

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COUN 503 Page 1 of 6 ANOVA A NALYSIS IN R ESEARCH : C OMPARING G ROUP D IFFERENCES A CROSS V ARIOUS S TUDIES W EB C ALCULATOR E XERCISE 5 ANOVAs 1. A researcher is interested in comparing the effectiveness of three different kinds of therapy for anger problems. Eight participants are randomly assigned to three treatment conditions: Cognitive Therapy (CT), Cognitive - Behavioral Therapy (CBT), and Interpersonal Therapy (IT). All participants complete the weekly treatment for 8 weeks. Participants take an anger test before and after the 8 - week treatments. Each participant’s difference score (= anger score after the treatment minus ( – ) anger score before the treatment) is shown in the following table. The three therapists in this experiment have equal educational level s and clinical experience s . CT CBT IT 3 5 7 4 4 8 4 6 9 4 6 10 3 5 6 8 4 7 6 9 11 2 7 10 a. What statistical test should be used to analyze the data? One factor ANOVA b. Identify H 0 and H a for this study. H 0 : There is no significant difference in the mean difference scores of the three treatment conditions. H a : There is significant difference in the mean difference scores of the three treatment conditions. c. Conduct the appropriate analysis. The test statistic used is F Test (ANOVA) F = MS ( Between Groups)/MS (Within Groups) = 37.16666667/3.19047619
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