ANOVA ANALYSIS IN RESEARCH: COMPARING GROUP DIFFERENCES ACROSS VARIOUS STUDIES
A study using ANOVA to compare group differences in multiple research studies.
Amelia Davis
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COUN 503Page1of6ANOVAANALYSIS INRESEARCH:COMPARINGGROUPDIFFERENCESACROSSVARIOUSSTUDIESWEBCALCULATOREXERCISE5ANOVAs1.A researcher is interested in comparing the effectiveness of three different kinds of therapy foranger 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 beforeand after the 8-week treatments. Each participant’s difference score (= anger score after thetreatmentminus (–)anger score before the treatment) is shown in the following table. The threetherapists in thisexperiment haveequal educational levelsand clinical experiences.CTCBTIT357448469461035684769112710a.What statistical test should be used to analyze the data?One factor ANOVAb.Identify H0and Hafor this study.H0:There is no significant difference in the mean difference scores of the three treatmentconditions.Ha: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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