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Question

Student Question x C O Courses. action takeQuiz&quiz; probGuid QNAPCOA8010100000036cTfa70090000&ctx; thomas myers 00038 aplia.com/af/servlet/quiz?quiz epeated Measures Analysis of Variance aded Assignment Read Chapter 13 Back to Assignment Due Sunday 05.07.17 at 11M5 PM Attempts: Average: 6. Measuring effect size for the repeated-measures ANOVA Aa Aa Alicia F. Lieberman and Patricia van Horn have created a psychotherapy model for young children who have witnessed family violence. The therapy focuses on building the parent's capacity to nurture and protect the child, thereby promoting the child's emotional health and repairing the parent-child relationship, which has been disrupted by the stress and trauma of family violence. As a clinical psychology intern, you are learning parent-child therapy with Drs. Ueterman and van Hom. You see six parent child dyads for a year and then evaluate them before therapy, after therapy, and again one year after therapy is rinished, You are interested in assessing whether the treatment had an effect on the child's attention problems, In the experiment above, the null hypothesis is: At least one attention problems mean is different from another Q There are no differences among the attebtion problems means across the three time points O There are no individual differences in the attention problems means The results of the study are presented in the following data table, All scores are from the Achenbach Child Behavior Checklist Attention Score O 630 AM Type here to search 5/2/2017

Explanation / Answer

Null hypothesis of this experiment is there is no difference among the attention problems means across the three time points i.e H0: mew1 = mew2= mew3 = mew4

the test statistic value of F = MSB/MSE= Mean sum of square b/w treatments/mean sum of squares b/w errors = 0.0858/0.014=6.13

the critical value of F at 0.05 level with (2,10) degree of freedom is 4.10

therefore calculated value > table value (6.13>4.10)

therefore H0 is rejected i.e we may conclude that the population means of all treatments are not equal

i.e the parent child therapy has effect on attention problems in child who have witnessed family voilence

the effect size = eta2= SSB/SST= 0.1716/5.3028 = 0.032 = 3.2%