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Problem #5

Problem #5

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
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Problem #5

Fill in the missing value for the F test statistic in the ANOVA table. Select a Dist... ▾ 0 1 Distributions Use the F distribution in the Distributions tool to find the critical value of F for a = 0.05. The critical value is F = At a significance level of a = 0.05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is conclude that . You parent-child therapy has an effect on anxiety in children who have witnessed family violence. To measure the effect size, calculate n². The n² is accounted for by the treatment effect is The percentage of variance
Transcribed Image Text:Fill in the missing value for the F test statistic in the ANOVA table. Select a Dist... ▾ 0 1 Distributions Use the F distribution in the Distributions tool to find the critical value of F for a = 0.05. The critical value is F = At a significance level of a = 0.05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is conclude that . You parent-child therapy has an effect on anxiety in children who have witnessed family violence. To measure the effect size, calculate n². The n² is accounted for by the treatment effect is The percentage of variance
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. Lieberman and Van Horn. You see six parent-child dyads for a year and then evaluate them before therapy, after therapy, and again one year after therapy is finished. You are interested in assessing whether the treatment had an effect on the child's anxiety. In the experiment above, the null hypothesis is: There are no individual differences in the anxiety means O At least one anxiety mean is different from another There are no differences among the anxiety means across the three time points The results of the study are presented in the following data table. All scores are from the Achenbach Child Behavior Checklist. Child A B E F Total Before Treatment 2.80 1.53 2.67 1.42 1.61 2.56 T = 12.59 SS 2.0539 Source SS Between treatments 2.7352 Within treatments 2.3113 1.0332 1.2781 5.0464 Between subjects Error Anxiety Score After Treatment 1.32 1.48 1.29 1.43 1.21 1.31 T = 8.04 SS=0.0484 12-Month Follow-Up 1.50 1.12 1.44 0.99 1.10 ANOVA Table df 2 15 5 10 17 1.15 T = 7.30 SS = 0.2090 MS 1.3676 0.1541 0.2066 0.1278 The three treatment evaluations define three populations of interest. Use analysis of variance (ANOVA) to test the hypothesis that the three population means are equal. F Participant Totals Fill in the missing value for the F test statistic in the ANOVA table. P = 5.62 P = 4.13 P = 5.40 P = 3.84 P = 3.92 P = 5.02 n = 6 k = 3 N = 18 G = 27.93 ΣΧ2 = 48.3845
Transcribed Image Text: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. Lieberman and Van Horn. You see six parent-child dyads for a year and then evaluate them before therapy, after therapy, and again one year after therapy is finished. You are interested in assessing whether the treatment had an effect on the child's anxiety. In the experiment above, the null hypothesis is: There are no individual differences in the anxiety means O At least one anxiety mean is different from another There are no differences among the anxiety means across the three time points The results of the study are presented in the following data table. All scores are from the Achenbach Child Behavior Checklist. Child A B E F Total Before Treatment 2.80 1.53 2.67 1.42 1.61 2.56 T = 12.59 SS 2.0539 Source SS Between treatments 2.7352 Within treatments 2.3113 1.0332 1.2781 5.0464 Between subjects Error Anxiety Score After Treatment 1.32 1.48 1.29 1.43 1.21 1.31 T = 8.04 SS=0.0484 12-Month Follow-Up 1.50 1.12 1.44 0.99 1.10 ANOVA Table df 2 15 5 10 17 1.15 T = 7.30 SS = 0.2090 MS 1.3676 0.1541 0.2066 0.1278 The three treatment evaluations define three populations of interest. Use analysis of variance (ANOVA) to test the hypothesis that the three population means are equal. F Participant Totals Fill in the missing value for the F test statistic in the ANOVA table. P = 5.62 P = 4.13 P = 5.40 P = 3.84 P = 3.92 P = 5.02 n = 6 k = 3 N = 18 G = 27.93 ΣΧ2 = 48.3845
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