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: At least one anxiety mean is different from another There are no differences among the anxiety means across the three time points There are no individual differences in the anxiety means The results of the study are presented in the following data table. All scores are from the Achenbach Child Behavior Checklist. Anxiety Score Child Before Treatment After Treatment 12-Month Follow-Up Participant Totals A 2.19 1.45 1.94 P = 5.58 n = 6 B 1.35 1.34 1.26 P = 3.95 k = 3 C 1.91 0.69 1.17 P = 3.77 N = 18 D 1.18 0.84 0.76 P = 2.78 G = 27.04 E 2.56 1.17 1.18 P = 4.91 ΣX² = 45.6864 F 2.31 1.82 1.92 P = 6.05 T = 11.50 T = 7.31 T = 8.23 SS = 1.5072 SS = 0.8551 SS = 1.0877 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. Source SS ANOVA Table MS F df Between treatments 1.6164 2 0.8082 Within treatments 3.4500 15 0.2300 Between subjects 2.5102 5 0.5020 Error 0.9398 10 0.0940 Total 5.0663 17 Fill in the missing value for the F test statistic in the ANOVA table. 0123 F Distributiont Distribution Select a Distribution Use the F distribution in the Distributions tool to find the critical value of F for α = 0.05. The critical value is F = . At a significance level of α = 0.05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is . You conclude that parent-child therapy has an effect on anxiety in children who have witnessed family violence. To measure the effect size, calculate η². The η² is . The percentage of variance accounted for by the treatment effect is .

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: At least one anxiety mean is different from another There are no differences among the anxiety means across the three time points There are no individual differences in the anxiety means The results of the study are presented in the following data table. All scores are from the Achenbach Child Behavior Checklist. Anxiety Score Child Before Treatment After Treatment 12-Month Follow-Up Participant Totals A 2.19 1.45 1.94 P = 5.58 n = 6 B 1.35 1.34 1.26 P = 3.95 k = 3 C 1.91 0.69 1.17 P = 3.77 N = 18 D 1.18 0.84 0.76 P = 2.78 G = 27.04 E 2.56 1.17 1.18 P = 4.91 ΣX² = 45.6864 F 2.31 1.82 1.92 P = 6.05 T = 11.50 T = 7.31 T = 8.23 SS = 1.5072 SS = 0.8551 SS = 1.0877 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. Source SS ANOVA Table MS F df Between treatments 1.6164 2 0.8082 Within treatments 3.4500 15 0.2300 Between subjects 2.5102 5 0.5020 Error 0.9398 10 0.0940 Total 5.0663 17 Fill in the missing value for the F test statistic in the ANOVA table. 0123 F Distributiont Distribution Select a Distribution Use the F distribution in the Distributions tool to find the critical value of F for α = 0.05. The critical value is F = . At a significance level of α = 0.05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is . You conclude that parent-child therapy has an effect on anxiety in children who have witnessed family violence. To measure the effect size, calculate η². The η² is . The percentage of variance accounted for by the treatment effect is .

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Description: 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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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:

At least one anxiety mean is different from another

There are no differences among the anxiety means across the three time points

There are no individual differences in the anxiety means

The results of the study are presented in the following data table. All scores are from the Achenbach Child Behavior Checklist.

Anxiety Score

Child	Before Treatment	After Treatment	12-Month Follow-Up	Participant Totals
A	2.19	1.45	1.94	P = 5.58	n = 6
B	1.35	1.34	1.26	P = 3.95	k = 3
C	1.91	0.69	1.17	P = 3.77	N = 18
D	1.18	0.84	0.76	P = 2.78	G = 27.04
E	2.56	1.17	1.18	P = 4.91	ΣX² = 45.6864
F	2.31	1.82	1.92	P = 6.05
	T = 11.50	T = 7.31	T = 8.23
	SS = 1.5072	SS = 0.8551	SS = 1.0877

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.

Source	SS	ANOVA Table	MS
df
Between treatments	1.6164	2	0.8082
Within treatments	3.4500	15	0.2300
Between subjects	2.5102	5	0.5020
Error	0.9398	10	0.0940
Total	5.0663	17

Fill in the missing value for the F test statistic in the ANOVA table.

0123

F Distributiont Distribution

Select a Distribution

Use the F distribution in the Distributions tool to find the critical value of F for α = 0.05. The critical value is F = .

At a significance level of α = 0.05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is . You conclude that parent-child therapy has an effect on anxiety in children who have witnessed family violence.

To measure the effect size, calculate η². The η² is . The percentage of variance accounted for by the treatment effect is .

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