4. A researcher was examining the effectiveness of different treatments in reducing depressive symptoms in children under the age of 10, who have been victims of child abuse. This study involves 207 children suffering from clinical depression, who were randomly assigned into four treatment conditions: Treatment A: CBT, Treatment B: Family Therapy, Treatment C: Psychoanalysis, Treatment D: Wait List. Using a significance level of 0.05, answer the following questions. Improvment Improvment Improvment Therapy Wait List CBT Family Between Groups Within Groups Total Psychoanalysis Based on Mean Based on Median Based on Median and with adjusted df Based on trimmed mean Sum of Squares Test of Homogeneity of Variances 1002.541 7085.788 8088.329 ANOVA df 3 203 206 Tests of Normality Kolmogorov-Smirnovª df Statistic .105 .119 .108 .092 Levene Statistic 1.934 1.932 1.932 1.940 Mean Square 334.180 34.905 df1 3 3 3 3 F 60 56 48 43 df2 9.574 203 203 164.105 203 Sig. Sig. .097 .048 .200* .200* .000 Sig. .125 126 .126 .124 (a) Using the SPSS output provided above, check the assumptions and state all the results. Report whether there were any violations. Explain your answer. (b) Using the SPSS output provided above, Is this the appropriate statistical analysis for this scenario? Why or why not? Explain your answer. (c) When will the F ratio approach 1.00? When will the F ratio be greater than 1.00? Explain your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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4. A researcher was examining the effectiveness of different treatments in reducing
depressive symptoms in children under the age of 10, who have been victims of child
abuse. This study involves 207 children suffering from clinical depression, who were
randomly assigned into four treatment conditions: Treatment A: CBT, Treatment B:
Family Therapy, Treatment C: Psychoanalysis, Treatment D: Wait List. Using a
significance level of 0.05, answer the following questions.
Improvment
Improvment
Improvment
Therapy
Wait List
CBT
Family
Between Groups
Within Groups
Total
Psychoanalysis
Based on Mean
Based on Median
Based on Median and
with adjusted df
Based on trimmed mean
Sum of
Squares
Test of Homogeneity of Variances
1002.541
7085.788
8088.329
ANOVA
df
3
203
206
Tests of Normality
Kolmogorov-Smirnova
df
Statistic
.105
119
.108
.092
Levene
Statistic
1.934
1.932
1.932
1.940
Mean Square
334.180
34.905
df1
3
3
3
3
60
56
48
43
df2
F
9.574
203
203
164.105
203
Sig.
Sig.
.097
.048
.200*
.200*
.000
Sig.
.125
.126
.126
.124
(a) Using the SPSS output provided above, check the assumptions and state all the results.
Report whether there were any violations. Explain your answer.
(b) Using the SPSS output provided above, Is this the appropriate statistical analysis for
this scenario? Why or why not? Explain your answer.
(c) When will the F ratio approach 1.00? When will the F ratio be greater than 1.00?
Explain your answer.
Transcribed Image Text:4. A researcher was examining the effectiveness of different treatments in reducing depressive symptoms in children under the age of 10, who have been victims of child abuse. This study involves 207 children suffering from clinical depression, who were randomly assigned into four treatment conditions: Treatment A: CBT, Treatment B: Family Therapy, Treatment C: Psychoanalysis, Treatment D: Wait List. Using a significance level of 0.05, answer the following questions. Improvment Improvment Improvment Therapy Wait List CBT Family Between Groups Within Groups Total Psychoanalysis Based on Mean Based on Median Based on Median and with adjusted df Based on trimmed mean Sum of Squares Test of Homogeneity of Variances 1002.541 7085.788 8088.329 ANOVA df 3 203 206 Tests of Normality Kolmogorov-Smirnova df Statistic .105 119 .108 .092 Levene Statistic 1.934 1.932 1.932 1.940 Mean Square 334.180 34.905 df1 3 3 3 3 60 56 48 43 df2 F 9.574 203 203 164.105 203 Sig. Sig. .097 .048 .200* .200* .000 Sig. .125 .126 .126 .124 (a) Using the SPSS output provided above, check the assumptions and state all the results. Report whether there were any violations. Explain your answer. (b) Using the SPSS output provided above, Is this the appropriate statistical analysis for this scenario? Why or why not? Explain your answer. (c) When will the F ratio approach 1.00? When will the F ratio be greater than 1.00? Explain your answer.
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