3.(2.5 marks) 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 269 children suffering from clinical depression, which were randomly assigned into five treatment conditions: Treatment A: CBT, Treatment B: Family Therapy, Treatment C: Psychoanalysis, Treatment D: SSRI (antidepressant), Treatment E: Wait List. Tests of Normality Shapiro-Wilk df Statistic 230 60 Kolmogorov-Smirnova Therapy Statistic df Sig. improvement Wait List .491 60 .000 CBT .440 56 .000 Family .536 48 .000 Psychoanalysis .407 43 .000 SSRI .484 62 .000 a. Lilliefors Significance Correction sig. .000 .000 .000 56 .282 .129 .389 48 43 ,000 .221 62 .000 Test of Homogeneity of Variances Levene Statistic df1 df2 Sig. improvement Based on Mean 4.816 4 264 .001 Based on Median 4 264 .332 1.154 1.154 4 47.000 ,343 Based on Median and with adjusted df Based on trimmed mean 1.154 4 264 .332 ANOVA improvement Sum of Squares df F Sig. Mean Square 6.615E+22 2.646E+23 4 1.154 .332 Between Groups Within Groups Total 264 5.732E+22 1.513E+25 1.540E+25 268 (a) Using the SPSS output provided above, check if any of the assumptions are violated for the statistical test. Explain your answer. (0.5 marks) (b) Using the SPSS output provided above, Is this the appropriate statistical analysis for this scenario? Why or Why not? Explain your answer. (1 mark) (c) When will the F ratio approach 1.00? When will the Fratio be greater than 1.00? (1 mark) 3.(2.5 marks) 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 269 children suffering from clinical depression, which were randomly assigned into five treatment conditions: Treatment A: CBT, Treatment B: Family Therapy, Treatment C: Psychoanalysis, Treatment D: SSRI (antidepressant), Treatment E: Wait List. Tests of Normality Shapiro-Wilk df Statistic 230 60 Kolmogorov-Smirnova Therapy Statistic df Sig. improvement Wait List .491 60 .000 CBT .440 56 .000 Family .536 48 .000 Psychoanalysis .407 43 .000 SSRI .484 62 .000 a. Lilliefors Significance Correction sig. .000 .000 .000 56 .282 .129 .389 48 43 ,000 .221 62 .000 Test of Homogeneity of Variances Levene Statistic df1 df2 Sig. improvement Based on Mean 4.816 4 264 .001 Based on Median 4 264 .332 1.154 1.154 4 47.000 ,343 Based on Median and with adjusted df Based on trimmed mean 1.154 4 264 .332 ANOVA improvement Sum of Squares df F Sig. Mean Square 6.615E+22 2.646E+23 4 1.154 .332 Between Groups Within Groups Total 264 5.732E+22 1.513E+25 1.540E+25 268 (a) Using the SPSS output provided above, check if any of the assumptions are violated for the statistical test. Explain your answer. (0.5 marks) (b) Using the SPSS output provided above, Is this the appropriate statistical analysis for this scenario? Why or Why not? Explain your answer. (1 mark) (c) When will the F ratio approach 1.00? When will the Fratio be greater than 1.00? (1 mark)
