Psychological Profiles Researchers wanted to determine if the psychological profile of healthy children was different than for children suffering from recurrent abdominal pain (RAP) or recurring headaches. A total of 210 children and adolescents were studied and their psychological profiles were graded according to the Child Behavior Checklist 4– 18 (CBCL). Children were stratified in two age groups: 4 to 11 years and 12 to 18 years. The results of the study are summarized in the following table: Control group: N: 70 Sample mean: 11.7 Sample variance:21.6 RAP : N:70 Sample mean:9.0 Sample variance:13.0 Headache: N:70 Sample mean:12.4 Sample variance :8.4 Source: Galli, et al. “Headache and Recurrent Abdominal Pain: A Controlled Study by Means of the Child Behaviour Checklist (CBCL).” Cephalalgia 27, 211–219, 2007 (a) Compute the sample standard deviation for each group (rounded to the tenth’s place). (b) Use a two sample t-test for independent samples to determine if there is a significant difference in mean CBCL scores between the control group and the RAP group (assume that both samples are simple random samples). Use 0.05 level of significance. (c) Use the one-way ANOVA procedure with 0.05to determine if the mean CBCL scores are different for the three treatment groups [Note: you will need to use the Chi-Square Table to determine your critical value.] the F-test statistic is F = 15.74 and the p-value = 0.0012. (d) Based on your results from parts (b) and (c), can you determine if there is a significant difference between the mean scores of the RAP group and the headache group? Explain why you believe your response is true.
Psychological Profiles Researchers wanted to determine if the psychological profile of healthy children was different than for children suffering from recurrent abdominal pain (RAP) or recurring headaches. A total of 210 children and adolescents were studied and their psychological profiles were graded according to the Child Behavior Checklist 4– 18 (CBCL). Children were stratified in two age groups: 4 to 11 years and 12 to 18 years. The results of the study are summarized in the following table:
Control group: N: 70 Sample mean: 11.7 Sample variance:21.6
RAP : N:70 Sample mean:9.0 Sample variance:13.0
Headache: N:70 Sample mean:12.4 Sample variance :8.4
Source: Galli, et al. “Headache and Recurrent Abdominal Pain: A Controlled Study by Means of the Child Behaviour Checklist (CBCL).”
Cephalalgia 27, 211–219, 2007
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(a) Compute the sample standard deviation for each group (rounded to the tenth’s place).
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(b) Use a two sample t-test for independent samples to determine if there is a significant difference in mean CBCL scores between the control group and the RAP group (assume that both samples are simple random samples). Use 0.05 level of significance.
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(c) Use the one-way ANOVA procedure with 0.05to determine if the mean CBCL scores are different for the three treatment groups [Note: you will need to use the Chi-Square Table to determine your critical value.] the F-test statistic is F = 15.74 and the p-value = 0.0012.
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(d) Based on your results from parts (b) and (c), can you determine if there is a significant difference between the mean scores of the RAP group and the headache group? Explain why you believe your response is true.
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