A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on aggressive behavior. Her quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and adenoidectomies. Aggression was measured using parent reports on the Conners Rating Scale. The sample means and sums of squared deviations of the scores for each of the three groups are presented in the table that follows. Group Sample Mean Sum of Squares No sleep apnea 0.42 0.3240 Untreated sleep apnea 0.56 0.4410 Treated sleep apnea 0.30 0.2250 After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are presented in the ANOVA table that follows. ANOVA Table Source of Degrees of Variation Sum of Squares Freedom Mean Square Between Treatments 0.3729 2 0.1865 5.65 Within Treatments 0.9900 30 0.0330 Total 1.3629 32 The critical value of F when a = .01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologist is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C. Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The SSbetween AB is . The FA versus B iS 5.63

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A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on aggressive behavior. Her
quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the
second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and
adenoidectomies. Aggression was measured using parent reports on the Conners Rating Scale. The sample means
and sums of squared deviations of the scores for each of the three groups are presented in the table that follows.
Group
Sample Mean Sum of Squares
No sleep apnea
0.42
0.3240
Untreated sleep apnea
0.56
0.4410
Treated sleep apnea
0.30
0.2250
After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are
presented in the ANOVA table that follows.
ANOVA Table
Source of
Degrees of
Variation
Sum of Squares
Freedom
Mean Square
Between Treatments
0.3729
2
0.1865
5.65
Within Treatments
0.9900
30
0.0330
Total
1.3629
32
The critical value of F when a = .01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390.
The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments.
Since more than two groups are involved, the psychologist is interested in determining which groups are different.
The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group
B, and the treated sleep apnea group C.
Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the
untreated sleep apnea group (B). The SSbetween AB is
. The FA versus B iS
5.63
Transcribed Image Text:A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on aggressive behavior. Her quasi-experiment includes three groups of 11 children. The first group of children does not have sleep apnea, the second group has untreated sleep apnea, and the third group has sleep apnea treated by tonsillectomies and adenoidectomies. Aggression was measured using parent reports on the Conners Rating Scale. The sample means and sums of squared deviations of the scores for each of the three groups are presented in the table that follows. Group Sample Mean Sum of Squares No sleep apnea 0.42 0.3240 Untreated sleep apnea 0.56 0.4410 Treated sleep apnea 0.30 0.2250 After collecting the data, the clinical psychologist analyzes the data using an ANOVA. The results of her analysis are presented in the ANOVA table that follows. ANOVA Table Source of Degrees of Variation Sum of Squares Freedom Mean Square Between Treatments 0.3729 2 0.1865 5.65 Within Treatments 0.9900 30 0.0330 Total 1.3629 32 The critical value of F when a = .01 is 5.390, meaning the critical region consists of all F-ratios greater than 5.390. The F-ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologist is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C. Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The SSbetween AB is . The FA versus B iS 5.63
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