11. The Scheffe test Aa Aa Sleep apnea is a sleep disorder characterized by paus

Question

11. The Scheffe test Aa Aa Sleep apnea is a sleep disorder characterized by pauses in breathing during sleep. Children with sleep apnea have behavior problems, including hyperactivity, inattention, and aggression, as well as impaired learming and diminished academic performance. The removal of tonsils and adenoids that are enlarged, causing the obstruction of the airways, is one of the most common treatments for pediatric sleep apnea. A clinical psychologist studies the effects of tonsillectomy and adenoidectomy on aggressive behavior. Her quasi-experiment includes three groups of 21 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 No sleep apnea Untreated sleep apnea Treated sleep apnea Sample Mean Sum of Squares 0.41 0.72 0.48 0.5120 0.8820 0.7220 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 Variation Between Treatments Within Treatments Total Sum of Squares 1.1109 2.1160 3.2269 Degrees of Freedom 2 60 62 Mean Square - 0.5555r 0.0353 15.74

Explanation / Answer

SS between AB = 21*(mean(A) - mean(mean(A),mean(B))^2 + (mean(B) - mean(mean(A),mean(B))^2

SS between AB is 1.00905

SS within AB is 0.512+0.882 = 1.394

F(A versus B ) = MSM/MSE = (1.00905/ 1) /(1.394/40) = 28.954

F(1,40,0.01) = 7.314

Hence the psychologist can conlude that the population means differ.

Similary

S Between A and C = 0.05145

F(A versus C) = 1.667

Hence the psychologist cannot conlude that the population means differ

SSbetween B and C = 0.6048

F = 15.08229

Hence the psychologist can conlude that the population means differ

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.