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Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who suffer from untreated sleep apnea often have behavior problems, including hyperactivity, inattention, and aggression. A common treatment for pediatric sleep apnea is the surgical removal of enlarged tonsils and adenoids that are obstructing the airways. Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on inattentive behavior. They study 1

Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who suffer from untreated sleep apnea often have behavior problems, including hyperactivity, inattention, and aggression. A common treatment for pediatric sleep apnea is the surgical removal of enlarged tonsils and adenoids that are obstructing the airways. Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on inattentive behavior. They study 1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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df for Error Term 20 24 They 30 They 40 60 The researchers 2 2.95 3 3.58 4.02 4.64 The top value is a = .05; the bottom (bold) value is a = .01. The number of treatments is listed across. The df for the error term is in the left column, where the "error term" is another name for the within-treatments variance. 2.92 3.53 3.96 4.55 2.89 3.49 3.89 4.45 2.86 3.44 3.82 4.37 2.83 3.40 3.76 4.28 Now, use the q value to calculate Tukey's HSD. Tukey's HSD is be significant. The Studentized Range Statistic (q) Thus, the mean difference between any two samples must be at least conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ. conclude that the population means for children without sleep apnea and children with treated sleep apnea differ. KE conclude that the population means for children with untreated sleep apnea and children with treated sleep apnea differ. to
Transcribed Image Text:df for Error Term 20 24 They 30 They 40 60 The researchers 2 2.95 3 3.58 4.02 4.64 The top value is a = .05; the bottom (bold) value is a = .01. The number of treatments is listed across. The df for the error term is in the left column, where the "error term" is another name for the within-treatments variance. 2.92 3.53 3.96 4.55 2.89 3.49 3.89 4.45 2.86 3.44 3.82 4.37 2.83 3.40 3.76 4.28 Now, use the q value to calculate Tukey's HSD. Tukey's HSD is be significant. The Studentized Range Statistic (q) Thus, the mean difference between any two samples must be at least conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ. conclude that the population means for children without sleep apnea and children with treated sleep apnea differ. KE conclude that the population means for children with untreated sleep apnea and children with treated sleep apnea differ. to
10. Tukey's HSD test Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who suffer from untreated sleep apnea often have behavior problems, including hyperactivity, inattention, and aggression. A common treatment for pediatric sleep apnea is the surgical removal of enlarged tonsils and adenoids that are obstructing the airways. Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on inattentive behavior. They study 11 children without sleep apnea, 11 children with untreated sleep apnea, and 11 children who have been surgically treated for sleep apnea. Inattentiveness is measured using the Conners Rating Scales. The sample means and sums of squares of the scores for each of the three groups are presented in the following table. Group No Sleep Apnea Untreated Sleep Apnea Treated Sleep Apnea Sample Mean Sum of Squares 0.42 0.56 0.30 The researchers perform an analysis of variance (ANOVA) at a = 0.01 to test the hypothesis that the treatment means are equal. The results are presented in the following ANOVA table. 0.3240 0.4410 0.2250 Source of Variation Sum of Squares Between Treatments Within Treatments Total 0.3725 0.9900 1.3625 ANOVA Table Degrees of Freedom Mean Square F 2 5.65 30 32 0.1863 0.0330 The ANOVA yielded a significant F statistic, so the null hypothesis is rejected. Since there are more than two groups, the researchers are interested in determining which groups are different. The Tukey's Honestly Significant Difference (HSD) test will be used to evaluate the pairs. First, use the table given below to determine the appropriate value of q at a = 0.01. The q value for this problem is
Transcribed Image Text:10. Tukey's HSD test Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who suffer from untreated sleep apnea often have behavior problems, including hyperactivity, inattention, and aggression. A common treatment for pediatric sleep apnea is the surgical removal of enlarged tonsils and adenoids that are obstructing the airways. Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on inattentive behavior. They study 11 children without sleep apnea, 11 children with untreated sleep apnea, and 11 children who have been surgically treated for sleep apnea. Inattentiveness is measured using the Conners Rating Scales. The sample means and sums of squares of the scores for each of the three groups are presented in the following table. Group No Sleep Apnea Untreated Sleep Apnea Treated Sleep Apnea Sample Mean Sum of Squares 0.42 0.56 0.30 The researchers perform an analysis of variance (ANOVA) at a = 0.01 to test the hypothesis that the treatment means are equal. The results are presented in the following ANOVA table. 0.3240 0.4410 0.2250 Source of Variation Sum of Squares Between Treatments Within Treatments Total 0.3725 0.9900 1.3625 ANOVA Table Degrees of Freedom Mean Square F 2 5.65 30 32 0.1863 0.0330 The ANOVA yielded a significant F statistic, so the null hypothesis is rejected. Since there are more than two groups, the researchers are interested in determining which groups are different. The Tukey's Honestly Significant Difference (HSD) test will be used to evaluate the pairs. First, use the table given below to determine the appropriate value of q at a = 0.01. The q value for this problem is
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