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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

need help with this Question RIGHT AWAY PLEASE!!!

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman