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 = 0.05. The q value for this problem is 3.40

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Problem Set: Chapter 12 Introduction to Analysis of Variance
Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on hyperactive behavior. They study 21
children without sleep apnea, 21 children with untreated sleep apnea, and 21 children who have been surgically treated for sleep apnea. Hyperactivity
tudy Tools
is measured using the Conners Rating Scales.
ns
The sample means and sums of squares of the scores for each of the three groups are presented in the following table.
ess Tips
Group
Sample Mean
Sum of Squares
ess Tips
No Sleep Apnea
0.41
0.5120
Untreated Sleep Apnea
0.72
0.8820
Treated Sleep Apnea
0.48
0.7220
ack
A-
The researchers perform an analysis of variance (ANOVA) at a = 0.05 to test the hypothesis that the treatment means are equal. The results are
presented in the following ANOVA table.
ANOVA Table
Source of Variation
Sum of Squares
Degrees of Freedom
Mean Square
0.5551
15.73
Between Treatments
1.1102
2.
0.0353
Within Treatments
2.1160
09
Total
3.2262
62
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Transcribed Image Text:F. 6, 00 5 %24 S' nttps://ng.cengage.com/static/nb/ui/evo/index.html?deploymentld%3D5993922324514086591623647962&elSBN=9780357035542&id%3D1231809269&snapshotld%=2490480& Maps M Gmail News ATranslate * CENGAGE MINDTAP E Re >> Q Search this course Problem Set: Chapter 12 Introduction to Analysis of Variance Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on hyperactive behavior. They study 21 children without sleep apnea, 21 children with untreated sleep apnea, and 21 children who have been surgically treated for sleep apnea. Hyperactivity tudy Tools is measured using the Conners Rating Scales. ns The sample means and sums of squares of the scores for each of the three groups are presented in the following table. ess Tips Group Sample Mean Sum of Squares ess Tips No Sleep Apnea 0.41 0.5120 Untreated Sleep Apnea 0.72 0.8820 Treated Sleep Apnea 0.48 0.7220 ack A- The researchers perform an analysis of variance (ANOVA) at a = 0.05 to test the hypothesis that the treatment means are equal. The results are presented in the following ANOVA table. ANOVA Table Source of Variation Sum of Squares Degrees of Freedom Mean Square 0.5551 15.73 Between Treatments 1.1102 2. 0.0353 Within Treatments 2.1160 09 Total 3.2262 62 4:10 AM 11/30/2021 pe here to search dy home end ort sc delete 114 unu backspace lock 4. P. enter H. asned W N
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Problem Set: Chapter 12 Introduction to Analysis of Variance
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
y Tools
given below to determine the appropriate value of q at a = 0.05. The q value for this problem is 3.40
The Studentized Range Statistic (q)
df for Error Term
2.
2.95
3.58
sdļ
4.02
4.64
24
2.92
3.53
96
4.55
3.49
2.89
68
4.45
2.86
3.44
3.82
4.37
2.83
3.40
09
3.76
4.28
The top value is a = .05; the bottonm (bold) value is a = .01. The number of treatments is listed across. The df for the error term is in
%3D
%3D
the left column, where the "error term" is another name for the within-treatments variance.
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Transcribed Image Text:Σ 00 I 3. 30 FL ml!deploymentld%3D5993922324514086591623647962&elSBN=9780357035542&id%3D1231809269&snapshotld%3D2490480& AMaps M Gmail News A Translate * CENGAGE MINDTAP >> 国 Q Search this cours Problem Set: Chapter 12 Introduction to Analysis of Variance 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 y Tools given below to determine the appropriate value of q at a = 0.05. The q value for this problem is 3.40 The Studentized Range Statistic (q) df for Error Term 2. 2.95 3.58 sdļ 4.02 4.64 24 2.92 3.53 96 4.55 3.49 2.89 68 4.45 2.86 3.44 3.82 4.37 2.83 3.40 09 3.76 4.28 The top value is a = .05; the bottonm (bold) value is a = .01. The number of treatments is listed across. The df for the error term is in %3D %3D the left column, where the "error term" is another name for the within-treatments variance. 4:11 AM 各ツ < 11/30/2021 e here to search E. a. dy end Sun prt sc delete 11404 backspace unum lock 米 $4 4. 7. PU enter asned
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