Problem #10 The top value is a = .05; the bottom (bold) value is a = .01. The number of treatments islisted across. The df for the error term is in the left column, where the "error term" isanother name for the within-treatments variance.Now, use the q value to calculate Tukey's HSD. Tukey's HSD isbetween any two samples must be at leastto be significant.Thus, the mean differenceThe researchersconclude that the population means for children without sleep apneaand children with untreated sleep apnea differ.Theyconclude that the population means for children without sleep apnea and childrenwith treated sleep apnea differ.Theyconclude that the population means for children with untreated sleep apnea andchildren with treated sleep apnea differ. Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who sufferfrom untreated sleep apnea often have behavior problems, including hyperactivity, inattention, andaggression. A common treatment for pediatric sleep apnea is the surgical removal of enlargedtonsils and adenoids that are obstructing the airways.Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatricsleep apnea on hyperactive behavior. They study 11 children without sleep apnea, 11 children withuntreated sleep apnea, and 11 children who have been surgically treated for sleep apnea.Hyperactivity 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 inthe following table.GroupNo Sleep ApneaUntreated Sleep ApneaTreated Sleep ApneaThe researchers perform an analysis of variance (ANOVA) at a = 0.01 to test the hypothesis thatthe treatment means are equal. The results are presented in the following ANOVA table.ANOVA TableSource of Variation Sum of Squares Degrees of Freedom Mean Square FBetween Treatments26.53Within Treatments30Total32df for Error Term2024Sample Mean Sum of Squares0.32400.44100.2250300.590.450.31The ANOVA yielded a significant F statistic, so the null hypothesis is rejected. Since there are morethan two groups, the researchers are interested in determining which groups are different. TheTukey's Honestly Significant Difference (HSD) test will be used to evaluate the pairs. First, use thetable given below to determine the appropriate value of q at a = 0.01. The q value for this problemis40600.43120.99001.42120.21560.0330The Studentized Range Statistic (q)22.95 3.5834.02 4.642.92 3.533.96 4.552.89 3.493.89 4.452.86 3.443.82 4.372.83 3.403.76 4.28

from the given data, we have number of samples k = 3 That is no sleep Apnea, untreated sleep Apnea,…

Answered: The top value is a = .05; the bottom…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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