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Just Tukey and Scheffe's post hoc test ***

Just Tukey and Scheffe's post hoc test ***

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
Problem 1P
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*** Just Tukey and Scheffe's post hoc test ***

 
A team of researchers recruited a random sample of migraine sufferers. Before the study began at baseline, participants were asked to record the duration of headaches they experienced in a week. A few days later, all participants were asked to practice a week-long relaxation technique designed to reduce migraine headaches. A four-week off period in which the participants practiced nothing was given between the relaxation technique. Throughout the relaxation technique participants were asked to record the duration of headaches. What can be concluded with a = 0.05? baseline week 1 week 5 9 8 7 9. 6 6 6 4 12 7 10 8 a) What is the appropriate test statistic? Within-Subjects ANOVA b) Obtain/compute the appropriate values to make a decision about Ho. Critical Value = 3.6337 ; Test Statistic = 9.96: Decision: Reject H0 c) Compute the corresponding effect size(s) and indicate magnitude(s). Effect Size = 0.555 ; Magnitude: large effect d) Make an interpretation based on the results. O At least one week differs on the headache duration. O None of the weeks differed on headache duration. e) Regardless of the Ho decision in b), conduct Tukey's post hoc test for the following comparisons: 1 vs. 3: difference = 1 vs. 2: difference = X ; significant: Yes |× ; significant: Yes f) Regardless of the Ho decision in b), conduct Scheffe's post hoc test for the following comparisons: 1 vs. 2: test statistic = 1 vs. 3: test statistic X ; significant: Yes |× ; significant: Yes 9718끄779
Transcribed Image Text:A team of researchers recruited a random sample of migraine sufferers. Before the study began at baseline, participants were asked to record the duration of headaches they experienced in a week. A few days later, all participants were asked to practice a week-long relaxation technique designed to reduce migraine headaches. A four-week off period in which the participants practiced nothing was given between the relaxation technique. Throughout the relaxation technique participants were asked to record the duration of headaches. What can be concluded with a = 0.05? baseline week 1 week 5 9 8 7 9. 6 6 6 4 12 7 10 8 a) What is the appropriate test statistic? Within-Subjects ANOVA b) Obtain/compute the appropriate values to make a decision about Ho. Critical Value = 3.6337 ; Test Statistic = 9.96: Decision: Reject H0 c) Compute the corresponding effect size(s) and indicate magnitude(s). Effect Size = 0.555 ; Magnitude: large effect d) Make an interpretation based on the results. O At least one week differs on the headache duration. O None of the weeks differed on headache duration. e) Regardless of the Ho decision in b), conduct Tukey's post hoc test for the following comparisons: 1 vs. 3: difference = 1 vs. 2: difference = X ; significant: Yes |× ; significant: Yes f) Regardless of the Ho decision in b), conduct Scheffe's post hoc test for the following comparisons: 1 vs. 2: test statistic = 1 vs. 3: test statistic X ; significant: Yes |× ; significant: Yes 9718끄779
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