2 Is honey a cough remedy? Pediatric researchers carried out a designed study to test whether a teaspoon of honey before bed calms a child's cough and published their results in Archives of Pediatrics and Adolescent Medicine (December 2007). (This experiment was first described in Exercise 2.31, p. 62.) A sample of 105 children who were ill with an upper respiratory tract infection and their parents participated in the study. On the first night, the parents rated their chil- dren's cough symptoms on a scale from 0 (no problems at all) to 6 (extremely severe) in five different areas. The total symptoms score (ranging from 0 to 30 points) was the vari- able of interest for the 105 patients. On the second night, the parents were instructed to give their sick children a dosage of liquid “medicine" prior to bedtime. Unknown to the parents, some were given a dosage of dextromethorphan (DM)–an over-the-counter cough medicine-while oth- ers were given a similar dose of honey. Also, a third group of parents (the control group) gave their sick children no dosage at all. Again, the parents rated their children's cough symptoms, and the improvement in total cough symptoms score was determined for each child. The data (improve- ment scores) for the study are shown in the accompanying table. The goal of the researchers was to compare the mean improvement scores for the three treatment groups. a. Identify the type of experimental design employed. GH What are the treatments? b. Conduct an analysis of variance on the data and inter- pret the results. c. Check the validity of the ANOVA assumptions. 9 14 9 11 15 5 12 12 11 15 11 10 13 10 4 15 16 Honey Dosage: 10 6 10 10 15 9 13 8 11 12 12 8 12 8 12 10 8. 9. 4 6 9 4 7 7 1 9 12 10 11 DM Dosage: 3 4 12 13 9 12 6. 4 8 12 12 4 10 15 9. 7 7 10 13 4 No Dosage (Control): 8 6. 7 7 12 6 7 10 8 12 9. 8 7 5 7 6. 8 3 1 5 11 9. 6. 8 4 8 7 3 1 4 179
2 Is honey a cough remedy? Pediatric researchers carried out a designed study to test whether a teaspoon of honey before bed calms a child's cough and published their results in Archives of Pediatrics and Adolescent Medicine (December 2007). (This experiment was first described in Exercise 2.31, p. 62.) A sample of 105 children who were ill with an upper respiratory tract infection and their parents participated in the study. On the first night, the parents rated their chil- dren's cough symptoms on a scale from 0 (no problems at all) to 6 (extremely severe) in five different areas. The total symptoms score (ranging from 0 to 30 points) was the vari- able of interest for the 105 patients. On the second night, the parents were instructed to give their sick children a dosage of liquid “medicine" prior to bedtime. Unknown to the parents, some were given a dosage of dextromethorphan (DM)–an over-the-counter cough medicine-while oth- ers were given a similar dose of honey. Also, a third group of parents (the control group) gave their sick children no dosage at all. Again, the parents rated their children's cough symptoms, and the improvement in total cough symptoms score was determined for each child. The data (improve- ment scores) for the study are shown in the accompanying table. The goal of the researchers was to compare the mean improvement scores for the three treatment groups. a. Identify the type of experimental design employed. GH What are the treatments? b. Conduct an analysis of variance on the data and inter- pret the results. c. Check the validity of the ANOVA assumptions. 9 14 9 11 15 5 12 12 11 15 11 10 13 10 4 15 16 Honey Dosage: 10 6 10 10 15 9 13 8 11 12 12 8 12 8 12 10 8. 9. 4 6 9 4 7 7 1 9 12 10 11 DM Dosage: 3 4 12 13 9 12 6. 4 8 12 12 4 10 15 9. 7 7 10 13 4 No Dosage (Control): 8 6. 7 7 12 6 7 10 8 12 9. 8 7 5 7 6. 8 3 1 5 11 9. 6. 8 4 8 7 3 1 4 179
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:2 Is honey a cough remedy? Pediatric researchers carried out
a designed study to test whether a teaspoon of honey before
bed calms a child's cough and published their results in
Archives of Pediatrics and Adolescent Medicine (December
2007). (This experiment was first described in Exercise 2.31,
p. 62.) A sample of 105 children who were ill with an upper
respiratory tract infection and their parents participated
in the study. On the first night, the parents rated their chil-
dren's cough symptoms on a scale from 0 (no problems at
all) to 6 (extremely severe) in five different areas. The total
symptoms score (ranging from 0 to 30 points) was the vari-
able of interest for the 105 patients. On the second night,
the parents were instructed to give their sick children a
dosage of liquid “medicine" prior to bedtime. Unknown to
the parents, some were given a dosage of dextromethorphan
(DM)–an over-the-counter cough medicine-while oth-
ers were given a similar dose of honey. Also, a third group
of parents (the control group) gave their sick children no
dosage at all. Again, the parents rated their children's cough
symptoms, and the improvement in total cough symptoms
score was determined for each child. The data (improve-
ment scores) for the study are shown in the accompanying
table. The goal of the researchers was to compare the mean
improvement scores for the three treatment groups.
a. Identify the type of experimental design employed.
GH
What are the treatments?
b. Conduct an analysis of variance on the data and inter-
pret the results.
c. Check the validity of the ANOVA assumptions.
9 14
9 11 15
5 12
12 11 15 11 10 13 10
4 15 16
Honey
Dosage:
10
6 10
10 15
9 13
8 11 12 12
8 12
8 12 10
8.
9.
4 6 9 4 7 7 1 9 12 10 11
DM
Dosage:
3
4
12 13
9 12
6.
4
8 12 12
4 10 15
9.
7
7 10 13
4
No Dosage
(Control):
8
6.
7
7 12
6 7 10
8 12
9.
8
7
5
7
6.
8
3
1
5 11
9.
6.
8
4
8
7
3
1
4
179
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