11.66 Orthodontics and one-way between-groups ANOVA: Iranian researchers studied factors affect- ing patients likelihood of wearing orthodontic appli- ances, noting that orthodontics is perhaps the area of health care with the highest need for patient coopera- tion (Behenam & Pooya, 2007). Among their analy- ses, they compared students in primary school, junior high school, and high school. The data that follow have almost exactly the same means as they found in their study, but with far smaller samples. The score for each student is his or her daily hours of wearing the orth- odontic appliance. Primary school: 16, 13, 18 Junior high school: 8, 13, 14, 12 High school: 20, 15, 16, 18 What is the independent variable? What are its levels? a. b. What is the dependent variable? c. Conduct all six steps of hypothesis testing for a one-way between-groups ANOVA. d. How would you report the statistics in a journal article? e. Conduct a Tukey HSD test. What did you learn? f. Calculate the appropriate measure of effect size for this sample. g. Based on Cohen's conventions, is this a small, medium, or large effect size? h. Why is it useful to know the effect size in addition to the results of a hypothesis test? How could this study be conducted using a within- groups design? 1.
11.66 Orthodontics and one-way between-groups ANOVA: Iranian researchers studied factors affect- ing patients likelihood of wearing orthodontic appli- ances, noting that orthodontics is perhaps the area of health care with the highest need for patient coopera- tion (Behenam & Pooya, 2007). Among their analy- ses, they compared students in primary school, junior high school, and high school. The data that follow have almost exactly the same means as they found in their study, but with far smaller samples. The score for each student is his or her daily hours of wearing the orth- odontic appliance. Primary school: 16, 13, 18 Junior high school: 8, 13, 14, 12 High school: 20, 15, 16, 18 What is the independent variable? What are its levels? a. b. What is the dependent variable? c. Conduct all six steps of hypothesis testing for a one-way between-groups ANOVA. d. How would you report the statistics in a journal article? e. Conduct a Tukey HSD test. What did you learn? f. Calculate the appropriate measure of effect size for this sample. g. Based on Cohen's conventions, is this a small, medium, or large effect size? h. Why is it useful to know the effect size in addition to the results of a hypothesis test? How could this study be conducted using a within- groups design? 1.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Answer part ( i ) ONLY .
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Transcribed Image Text:11.66 Orthodontics and one-way between-groups
ANOVA: Iranian researchers studied factors affect-
ing patients likelihood of wearing orthodontic appli-
ances, noting that orthodontics is perhaps the area of
health care with the highest need for patient coopera-
tion (Behenam & Pooya, 2007). Among their analy-
ses, they compared students in primary school, junior
high school, and high school. The data that follow have
almost exactly the same means as they found in their
study, but with far smaller samples. The score for each
student is his or her daily hours of wearing the orth-
odontic appliance.
Primary school: 16, 13, 18
Junior high school: 8, 13, 14, 12
High school: 20, 15, 16, 18
What is the independent variable? What are its
levels?
a.
b. What is the dependent variable?
c. Conduct all six steps of hypothesis testing for a
one-way between-groups ANOVA.
d. How would you report the statistics in a journal
article?
e. Conduct a Tukey HSD test. What did you learn?
f. Calculate the appropriate measure of effect size for
this sample.
g. Based on Cohen's conventions, is this a small,
medium, or large effect size?
h. Why is it useful to know the effect size in addition
to the results of a hypothesis test?
How could this study be conducted using a within-
groups design?
1.
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