Week 5 Assignment Application: ANOVA Study: The Alpha Shoe Company When you read published research studies, you find experimental studies in which one or more variables are manipulated. One example is a study on whether students with windows in their classrooms give their instructors higher evaluations than students with no windows in their classrooms. You could do a basic comparison of these two groups with a t test, which you studied in Week 4. Perhaps it would be more interesting to have additional levels of environment. You might compare instructor evaluations when students are in a class with no windows, a class with windows that look out to a parking lot, a class with windows that look out to a park, or a class with no windows but pictures of windows on the wall. Since you have multiple levels of the factor, environment, an ANOVA would help you understand the differences between each. This Assignment will give you practice conducting a study with multiple levels of a factor by working once again with the Alpha Shoe Company. Since many research studies rely on the ANOVA for analysis, you will enhance your ability to understand the results of research studies that you evaluate in the future. Scenario: Imagine that Alpha Shoe Company wants to do a second study on the vertical lift basketball players can gain from their shoes. Recall that they believe that how high a player can jump is affected by the type of shoe that player wears. They identified 25 professional basketball players and randomly assigned each of them to wear one of the five types of shoe, then measured how high each player jumped. Each player’s jumping height is given below in inches: Pluto Omega II Beta Super Delta Gamma 29.1 29.2 28.5 28.4 27.7 29.8 29.1 28.9 28.0 27.9 30.0 28.8 29.2 28.8 28.0 29.0 28.7 28.3 29.0 28.2 31.1 28.8 30.0 28.9 28.0 Assignment: To complete this Assignment, submit by Day 7 answers to the following. Use SPSS to compare the means of the scores of these five shoes with a one-way ANOVA. Save and submit both your SPSS data file and your output. · Before comparing the scores with an ANOVA, state your null and alternative hypotheses in words (not formulas). · Identify the independent and dependent variables. · Name the levels in your identified factor. · State the within-group degrees of freedom and explain how you calculate it. · State the between-group degrees of freedom and explain how you calculate it. · Identify the obtained F value. · Identify the p value. · Explain whether the F test is significant. Explain how you know and what it tells you. · Explain what you can conclude about the effect of shoe choice on vertical lift (jumping height). · Should you conduct a post hoc test? Why or why not? If yes, conduct a Tukey HSD post hoc analysis. Explain what the results tell you about type of shoe choice and vertical lift. · Submit three documents for grading: your text (Word) document with your answers and explanations to the appli.

1. Week 5 Assignment
Application: ANOVA Study: The Alpha Shoe Company
When you read published research studies, you find
experimental studies in which one or more variables are
manipulated. One example is a study on whether students with
windows in their classrooms give their instructors higher
evaluations than students with no windows in their classrooms.
You could do a basic comparison of these two groups with a t
test, which you studied in Week 4. Perhaps it would be more
interesting to have additional levels of environment. You might
compare instructor evaluations when students are in a class with
no windows, a class with windows that look out to a parking lot,
a class with windows that look out to a park, or a class with no
windows but pictures of windows on the wall. Since you have
multiple levels of the factor, environment, an ANOVA would
help you understand the differences between each.
This Assignment will give you practice conducting a study with
multiple levels of a factor by working once again with the
Alpha Shoe Company. Since many research studies rely on the
ANOVA for analysis, you will enhance your ability to
understand the results of research studies that you evaluate in
the future.
Scenario:
Imagine that Alpha Shoe Company wants to do a second study
on the vertical lift basketball players can gain from their shoes.
Recall that they believe that how high a player can jump is

2. affected by the type of shoe that player wears. They identified
25 professional basketball players and randomly assigned each
of them to wear one of the five types of shoe, then measured
how high each player jumped. Each player’s jumping height is
given below in inches:
Pluto
Omega II
Beta Super
Delta
Gamma
29.1
29.2
28.5
28.4
27.7
29.8
29.1
28.9
28.0
27.9
30.0
28.8
29.2
28.8
28.0
29.0
28.7
28.3
29.0
28.2
31.1
28.8
30.0
28.9
28.0
Assignment:

3. To complete this Assignment, submit by Day 7 answers to the
following. Use SPSS to compare the means of the scores of
these five shoes with a one-way ANOVA. Save and submit both
your SPSS data file and your output.
· Before comparing the scores with an ANOVA, state your null
and alternative hypotheses in words (not formulas).
· Identify the independent and dependent variables.
· Name the levels in your identified factor.
· State the within-group degrees of freedom and explain how
you calculate it.
· State the between-group degrees of freedom and explain how
you calculate it.
· Identify the obtained F value.
· Identify the p value.
· Explain whether the F test is significant. Explain how you
know and what it tells you.
· Explain what you can conclude about the effect of shoe choice
on vertical lift (jumping height).
· Should you conduct a post hoc test? Why or why not? If yes,
conduct a Tukey HSD post hoc analysis. Explain what the
results tell you about type of shoe choice and vertical lift.
· Submit three documents for grading: your text (Word)
document with your answers and explanations to the application
questions, your SPSS Data file, and your SPSS Output file.
· Provide an APA reference list.
References
Week 5 Learning Resources
This page contains the Learning Resources for this week. Be
sure to scroll down the page to see all of this week's assigned

4. Learning Resources. To access select media resources, please
use the media player below.
Required Resources
Readings
· Heiman, G. (2015). Behavioral sciences STAT 2 (2nd ed).
Stamford, CT: Cengage.
· Chapter 11, “Hypothesis Testing Using the One-Way Analysis
of Variance” (pp.184-199)
· Chapter 11 Review Card p. (11.4)
Media
· Laureate Education (Producer). (2013a). Computing ANOVAs
and post hoc testing [Video file]. Retrieved from Laureate
MyMedia player. (PSYC 3002/PUBH 5003)
Note: The approximate length of this media piece is 11 minutes.
This video demonstrates how to conduct an ANOVA test and a
post hoc test in SPSS.
Accessible player
· StatsLectures.com. (2010). One-way ANOVA [Video file].
Retrieved from
http://www.youtube.com/watch?v=51QZa7b0OzkNote: The
approximate length of this media piece is 7 minutes.
This video steps through a one-way ANOVA test. This video
includes calculations of degrees of freedom and test statistics.
Optional Resources
· StatisticsLectures.com. (2012b). Post-hoc test for one-way
ANOVA [Video file]. Retrieved from
http://statisticslectures.com/topics/posthoconewayanova/#video
Note: The approximate length of this media piece is 6 minutes.
This video steps through Tukey and Scheffe post hoc tests by
hand.
Please proceed to the Discussion.

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Week 5 Discussion
Statistics and Advertising
In Week 4, you explored t tests, which allowed you to compare
a sample to a population or compare two groups to one another.
You analyzed a study about how visualization techniques impact
how long it takes people with insomnia to fall asleep. But what
if you want to compare the effectiveness of more than two types
of insomnia treatments? Analysis of variance, or ANOVA,
allows you to do just that—compare multiple groups (called
levels) based on an independent variable (called a factor). So in
a study about insomnia treatments, you might compare a group
that receives muscle relaxation training to a second group that
receives visualization training and, finally, to a third group that
receives deep breathing training. An ANOVA will allow you to
compare all of the levels at once to see if, in general, the type
of treatment influences how long it takes to fall sleep. Post hoc
analyses can provide even more information by identifying
which specific groups differ from one another, showing you
which specific treatments are more effective than others.
In this Discussion you will use your knowledge of one-way
ANOVAs to evaluate a research study scenario and make

6. suggestions about what could be done to gain even better
information.
Scenario:
The Alpha Shoe Company’s advertising department wants to
publish an ad about a new basketball shoe it claims will enable
athletes to jump higher. Alpha attributes this increase in lift to a
new sole design, core, and tread.
An independent testing institute conducted a study on the shoe,
called the “Pluto,” to determine if it really does result in higher
jumping heights, in comparison to four other shoes. Five groups
of four professional basketball players tested the shoes. The
mean jumping height for each shoe was reported as follows:
1. Pluto: 29.3 inches
2. Omega II: 29.0 inches
3. Beta Super: 28.7 inches
4. Delta: 28.4 inches
5. Gamma: 28.0 inches
Alpha did not report any inferential statistics in their ad, but it
stated, “As you can clearly see, our Pluto shoes offer an obvious
vertical lift advantage in comparison to other leading brands.
Even a fraction of an inch can make all the difference in a big
game!” Being the good consumer of research that you now are,
what questions would you have after reading Alpha Shoe
Company's ad?
Post by Day 3 your answers to the following questions:
What questions about the statistics do you have after reading
the ad?
What was done correctly with regards to how the researchers
analyzed the data?
What criticisms do you have of the company's statistical
approach?
How would you use ANOVA to follow up on the research
institute’s preliminary results presented here?
Be sure to support each of your answers with evidence and
citations from the Learning Resources.
Respond by Day 6 to at least one of your peers’ posts in one of

7. the following ways:
· Support or challenge key points of the explanations provided.
· Support or challenge key points of a follow-up study
recommendation and provide additional information to consider.
References
Week 5 Learning Resources
This page contains the Learning Resources for this week. Be
sure to scroll down the page to see all of this week's assigned
Learning Resources. To access select media resources, please
use the media player below.
Required Resources
Readings
· Heiman, G. (2015). Behavioral sciences STAT 2 (2nd ed).
Stamford, CT: Cengage.
· Chapter 11, “Hypothesis Testing Using the One-Way Analysis
of Variance” (pp.184-199)
· Chapter 11 Review Card p. (11.4)
Media
· Laureate Education (Producer). (2013a). Computing ANOVAs
and post hoc testing [Video file]. Retrieved from Laureate
MyMedia player. (PSYC 3002/PUBH 5003)
Note: The approximate length of this media piece is 11 minutes.
This video demonstrates how to conduct an ANOVA test and a
post hoc test in SPSS.
Accessible player
· StatsLectures.com. (2010). One-way ANOVA [Video file].
Retrieved from

8. http://www.youtube.com/watch?v=51QZa7b0OzkNote: The
approximate length of this media piece is 7 minutes.
This video steps through a one-way ANOVA test. This video
includes calculations of degrees of freedom and test statistics.
Optional Resources
· StatisticsLectures.com. (2012b). Post-hoc test for one-way
ANOVA [Video file]. Retrieved from
http://statisticslectures.com/topics/posthoconewayanova/#video
Note: The approximate length of this media piece is 6 minutes.
This video steps through Tukey and Scheffe post hoc tests by
hand.
Please proceed to the Discussion.
Print Page
Increase text size
Decrease text size
Print Page