# Week 5 Assignment Application: ANOVA Study: The Alpha Shoe Company and Discussion

August 30, 2017

Question
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 ttest, 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 pvalue.

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.

Provide an APA reference list.

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.15pt;=”” 0in;=””>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

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

Note: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

Note:The approximate length of this media piece is 6 minutes.

This video steps through Tukey and Scheffe post hoc tests by hand.

Week 5 Discussion

In Week 4, you explored ttests, 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 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:

Pluto: 29.3 inches

Omega II: 29.0 inches

Beta Super: 28.7 inches

Delta: 28.4 inches

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?

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 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.

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