1. The following data summarize the results from an independent-measures study

comparing three treatment conditions.

Treatment

I II III

0 2 4 N=18

0 3 2 G=36

0 1 4 ∑X^{2}=114

3 3 3

0 2 4

0 1 4

M=0.5 M=2 M=3.5

T=3 T=12 T=21

SS=7.5 SS=4 SS=3.5

a. Use an ANOVA with α=.05 to determine whether there are any

significant differences among the three treatment means.

b. Calculate η^{2} to measure the effect size for this study.

2. The following data summarize the results from an independent-measures study

comparing three treatment conditions.

Treatment

I II II

4 1 0 N=12

6 4 2 G=36

3 5 0 ∑X^{2}=164

7 2 2

M=5 M=3 M=1

T=20 T=12 T=4

SS=10 SS=10 SS=4

a. Calculate the sample variances for each of the three samples.

b. Use an ANOVA with α=.05 to determine whether there are any significant differences among the three treatment means.

3. The following values are from an independent-measures study comparing three treatment conditions.

Treatment

I II III

n=10 n=10 n=10

SS=63 SS=66 SS=87

a. Compute the variance for each sample.

b. Compute MS_{within} which would be the denominator of the F-ratio for an ANOVA.

Because the samples are all the same size, you should find that MS_{within} is equal to the average of the three sample variances.

4. The following summary table presents the results from an ANOVA comparing four treatment conditions with n=12 participants in each condition. Complete all missing values. (*Hint*: Start with the *df** *column.)

Source SS df MS

Between Treatments _____ _____ _____ F = 2.50

Within Treatments 88 _____ _____

Total _____ _____

5. One possible explanation for why some birds migrate and others maintain year round residency in a single location is intelligence. Specifically, birds with small brains, relative to their body size, are simply not smart enough to find food during the winter and must migrate to warmer climates where food is easily available (Sol, Lefebvre, & Rodriguez- Teijeiro, 2005). Birds with bigger brains, on the other hand, are more creative and can find food even when the weather turns harsh. Following are hypothetical data similar to the actual results. The numbers represent relative brain size for the individual birds in each sample.

Non-Migrating Short-Distance Migrants Long Distance Migrants

18 6 4 N=18

13 11 9 G=180

19 7 5 ∑X^{2}=2150

12 9 6

16 8 5

12 13 7

M=15 M=9 M=6

T=90 T=54 T=36

SS=48 SS=34 SS=16

a. Use an ANOVA with α=.05 to determine whether there are any significant mean differences among the three groups of birds.

b. Compute η^{2}, the percentage of variance explained by the group differences, for these data.

c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

d. Use the Tukey HSD posttest to determine which groups are significantly different.

6. A published report of a repeated-measures research study includes the following description of the statistical analysis. “The results show significant differences among the treatment conditions, F(2,20) = 5.00, p< .05.”

a. How many treatment conditions were compared in the study?

b. How many individuals participated in the study?

7. A recent study examined how applicants with a facial blemish such as a scar or birthmark fared in job interviews (Madera & Hebl, 2011). The results indicate that interviewers recalled less information and gave lower ratings to applicants with a blemish. In a similar study, participants conducted computer-simulated interviews with a series of applicants including one with a facial scar and one with a facial birthmark. The following data represent the ratings given to each applicant.

Applicant

Participant Scar Birthmark No Blemish Person Totals

A 1 1 4 P = 6

B 3 4 8 P = 15 N = 15

C 0 2 7 P = 9 G = 45

D 0 0 6 P = 6 ∑X^{2} = 231

E 1 3 5 P = 9

M=1 M=2 M=6

T=5 T=10 T=30

SS=6 SS=10 SS=10

a. Use a repeated-measures ANOVA with α=.05 to determine whether there are significant mean differences among the three conditions.

b. Compute η^{2}, the percentage of variance accounted for by the mean differences, to measure the size of the treatment effects.

c. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.

8. The following data are from an experiment comparing three different treatment conditions:

A B C

0 1 2 N=15

2 5 5 ∑X^{2}=354

1 2 6

5 4 9

2 8 8

T=10 T=20 T=30

SS=14 SS=30 SS=30

a. If the experiment uses an *independent-measures design*, can the researcher conclude that the treatments are significantly different? Test at the .05 level of significance.

b. If the experiment is done with a *repeated-measures design*, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again.

9. The following summary table presents the results from a repeated-measures ANOVA comparing three treatment conditions with a sample of n=12 subjects. Fill in the missing values in the table. (*Hint*: Start with the *df* values.)

Source *SS* *df* *MS*

Between treatments _____ _____ 10 *F* = _____

Within treatments _____ _____

Between subjects _____ _____

Error 44 _____ _____

Total 106 _____

10. The following matrix presents the results from an independent-measures, two-factor study with a sample of n=10 participants in each treatment condition. Note that one treatment mean is missing. Factor B

B1 B2

A1

Factor A

A2

a. What value for the missing mean would result in no main effect for factor A?

b. What value for the missing mean would result in no main effect for factor B?

c. What value for the missing mean would result in no interaction?

Extra Credit (+1)

The following table summarizes the results from a two-factor study with 2 levels of factor A and 3 levels of factor B using a separate sample of n=11 participants in each treatment condition. Fill in the missing values. (*Hint*: Start with the *df* values.)

Source SS df MS

Between Treatments 124 ____

Factor A _____ _____ _____ F = 10

Factor B _____ _____ _____ F = _____

A X B Interaction 20 _____ _____ F = _____

Within Treatments _____ _____ 4

Total _____ _____

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

Professional and Experienced Academic Writers

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

24/7 Customer Support

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

How it works?

Follow these simple steps to get your paper done

Place your order

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Receive the final file

Once your paper is ready, we will email it to you.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

Essays

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.

Admissions

Admission Essays & Business Writing Help

An admission essay is an essay or other written statement by a candidate, often a potential student enrolling in a college, university, or graduate school. You can be rest assurred that through our service we will write the best admission essay for you.

Reviews

Editing Support

Our academic writers and editors make the necessary changes to your paper so that it is polished. We also format your document by correctly quoting the sources and creating reference lists in the formats APA, Harvard, MLA, Chicago / Turabian.

Reviews

Revision Support

If you think your paper could be improved, you can request a review. In this case, your paper will be checked by the writer or assigned to an editor. You can use this option as many times as you see fit. This is free because we want you to be completely satisfied with the service offered.