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Statistics for Nursing Research: A Workbook for Evidence-Based Practice, 2nd Edition

Exercise 33: Calculating Analysis of Variance (ANOVA) and Post Hoc Analyses Following ANOVA

The following questions refer to the section called “Data for Additional Computational Practice” in Exercise 33 of Grove & Cipher, 2017.

1. Do the data meet criteria for homogeneity of variance? Provide a rationale for your answer.
2. Yes, the Levene’s test for equality of variance yielded a p-value>0.05, indicting no significant difference in variance between the groups.
3. Yes, the Levene’s test for equality of variance yielded a p-value<0.05, indicting a significant difference in variance between the groups.
4. No, the Levene’s test for equality of variance yielded a p-value>0.05, indicting no significant difference in variance between the groups.
5. No, the Levene’s test for equality of variance yielded a p-value<0.05, indicting a significant difference in variance between the groups.

Answer: Choose an item.

2. If calculating by hand, draw the frequency distribution of the dependent variable, hours worked at a job. What is the shape of the distribution? If using SPSS, what is the result of the Shapiro-Wilk test of normality for the dependent variable?

1. The graph is not normal and the S-W test is significant
2. The graph is approximately normal or the distribution did not significantly deviate from the normality.

Answer: Choose an item.

3. What are the means for three groups’ hours worked on a job?

26. 26.2, 15.0, and 14.2, respectively.
27. 26.4, 15.1, and 14.4, respectively.

26. 6, 15.2, and 14.6, respectively.
27. 6, 15.4, and 14.8, respectively.

Answer: Choose an item.

4. What are the F value and the group and error df for this set of data?

6. The F value is 6.16, the numerator (group) df is 2 and the denominator (error) df is 12. The correct way to report this with APA format is: F(2,12) = 6.16.
7. The F value is 7.16, the numerator (group) df is 3 and the denominator (error) df is 13. The correct way to report this with APA format is: F(3,13) = 7.16.
8. The F value is 8.16, the numerator (group) df is 3 and the denominator (error) df is 14. The correct way to report this with APA format is: F(4,14) = 8.16.
9. The F value is 9.16, the numerator (group) df is 3 and the denominator (error) df is 15. The correct way to report this with APA format is: F(5,15) = 9.16.

Answer: Choose an item.

5. Is the F significant at α = 0.05? Specify how you arrived at your answer.
6. Yes, because the F value is larger than the critical value.
7. Yes, because the F value is smaller than the critical value.
8. No, because the F value is larger than the critical value.
9. No, because the F value is smaller than the critical value.

Answer: Choose an item.

6. If using SPSS, what is the exact likelihood of obtaining an F value at least as extreme as or as close to the one that was actually observed, assuming that the null hypothesis is true?
7. 0%
8. 2%
9. 4%
10. 6%

Answer: Choose an item.

7. Which group worked the most weekly job hours post-treatment? Provide a rationale for your answer.
8. Supported Employment, because it had the highest mean.
9. TAU Observational, because it had the highest mean.
10. TAU Randomized, because it had the highest mean.
11. It could not be decided.

Answer: Choose an item.

8. Write your interpretation of the results as you would in an APA-formatted journal.

Enter your answer here and select the “Completed” choice in the dropdown menu. If more space is needed, please hit the Enter key from your computer.

Answer:   Choose an item.

9. Is there a difference in your final interpretation when comparing the results of the LSD post hoc test versus Tukey HSD test? Provide a rationale for your answer.

1. The final interpretation would have changed, both tests confirmed the same conclusion.
2. The final interpretation would not have changed. Both tests supported the same conclusions.

Answer: Choose an item.

10. If the researcher decided to combine the two Treatment as Usual groups to represent an overall “Control” group, then there would be two groups to compare: Supported Employment versus Control. What would be the appropriate statistic to address the difference in hours worked between the two groups? Provide a rationale for your answer.

1. Yes, both ANOVA and t-test would appropriate and would yield the same conclusion (p-value would be the same).
2. No, not all of the two tests would be appropriate and the two analyses would yield different conclusions.

Answer: Choose an item.

Please do not add or delete a row or column for the following grading table. If you have a problem with the drop-down lists, then you can enter your answers in the second column.  If you use the drop-down lists, the instructor will update your answers in the table. Thanks