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Research questions: Is there a statistically significant change in participants’ average GAF (global mental health) score over time (baseline, 3 months, 6 months) depending on condition (control, intervention)? Output 1 – Mauchly’s Test of Sphericity 1. What is your decision regarding Mauchly’s test of sphericity? Do you reject or fail to reject the null that the variances are equal across the levels? Support your decision with statistics. (3 points) Your Answer: 2. Based on Mauchly’s test results, which row of results will you interpret for the Mixed ANOVA? Why? Support your decision with statistics. (2 points) Your Answer: Output 2 – Within-Subjects Effect 3. Do you reject or fail to reject the null hypothesis for the test of within-subjects? Support your decision with statistics. (3 points) Your Answer: 4. What percentage of variance in the dependent variable does the within-subjects main effect account for? Interpret in a complete sentence. (2 points) Your Answer: 5. Was there sufficient observed power? (1 point) Your Answer: Output 3 – Between-Subjects Effect 6. Did you reject or fail to reject the null hypothesis for the test of between-subjects? Support your decision with statistics. (3 points) Your Answer: 7. What percentage of variance in the dependent variable does the between-subjects main effect account for? Interpret in a complete sentence. (2 points) Your Answer: 8. Was there sufficient observed power? (1 point) Your Answer: Output 4 – Interaction Effect (Refer to Output 2 above) 9. Did you reject or fail to reject the null hypothesis for the interaction effect? Support your decision with statistics. (3 points) Your Answer: 10. What percentage of variance in the dependent variable does the interaction effect account for? Interpret in a complete sentence. (2 points) Your Answer: 11. Was there sufficient observed power? (1 point) Your Answer: Output 5 – Post Hocs 12. Do the two groups statistically significantly differ at Time 1, Time 2, and/or Time 3? Use statistics to support your conclusion. (2 points) Your Answer: Output 6 – Interaction Plot 13. Interpret the interaction plot. Describe what is observed (or not observed) in the plot. Do not simply state that there was an interaction or not an interaction. Describe what is seen here. If an interaction exists, is it ordinal or disordinal? (3 points) Your Answer: Conclusion 14. What would you share with the researcher regarding his or her treatment/intervention? Is there support that the outcome variable differed over time based on whether participants were in the intervention or control group? (3 points) Your Answer: Do the comparison and intervention group statistically significantly differ in their average depression symptomatology scores (FARS depression score, FARS anxiety score) at 6 months post treatment? Output 1 – Box’s Test 1. Is the assumption of homogeneity of variance-covariance matrix met? That is, are the matrices equal across the IV? Use statistics to support your conclusion. (3 points) Your Answer: Output 2 – Bartlett’s Test of Sphericity and Bi-Variate Correlations 2. Is there sufficient linear correlation among the dependent variables to treat them as a composite dependent variable in the MANOVA? Use statistics from the correlation table and Bartlett’s test of sphericity to support your conclusion. (3 points) Your Answer: Output 3 – MANOVA output 3. Which statistic should we use in the MANOVA table? Why? (2 points) Your Answer: 4. Do you reject or fail to reject the null hypothesis that the two groups differed on the composite dependent variable? Use statistics to support your conclusion. (3 points) Your Answer: 5. What percentage of variance in the composite dependent variable is accounted for by the independent variable? (2 points) Your Answer: 6. What percentage of variance is unaccounted for? What statistic did you use to identify the percentage of unaccounted variance? (2 points) Your Answer: 7. What is the relationship between Wilk’s Lambda and partial eta square? (2 points) Your Answer: Output 4 – Post Hocs 8. What are the results for each dependent variable? Do the two groups differ on one or both dependent variables? (2 pts. each – 6 points) Your Answer: Output 5 – Post Hocs 9. Which group has a LOWER average depression score at 6 months? (1 point) Your Answer: 10. Which group has a LOWER average anxiety score at 6 months? (1 point) Your Answer: Output 6 – Estimated Marginal Means 11. Interpret the meaning of the confidence intervals reported here in general – what do these intervals tell us? (2 points) Your Answer: 12. Do the 95% confidence interval bands overlap for depression? Why or why not? (2 points) Your Answer: 13. Do the 95% confidence interval bands overlap for anxiety? Why or why not? (2 points) Your Answer: Article Assignment 2 – MANOVA Directions: You can work independently or in pairs on this assignment. There are two parts to this assignment: Part 1 asks you questions related to the data analyses and results of a scholarly journal article employing a MANOVA Part 2 asks you to generate your own research questions requiring a Mixed ANOVA and one-way MANOVA. Article: Mahmoodabadi et al. (2012) 1. What research question did the researchers test using a MANOVA? (2 pts.) 2. What was the composite DV? (1 pt.) 3. Did the authors provide evidence to treat the DV as a composite? (2 pts.) 4. List the independent variable(s) in the model. (2 pts.) 5. In 1-2 sentences, explain why MANOVA was the correct analysis of choice. (2 pts.) 6. What is the advantage of running a MANOVA compared to a series of ANOVAs? (2 pts.) 7. Why do the authors test if there is a difference between the experimental and control group on the dimensions of Family function (p. 260)? (2 pts.) 8. Did the distribution of scores meet the assumption of normality? Provide evidence to support your answer. (2 pts.) 9. At what significance level did the experimental and control group significantly differ on the DVs? (1 pt.) 10. Why are the experimental group’s adjusted mean values in table 2 lower than the control group if they were the group who significantly improved? (2 pts.) 11. Was the observed power high enough to detect statistical significance? That is, did it meet the acceptable criterion? Provide evidence to support your answer. (2 pts.) 12. In 3-5 sentences, explain two ways this research contributed to the field. (3 pts.) PART 3 (13 pts.) Generate Your Own Research Questions Note. Research questions in this section must be your own meaning not already used in the text, discussed in class, or from an existing scholarly source. 1. (a) State one research question from your area of interest that could be answered with a Mixed ANOVA (2 pts.). Include one IV that is a between subjects and at least 2 or more time points. Identify the IV (1 pt.), dependent variable (the repeated measures variable) (1 pt.), and types of variables in your research question (2 pts.). Research Question: IV and scale(s) of measurement: Repeated measure and scale of measurement: 2. (a) State one research question from your area of interest that could be answered with a one-way MANOVA (2 pts.). Identify the IV (1 pt.), dependent variables (2 pts.), and types of variables in your research question (2 pts.). Research Question: IV and scale of measurement: DVs and scales of measurement:

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1. What research question did the researchers test using a MANOVA? (2 pts.)
Effectiveness of retraining attribution styles on control and treatment groups of couples which applicants for divorce, in several family functioning aspects pre-test and post-test.

2. What was the composite DV? (1 pt.)
Pre-test and post-test results of a questionnaire, filled by participants of both groups.

3. Did the authors provide evidence to treat the DV as a composite? (2 pts.)
No. only indication of normality of the IV's. Also, there's no reference to Bartlett's test that test's linearity.

4. List the independent variable(s) in the model. (2 pts.)
Control/Treatment group (only 1 IV).

5. In 1-2 sentences, explain why MANOVA was the correct analysis of choice. (2 pts.)
It has 2 unrelated groups...
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