College of Doctoral Studies PSY 870: Module 5 Problem Set Anxiety and Country This study examined differences in anxiety level between an industrial country and a nonindustrial country. Anxiety is assessed three wayscognitive, affective, and behavioral with higher scores indicating higher levels of the anxiety dimensions. Directions: Using the SPSS data file for Module 5 (located in Topic Materials), answer the following questions. NOTE: Helpful hints are provided here for you to use while answering these questions. 1. What is the ONE independent variable in this study? What are the dependent variables? 2. Why is a one-way between-subjects MANOVA appropriate to use for this research design? HINT: Consider the number of IVs and the number of DVs for your answer. 3. Did you find any errors that the researcher made when setting up the SPSS data file (don't forget to check the variable view)? If so, what did you find? How did you correct it? HINT: YES! The Measures (for scale of measurement) is wrong for each of the 4 variables! You need to indicate what was wrong and what should be the correct measures. 4. Perform Initial Data Screening. What did you find regarding missing values, univariate outliers, multivariate outliers, normality? Although you are not asked to make adjustments, what should you consider when you find these kinds of outcomes? HINTS: For missing values, see Case Processing Summary Univariate outliers: inspect boxplots Multivariate outliers: Don't forget to create the Case ID variable to do this analysis. Then, perform a regression analysis with CaseID as the DV and Country as the IV in order to compute the Mahalanobis distance measures. Be sure to click Save when you are setting up the regression so the regression scores will be saved to a new variable (automatically named MAH_1). Then, Explore MAH_1 scores, remembering to check the \"Outliers\" box that is found with Plots. This will give you information about multivariate outliers. Normality: Examine the skewness and kurtosis values for each dependent variable: Examining the histograms Examine the Shapiro-Wilks' results 5. Perform a one-way between-subjects MANOVA on the data. Before interpreting the results of the MANOVA, check outcomes that test other assumptions for this statistic: equality of covariance matrices (see Box's Test) and sufficient correlation among the DVs (see Bartlett's Test of Sphericity). Also check the results of the Levene's Test of Equality of Error Variances to evaluate that assumption for the univariate ANOVAs that are run and show in the Tests of Between-Subjects Effects output. What have you found about whether the data meet these additional assumptions for the MANOVA and followup ANOVAs? HINTS: Be sure to read the instructions very carefully in the textbook for what to check to get these results for these tests of assumptions (e.g., you have to check Residual SSCP matrix within Options to get the results of the Bartlett's Test of Sphericity). Be sure to review what a statistically significant outcome means for each test: in some cases, it means a violation, but in others it means an assumption is met. 6. What is the outcome of the multivariate tests (which looks at the effects of the IV on all three DVs at the same time)? Given results of your tests for homogeneity of variancecovariance matrices for the dependent variables, is it more appropriate to use Wilks' lambda or Pillai's trace to interpret outcomes, or does it make a difference? Report either the Pillai's Trace or Wilks's Lambda for your results, as well as the associated F value and its statistical significance. Use the following format for notation: Pillai's Trace OR Wilks' lambda = ____; F(df, df) = ____, p = ____, 2= _____. What does this information tell you about the difference between the two countries on the linear combination (the variate) of the dependent variables? HINT: 2013. Grand Canyon University. All Rights Reserved. Here, and ONLY for a one-way MANOVA with only two groups for the IV, eta squared and partial eta squared are the same value; you can use the value given for partial eta squared in the SPSS results of the Multivariate Tests to be eta squared, 2, and save the step of hand calculating 2 .) 7. Given the results of the multivariate tests, is it OK now to move on to interpret the results of the Tests of Between-Subjects Tests? Why? Explain. If yes, what are the results and what do they mean? (Report each of the results using the format of F(df, df) = _____, p = _____ , 2 = _____ for each DV. ) 8. Citing the results of your statistical analyses, what is the conclusion you can draw (and support) regarding research question that was posed in this research (see problem statement)? HINT: Use the sample results write-up in the textbook to see what you should report and how to say it. Just substitute the correct language and values for the analyses you have done for this problem. 2013. Grand Canyon University. All Rights Reserved. College of Doctoral Studies PSY 870: Module 6 Problem Set Factorial (2 3) MANOVA This study investigates whether there are differences in the outcomes of three different treatments for anxiety. The treatment conditions that are compared are treatment with medication, treatment with psychotherapy, and placebo (inactive pills). In addition, we want to see if gender of the client moderates the effects of the treatment. Every participant had been diagnosed with similar types and severity of anxiety disorders when they entered the study. Each participant was randomly assigned only to one of the three treatment conditions. After 12-weeks of treatment (or placebo), all participants completed two questionnaires to measure worry and general emotion. The higher the scores on these measures, the higher the anxiety level of the participant. Directions: The factorial MANOVA will combine what you have learned previously about 1. Post hoc tests when you have more than two groups on an IV (one-way ANOVA), 2. Main effects and interactions (factorial ANOVA), and 3. Working with multivariate analyses of multiple DVs (one-way MANOVA). Using the SPSS data file for Module 6 (located in Topic Materials), answer the following questions: 1. What are the independent variables in this study? What are the dependent variables? 2. Why is a factorial MANOVA appropriate to use for this research design? 3. Did you find any errors that the researcher made when setting up the SPSS data file (don't forget to check the variable view)? If so, what did you find? How did you correct it? HINT: Yes, there are coding errors for Measures. 4. Perform Initial Data Screening. What did you find regarding missing values, univariate outliers, multivariate outliers, normality? HINT: Revisit instructions from last module's readings on how to compute Mahalanobis distance and then analyze for multivariate outliers. 5. Perform a factorial MANOVA on the data. Before interpreting the multivariate results of the MANOVA, check outcomes that test other assumptions for this statistic: equality of covariance matrices (see Box's Test) and sufficient correlation among the DVs (see Bartlett's Test of Sphericity). Also check the results of the Levene's Test of Equality of Error Variances to evaluate that assumption for the univariate ANOVAs that are run and show in the Tests of Between-Subjects Effects output. What have you found about whether the data meet these additional assumptions for the MANOVA and follow-up ANOVAs? Explain. HINTS: Once in the Options box, remember to check box for "Residual SSCP matrix" to get results for the Bartlett's test. Also, remember to ask for post hoc tests for Treatment because there are more than two conditions. Profile plots also help with visualizing interactions. 6. What are the outcomes of the multivariate tests (main effects and interaction)? Report either the Pillai's Trace or Wilks's Lambda for each result, as well as the associated Fvalue and its statistical significance. Use the following format for notation to report each result: Pillai's Trace OR Wilks' lambda = ____; F(df, df) = ____, p = ____. HINTS: Use Pillai's trace if there are problems with heterogeneity of variancecovariance matrices for the DVs. Otherwise, Wilks' lambda is fine. Eta squared cannot be calculated from the information provided in the multivariate tests results. 7. Given the results of the multivariate tests, would you now move on to interpret the results of the Tests of Between-Subjects Tests? If yes, what are the results and what do they mean? (Report each of the results using the format of F(df, df) = _____, p = _____ , 2 = _____.) 8. Because one IV has more than two conditions, you would need to do post hoc tests if the overall F-value was statistically significant. If so, what results did you find? 9. If you had a significant interaction effect, what follow-up tests do you need to perform to understand how gender moderates the effects of treatment? What are the results? 10. Citing the results of your statistical analyses, what is the conclusion you can draw (and support) regarding research question that was posed in this research (see problem statement)? 2013. Grand Canyon University. All Rights Reserved. HINT: Use the sample results write-up in the textbook to see what you should report and how to say it. Just substitute the correct language and values for the analyses you have done for this problem. 2013. Grand Canyon University. All Rights Reserved