# Assignment 1: SPSS Factor Analysis

| February 21, 2019

Planning Multiple Regression Analysis

Factor analysis is an incredibly powerful statistical procedure useful in exploratory research, confirmatory research, and test construction. Prior to the development of computers, the effort required to perform these analyses was heroic. Now, with computers and statistical packages, such as Statistical Package for the Social Sciences (SPSS), this powerful procedure is available to any of us who come to understand its role and the underlying statistical assumptions and choices we make in using this type of analysis.

Use the Discussion Area to ask for help in completing the tasks from your classmates and the facilitator; likewise, offer your suggestions to those asking for help. Participating in this community of scholars will help you clarify processes, solve problems, and gain the immediate reinforcement you need to quickly solidify gains that youâ€™re making in working with multiple variables and advanced statistics.

Open the SPSS data file created in M5: Assignment 1.

Scenario:

While developing your new Self-Efficacy for Depression scale, you have been considering some possibilities: Global Self-Efficacy may be related to IQ and years of completed education, while Self-Efficacy Regarding Depression in the Future may be associated with the age at which one is first diagnosed and total number of hospitalizations for depression, and Self-Efficacy Regarding Depression in the Immediate/Present Situation may be related to BDI-II score at the time of intake.

You are now ready to use factor analysis as a tool for the development and evaluation of your scale.

A. You have predicted that there are three subdimensions/domains being measured in the scale: Global Self-Efficacy, Self-Efficacy Regarding Ability to Comply with Treatment and/or Use Other Skills to Cope with Depression in the Immediate/Present Situation (within the next week), and Self-Efficacy Regarding Ability to Comply with Treatment and/or Use Other Skills to Cope with Depression in the Future (during the next year). You believe that each of these is a unique aspect of Self-Efficacy, in that some people may have fairly positive general self-efficacy, but lack a sense of being able to manage their depression, while others may have a better sense of immediate self-efficacy regarding their depression while hospitalized and under intense support, but not have this when considering returning back to their usual lifestyle over the next year, etc. You will use factor analysis to evaluate the factor structure of your new Self-Efficacy Scale for Depression.

• Conduct each of the following analyses on your data:
• Principal components extraction: No rotation
• Principal components extraction: Varimax rotation
• Principal components extraction: Oblimin rotation
• Report the results of prescreens of the data for missing data, multivariate outliers (Mahalanobis distance), univariate normality, and linearity (bivariate scatter plots). Include any necessary transformations or other decisions. Include tests for both multivariate normality and sampling adequacy as part of the factor analysis.
• Report the results of the three factor analyses by cutting and pasting tables and plots from your SPSS output into a document using Microsoft Word. Put the following tables or graphs in the Appendix section of your paper:
• Descriptive statistics
• Correlation coefficient table
• Scree plot
• Communalities
• Total variance explained
• Summarize the results of each analysis, interpreting the resulting factors using factor loadings. How do the results differ depending on whether you use no rotation, Varimax rotation, or Oblimin rotation?
• Using the results of your Varimax rotation, compute and save the resulting factor scores. (These will be used in your next analysis.)

B. Based on the factor structure that you discovered in your first analysis, conduct a second factor analysis to explore possible relationships between factor scoreson the Self-Efficacy Scale for Depression (total score and/or domain factor scores, depending on the results of your first analysis) and the following variables: BDI-II at Time of Intake, Number of Prior Hospitalizations for Depression, Age of First Diagnosis of Depression, IQ, Number of Years of Completed Education.

Conduct a factor analysis using principal components extraction with Varimax rotation.
Report the results of the factor analysis by cutting and pasting tables and plots from your SPSS output into a document using Microsoft Word. Put the following tables or graphs in the Appendix section of your paper:

• Descriptive statistics
• Correlation coefficient table
• Scree plot
• Communalities
• Total variance explained

Interpret the results of your Varimax rotation.
Save the SPSS file as R7034_M6_A1_LastName_FirstInitial.sav.

Create a response (plus Appendix) in Microsoft Word. Name your file R7034_M6_A1_LastName_FirstInitial.doc. Submit your response to the
Discussion Area by the due date assigned.

All written assignments and responses should follow APA rules for attributing sources.

Assignment 1 Grading CriteriaMaximum PointsComputed and reported the results of prescreens for the missing data, multivariate outliers, univariate normality, and linearity.8Accurately reported the results of analyses, including descriptive statistics for each analysis, screen plot, communalities, total variance explained, and the unrotated and rotated components matrix in the Appendix.16Presented an informative narrative summary of the three analyses with interpretation of the resulting factors using factor loadings and a comparison of the results of the three methods.16Accurately computed factor scores from the resulting Varimax solution.4Accurately reported the results of the Varimax rotation analysis, including descriptive statistics, scree plot, communalities, total variance explained, and the unrotated and rotated components matrix in the Appendix.16Presented an informative narrative summary of the analysis with interpretation of the resulting factors using factor loadings.16Participated actively in the Discussion Area by asking for or providing clarification of a response, addressing gaps, offerings suggestions, and asking for help, as needed.8Wrote in a clear, concise, and organized manner; demonstrated ethical scholarship in accurate representation and attribution of sources, displayed accurate spelling, grammar, and punctuation.4Total:88Rubrics

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