Correlation Analysis

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Consider how a correlation analysis will effectively allow you to answer relevant research questions.

Review the video, Correlation and Introduction to Regression.

Review the following tutorials from the Green and Salkind text:

oLesson 16A, “Creating an SPSS Graph”

oLesson 16B, “Creating an SPSS Chart”

oLesson 31, "Pearson Product-Moment Correlation Coefficient"

oLesson 32, "Partial Correlations"

oLesson 33, "Bivariate Linear Regression"

oLesson 34, "Multiple Linear Regression"

oLesson 35, "Discriminant Analysis"

Review the Assignment Exemplar document provided.

Submit a 5- to 6-page paper using the Assignment Exemplar.

Your paper must include the following elements:

An APA Results section for the Pearson’s correlation test which includes all scale variables. (See an example of an APA Results Section in Lesson 31 of the Green and Salkind text.)

The critical elements of your SPSS output, including:

oA properly formatted research question

oA properly formatted H10 (null) and H1a (alternate) hypothesis

oA descriptive statistics narrative and properly formatted descriptive statistics table (see page 189 of the Green and Salkind text)

oA properly formatted scatterplot graph (see pages 65-66 and page 191 of the Green and Salkind text)

oA properly formatted inferential APA Results Section (see pages 191-192 of the Green and Salkind text)

oAn appendix including the SPSS output generated for descriptive and inferential statistics (see SPSS output on page 189 of the Green and Salkind text)

Finally, explain the differences and similarities of Bivariate correlation analysis and Bivariate regression analysis.

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To prepare for this Assignment: • Consider how a correlation analysis will ef f ectively allow you to answer relevant research questions. • Review the video, Correlation and Introduction to Regression. • Review the f ollowing tutorials f rom the Green and Salkind text: • o Lesson 16A, “Creating an SPSS Graph” o Lesson 16B, “Creating an SPSS Chart” o Lesson 31, "Pearson Product-Moment Correlation Coef f icient" o Lesson 32, "Partial Correlations" o Lesson 33, "Bivariate Linear Regression" o Lesson 34, "Multiple Linear Regression" o Lesson 35, "Discriminant Analysis" Review the Assignment Exemplar document provided. Submit a 5- to 6-page paper using the Assignment Exemplar. Your paper must include the f ollowing elements: • An APA Results section f or the Pearson’s correlation test which includes all scale variables. (See an example of an APA Results Section in Lesson 31 of the Green and Salkind text.) • The critical elements of your SPSS output, including: o A properly f ormatted research question o A properly f ormatted H10 (null) and H1a (alternate) hypothesis o A descriptive statistics narrative and properly f ormatted descriptive statistics table (see page 189 of the Green and Salkind text) o A properly f ormatted scatterplot graph (see pages 65-66 and page 191 of the Green and Salkind text) o A properly f ormatted inf erential APA Results Section (see pages 191-192 of the Green and Salkind text) o • An appendix including the SPSS output generated f or descriptive and inf erential statistics (see SPSS output on page 189 of the Green and Salkind text) Finally, explain the dif f erences and similarities of Bivariate correlation analysis and Bivariate regression analysis. The page should have the following criteria’s. Complete Student submits a 5- to 6-page paper presenting the results of running a correlation analysis. Research Question Student submits a properly formatted research question. Hypothesis Student submits a properly formatted null and alternate hypothesis. Descriptive Statistics Student submits a descriptive statistics narrative and properly formatted descriptive statistics table. Scatterplot Student submits a properly formatted scatterplot graph. Results Section Student submits a properly formatted inferential APA Results Section. Appendix Student submits an appendix including the SPSS output generated for descriptive inferential statistics. Bivariate Student explains the differences and similarities of Correlation and Bivariate correlation analysis and Bivariate regression Regression analysis. Week Six Correlation Exemplar Template Research Question Do men who have a positive self-concept in one life domain tend to have a positive self-concept in other domains, and conversely, do men who have a negative selfconcept in one domain tend to have a negative self-concept in other domains? Hypotheses H0: Men who have a positive self-concept in one life domain do not tend to have a positive self-concept in other domains, and conversely, men who have a negative selfconcept in one domain do not tend to have a negative self-concept in other domains. H1: Men who have a positive self-concept in one life domain tend to have a positive self-concept in other domains, and conversely, men who have a negative selfconcept in one domain tend to have a negative self-concept in other domains. Results Correlation coefficients were computed among five self-concept scales. Using the Bonferroni approach to conrol for Type 1 error across 10 correlations, a p value of less than .005 (.05/10) was required for significance. Table 1 depicts the descriptive statistics of the study variables. The results of the correlation analyses presented in Table 2 show that 7 out of the 10 correlations were statistically significant and were greater than or equal to .35. The correlation of scholarly knowledge self-concept with the other selfconcept measures tended to be lower and not significant. In general, the results suggest that if men say that they have a positive self-concept in one domain, they tend to state that they have a positive self-concept in other domains, except for scholarly knowledge. The appendix depicts the SPSS correlation output generated by the analysis. Figure 1 depicts a scatterplot matrix of the variables. Table 1 Descriptive Statistics for the Study Variables (N = 80) Variable M SD Intimate Relationships 50.48 6.18 Friends 53.98 6.91 Common Sense 52.23 7.32 Academic Intelligence 47.94 9.17 General 53.79 4.90 Table 2 Correlations Among the Five Self-Concept Scales (N = 80) Self-Concept Scales Intimate Relationships .55 Common Sense .35 Academic Intelligence .22 Friends General .39 - Friends .55 - .46 .24 .55 Common Sense .35 .46 - .40 .53 Academic Intelligence .22 .24 .40 - .26 General .39 .55 .53 .26 - Intimate Relationships Figure 1. Scatterplot matrix Appendix Descriptive Statistics Mean Intimate Relationships Friends Common Sense Academic Intelligence General 50.48 53.98 52.23 47.94 53.79 Std. Deviation 6.183 6.910 7.323 9.168 4.890 N 80 80 80 80 80 Correlations Intimate Relationships Pearson Correlation Intimate Relationships Friends Common Sense Academic Intelligence General 1 Sig. (2-tailed) N Pearson Correlation Sig. (2-tailed) N Pearson Correlation Sig. (2-tailed) N Pearson Correlation Sig. (2-tailed) N Pearson Correlation Sig. (2-tailed) N **. Correlation is significant at the 0.01 level (2-tailed). *. Correlation is significant at the 0.05 level (2-tailed). Friends Common Sense Academic Intelligence General .552** .351** .218 .393** .000 .001 .052 .000 80 1 80 .462** .000 80 1 80 .244* .029 80 .400** .000 80 1 80 .546** .000 80 .525** .000 80 .261* .019 80 1 80 .552** .000 80 .351** .001 80 .218 .052 80 .393** 80 .462** .000 80 .244* .029 80 .546** .000 .000 .000 .019 80 80 80 80 80 .400** .000 80 .525** 80 .261* 80
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