# Correlation Application Step 1: Write Section 1 of the DAA: The Data Analysis Plan

Name the four variables used in this analysis and whether they are ca

##### Step 1: Write Section 1 of the DAA: The Data Analysis Plan

- Name the four variables used in this analysis and whether they are categorical or continuous.
- State a research question, null hypothesis, and alternate hypothesis for total and final.
- State a research question, null hypothesis, and alternate hypothesis for gpa and quiz1.

##### Step 2: Write Section 2 of the DAA: Testing Assumptions

Test for one of the assumptions of correlation – normality.

- Create a descriptive statistics table in SPSS to assess normality. This table should include the four variables named above.
- Paste the table in the DAA.
- Interpret the skewness and kurtosis values and how you determined whether the assumption of normality was met or violated.

##### Step 3: Write Section 3 of the DAA: Results and Interpretation

- Paste the intercorrelation matrix (SPSS Correlation table) for the four variables into the document.
- Below the output, first report the total-final correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis for this correlation.
- Second, report the gpa-quiz1 correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis for this correlation.

##### Step 4: Write Section 4 of the DAA: Statistical Conclusions

- Provide a brief summary of your analysis and the conclusions drawn about correlations.
- Analyze the limitations of the statistical test and/or possible alternative explanations for your results.

##### Step 5: Write Section 5 of the DAA: Application

Analyze how you might use correlations in your field of study.

- Name two variables that would work for such an analysis and why studying the relationship may be important to the field or practice.

Submit your DAA template as an attached Word document in the assignment area.

#### Competencies Measured

By successfully completing this assignment, you will demonstrate your proficiency in the following course competencies and assignment criteria:

**Competency 1: Analyze the computation, application, strengths, and limitations of various statistical tests.**- Analyze statistical assumptions.

**Competency 2: Analyze the decision-making process of data analysis.**- Articulate the data analysis plan.

**Competency 3: Apply knowledge of hypothesis testing.**- Interpret statistical results and hypotheses.

**Competency 4: Interpret the results of statistical analyses.**- Explain statistical conclusions, the limitations of the test, and possible alternative explanations.

**Competency 6: Apply the results of statistical analyses (your own or others) to your field of interest or career.**- Analyze the potential applications of the test in the field and their implications.

**Competency 7: Communicate in a manner that is scholarly, professional, and consistent with the expectations for members in the identified field of study.**- Communicate in a manner that is scholarly, professional, and adheres to APA style and formatting.

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**Correlations**

**DAA Section 2: Testing Assumptions**

Open **grades.sav** in SPSS.

On the **Analyze** menu, point to **Descriptive Statistics** and select **Descriptives…**

Select **quiz1**. Select the arrow to move **quiz1** to the **Variables** box.

Select **gpa**. Select the arrow to move **gpa** to the **Variables** box.

Select **total**. Select the arrow to move **total** to the **Variables** box.

Select **final**. Select the arrow to move **final** to the **Variables** box.

Select **Options…**

Select **Kurtosis** and **Skewness**. Select **Continue**.

Press **OK**.

Copy and paste the table into DAA Section 2.

Below the output, discuss the skewness and kurtosis values and how you determined whether the assumption of normality was met or violated.

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**DAA Section 3: Intercorrelation Matrix**

On the **Analyze** menu, scroll down to **Correlate** and select **Bivariate…**

Select **quiz1**. Select the arrow to move **quiz1** to the **Variables** box.

Select **gpa**. Select the arrow to move **gpa** to the **Variables** box.

Select **total**. Select the arrow to move **total** to the **Variables** box.

Select **final**. Select the arrow to move **final** to the **Variables** box.

Press **OK**.

Copy and paste the **intercorrelation matrix** into DAA Section 3.

Below the output, first report the total-final correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis for this correlation. Second, report the gpa-quiz1 correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis

DAA Sections 2 and 3 should look like the next page.

**Testing Assumptions**

Interpret the skewness and kurtosis values and how you determined whether the assumption of normality was met or violated.

**Results & Interpretation**

Below the output, first report the total-final correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis for this correlation. Second, report the gpa-quiz1 correlation including degrees of freedom, correlation coefficient, and p value. Specify whether or not to reject the null hypothesis for this correlation.

__SCREENSHOTS TAKEN FROM SPSS (PC) VERSION 28.__

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