You will analyze the following variables in the grades.sav data set:
- gender
- gpa
- total
- final
Step 1: Write Section 1 of the DAA.
- Provide the context of the grades.sav data set.
- Include a definition of the specified variables and corresponding scales of measurement.
- Indicate the type of correlation for each X, Y pair (Pearson’s r, Spearman’s r, point-biserial r, et cetera).
- Specify the sample size of the data set.
Step 2: Write Section 2 of the DAA.
- Test the assumptions of correlation for gpa and final.
- Paste the SPSS histogram output for each variable and discuss your visual interpretations.
- Paste SPSS descriptives output showing skewness and kurtosis values and interpret them.
- Paste SPSS scatter plot output with “gpa” set to the horizontal axis and “final” set to the vertical axis. Conduct a visual inspection of the scatter plot to analyze other assumptions of correlation.
- Summarize whether or not the assumptions of correlation are met.
Step 3: Write Section 3 of the DAA.
- Specify a research question related to gpa and final.
- Articulate the null hypothesis and alternative hypothesis.
- Specify your alpha level.
Step 4: Write Section 4 of the DAA.
- Paste the SPSS output of the intercorrelation matrix for all specified variables.
- First, report the lowest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
- Second, report the highest magnitude correlation in the intercorrelation matrix, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Specify whether or not to reject the null hypothesis for this correlation.
- Third, report the correlation between gpa and final, including degrees of freedom, correlation coefficient, p value, and effect size. Interpret the effect size. Analyze the correlation in terms of the null hypothesis.
Step 5: Write Section 5 of the DAA.
- Discuss the implications of this correlation as it relates to the research question.
- Conclude with an analysis of the strengths and limitations of correlational analysis.