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Capella University *

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Psychology

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Jan 9, 2024

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Data Analysis and Application Template Marissa Gbenga Capella University Data Analysis Plan ● Quiz 1: Continuous ● GPA: Continuous ● Total: Continuous ● Final: Continuous Research Question: Is there a relationship between students' performance on Quiz 1 (X) and their performance on the Final Exam (Y)? Null Hypothesis (H0): There is no significant correlation between students' performance on Quiz 1 and their performance on the Final Exam. In other words, the correlation coefficient (ρ) between Quiz 1 scores and Final Exam scores is equal to 0. Alternative Hypothesis (H1): There is a significant correlation between students' performance on Quiz 1 and their performance on the Final Exam. The correlation coefficient (ρ) between Quiz 1 scores and Final Exam scores is not equal to 0.
Testing Assumptions 1. The normality assumption for the variables quiz1, gpa, total, and final was rigorously tested using the Shapiro-Wilk test, skewness, kurtosis, and visual inspection. The Shapiro-Wilk results, with p-values all below 0.05, indicate a significant departure from normality for each variable. Additionally, skewness and kurtosis values suggest deviations from a perfectly normal distribution, especially in quiz1 and gpa. These findings are consistent across statistical measures, raising concerns about the normality assumption. As a result, caution should be exercised when interpreting results from analyses that assume normality, and alternative methods or robust statistical approaches may be considered to account for the non-normal distribution of the data.
Results and Interpretation The correlation between Quiz 1 and GPA is small and statistically nonsignificant (p > 0.05). Therefore, we fail to reject the null hypothesis, suggesting no significant correlation between Quiz 1 and GPA.The correlation between Total and Final is large and statistically significant (p < 0.001). Therefore, we reject the null hypothesis, indicating a significant positive correlation between the total points and final exam scores.The correlation between GPA and Final is moderate and statistically significant (p < 0.001). We reject the null hypothesis, suggesting a meaningful positive correlation between GPA and Final exam scores. Statistical Conclusions In this analysis, I explored the relationships between students' performance on Quiz 1, their GPAs, the total points earned in the class, and their performance on the Final Exam. The Pearson's correlation coefficients revealed interesting patterns. The correlation between
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