A comprehensive statistical analysis investigating the relationship between education quality and world university rankings using the CWUR dataset (2012-2015). The study reveals a significant correlation (rs = 0.633, p<2.2e-16) between educational quality and global rankings, explaining 45.72% of ranking variance.
- R-based data analysis and visualization
- Statistical modeling using Spearman's correlation
- Time-series analysis across 2012-2015
- Interactive visualizations using ggplot2
- Comprehensive data preprocessing and cleaning
- Hypothesis testing and regression analysis
- R Programming
- Libraries: ggplot2, dplyr, tidyr
- Statistical Analysis Tools
- Data Visualization
- Strong positive correlation between education quality and rankings
- 45.72% variance explanation through R-squared value
- Consistent relationship across 2012-2015
- Non-normal distribution confirmed through Shapiro-Wilk test