Student and U.S. News and World Report Rankings of colleges Each year, U.S. News
ID: 3230518 • Letter: S
Question
Student and U.S. News and World Report Rankings of colleges Each year, U.S. News and World Report publishes rankings of colleges based on statistics such as admission rates, graduation rates, class size, faculty-student ratio, faculty salaries, and peer ratings of administrators. Economists Christopher Avery, Mark Glickman, Caroline Minter Hoxby, and Andrew Me trick took a alternative approach of analyzing the college choices of 3240 high-achieving school seniors. They examined the colleges that offered admission along with the colleges that the students chose to attend. The table below rankings for a small sample of colleges. Find the value of the rank correlation coefficient and use it to determine whether there is a correlation between the student rankings and the rankings of the magazine.Explanation / Answer
Spearman's Rho is a non-parametric test used to measure the strength of association between two variables, where the value r = 1 means a perfect positive correlation and the value r = -1 means a perfect negataive correlation.
Using Minitab:
Spearman Rho: Student rank, U.S. News and World Report rank
Spearman rho for Student rank and U.S. News and World Report rank = 0.714
P-Value = 0.047
If the p-value is less than or equal to your a-level-0.05 , then you can conclude that the correlation is different from zero.
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