Asked by Michaela Bracone on Jun 10, 2024
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A researcher was interested in comparing the GPAs of students at the three University of Toronto campuses: Scarborough,Mississauga,and St.George.Independent random samples of students were taken from each campus and their GPAs were recorded.At a significance level of 0.10,does the Kruskal-Wallis test provide evidence of any differences between the campuses in terms of the GPAs? Scarbarmugh Mississauga St. Gearge 3.73.83.93.23.22.83.03.13.52.53.93.42.73.82.93.62.53.7\begin{array} { c c c } \hline \text { Scarbarmugh } & \text { Mississauga } & \text { St. Gearge } \\\hline 3.7 & 3.8 & 3.9 \\\hline 3.2 & 3.2 & 2.8 \\3.0 & 3.1 & 3.5 \\2.5 & 3.9 & 3.4 \\2.7 & 3.8 & 2.9 \\3.6 & 2.5 & 3.7\end{array} Scarbarmugh 3.73.23.02.52.73.6 Mississauga 3.83.23.13.93.82.5 St. Gearge 3.92.83.53.42.93.7
Kruskal-Wallis Test
A non-parametric method for testing whether samples originate from the same distribution, used when the assumptions of a one-way ANOVA are not met.
University Of Toronto
A prestigious public research university located in Toronto, Ontario, Canada, known for its significant contributions to education and research.
GPAs
Grade Point Averages, a measure of a student's academic achievement at a college or university, calculated by averaging the grades of all their courses.
- Comprehend and conduct the Kruskal-Wallis test to determine differences across three or more independent samples.
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Learning Objectives
- Comprehend and conduct the Kruskal-Wallis test to determine differences across three or more independent samples.
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