Question: You are interested in determining if there are differences among blood urea nitrogen levels measured by 5 different regional labs. Similar samples of blood from
You are interested in determining if there are differences among blood urea nitrogen levels measured by 5 different regional labs. Similar samples of blood from 10 donors are sent to the labs and blood urea nitrogen levels (in mg/dL) are measured by similar methods in each lab. The results are shown in the table below: Donor Lab 1 Lab 2 Lab 3 Lab 4 Lab 5 1 11.76 12.57 11.22 10.22 10.98 2 13.87 17.06 13.03 15.18 15.68 3 10.27 9.29 13.32 10.98 12.54 4 12.91 13.95 14.14 11.80 13.95 5 12.50 12.18 15.01 12.24 14.83 6 11.11 17.46 15.54 12.31 13.13 7 15.87 11.42 17.82 14.10 18.95 8 11.22 11.25 12.87 13.88 10.89 9 12.91 15.71 11.22 12.87 14.63 10 20.78 17.17 17.51 18.33 14.68 N 10 10 10 10 10 Mean 13.32 13.81 14.17 13.19 14.03 SE 0.97 0.92 0.73 0.74 0.75 1. This is an example of a Latin Square experimental design. 2. The between subjects degrees of freedom would be 4. 3. The total degrees of freedom for an ANOVA of these data would be 49. 4. The Kruskal-Wallis test would be the best non-parametric alternative to ANOVA to analyze these data
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