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Question: Dissolved oxygen (mg/L) of the surface area from five lakes were measured for 5 days with n = 20, which tests are suitable to be used to determine the significance of the main effect and the associated pairs? Assume data are not normally distributed and heteroscedastic.
The most appropriate tests to use in this situation would be a non-parametric Kruskal-Wallis test for the main effect, and a Wilcoxon signed-rank test for the associated pairs. These tests are suitable for small sample sizes, do not require normally distributed data, and are robust to heteroscedasticity.
Jan. 17, 2023, 7:05 p.m.
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