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HW2_solution

# HW2_solution - 2.1 Tukey diff 2-1-0.18 3-1 0.38 4-1 0.44...

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2.1 Tukey: diff lwr upr p adj 2-1 -0.18 -0.76981435 0.4098143 0.8185430 3-1 0.38 -0.20981435 0.9698143 0.2903038 4-1 0.44 -0.14981435 1.0298143 0.1844794 3-2 0.56 -0.02981435 1.1498143 0.0657945 4-2 0.62 0.03018565 1.2098143 0.0376691 4-3 0.06 -0.52981435 0.6498143 0.9910783 Bonferroni method has same mean but different range, with range width 1.24. The Tukey method gives shorter intervals. 2.2 a) The Tukey critical value for α = .01 is 3.67. The Bonferroni critical value is 3.77. from Table 2.4, we see that no contrast test statistic exceeds either value. b) We would expect at least one contrast to be statistically significantly different at the .05 level since we rejected the F test null hypothesis at the .05 level. However, this methodology gives us no information about comparisons at the .01 level. c) Since the p-value for the F test is .02, we would not expect any contrast to be significantly different at the .01 level. 2.3

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HW2_solution - 2.1 Tukey diff 2-1-0.18 3-1 0.38 4-1 0.44...

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