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STAT 4220 HW5

# STAT 4220 HW5 - Austin Wen HW5 1 a Tukey plot with 99...

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-15 -10 -5 0 5 10 15 4-3 4-2 3-2 4-1 3-1 2-1 99% family-wise confidence level Differences in mean levels of x -10 -5 0 5 10 4-3 4-2 3-2 4-1 3-1 2-1 95% family-wise confidence level Differences in mean levels of x Austin Wen HW5 1. a. Tukey plot with 99% confidence level b. Both HW3 and the plot have suggest that pair Diet C and D has a significant difference to each other with 99% confidence level. c. Tukey plot with 95% confidence level

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-0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 10-9 8-7 7-6 7-5 8-4 9-3 5-3 8-2 4-2 8-1 4-1 95% family-wise confidence level Differences in mean levels of x With 95% confidence level, pairs Diet A and C, B and D, C and D have significant difference within the pairs. 2. a. ANOVA Table Df Sum Sq Mean Sq F value Pr(>F) factor(trt) 9 1 .82549 0.202832 23.6429 < 2.2e-16 *** factor(bl) 8 0.49958 0.062448 7.2791 4.902e-07 *** Residuals 72 0.61769 0.008579 b. : = =…= Ho β1 β2 β9 Vs. : Ha at least of β is not zero . According to the ANOVA table above, there is significant evidence that the blocking affects the experiment for us able to reject Ho. This conclusion is different from the HW4 with only four methods in the model.
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STAT 4220 HW5 - Austin Wen HW5 1 a Tukey plot with 99...

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