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Suppose now a different experiment was conducted to examine the effect of a set of 5 treatments on subjects. Suppose each of the treatment,
Suppose now a different experiment was conducted to examine the effect of a set of 5 treatments on subjects. Suppose each of the treatment, labelled A, B, C, D and E, is independently implemented on 20 subjects. Suppose that treatment i's sample mean, y., is given as follows. Yi- Treatment A 0.491 Treatment B -0.077 Treatment C 1.224 Treatment D 1.354 Treatment E 0.859 The treatments have already been analysed with an ANOVA model and was found to have a statistically significant result requiring a more in-depth analysis looking at all the pairwise comparisons between treatments. Assuming the ANOVA analysis is valid, use the information above to answer the following questions: i. If we desire an overall significance level of a = 0.05, in the Bonferroni adjustment, what should the individual significance level, a* be for each individual pairwise test? Write your answer to at least 3 decimal places. ii. In the Tukey's HSD, we need the range statistic, max . min .. What's the value of this statistic?Write your answer to at least 3 decimal places.
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